Dear GAP Forum,

I believe I found a case in gap4v3 where IdGroup() command fails -
the output is [70, fail];

Below is the input file - sorry it's too long, it was generated outside
GAP and I just import it into GAP:

G:=Group([ (), (1,38,35,66,49,42,6)(2,54,48,14,9,41,39)(3,7,40,43,15,22,36)(4,37,33,68,
    65,28,12)(5,24,58,62,29,32,69)(8,70,34,30,64,60,26)(10,61,55,21,16,47,
    44)(11,46,51,17,23,56,63)(13,50,53,19,25,59,67)(18,20,52,57,27,31,45), 
  (1,35,49,6,38,66,42)(2,48,9,39,54,14,41)(3,40,15,36,7,43,22)(4,33,65,12,37,
    68,28)(5,58,29,69,24,62,32)(8,34,64,26,70,30,60)(10,55,16,44,61,21,47)(11,
    51,23,63,46,17,56)(13,53,25,67,50,19,59)(18,52,27,45,20,57,31), 
  (1,66,6,35,42,38,49)(2,14,39,48,41,54,9)(3,43,36,40,22,7,15)(4,68,12,33,28,
    37,65)(5,62,69,58,32,24,29)(8,30,26,34,60,70,64)(10,21,44,55,47,61,16)(11,
    17,63,51,56,46,23)(13,19,67,53,59,50,25)(18,57,45,52,31,20,27), 
  (1,49,38,42,35,6,66)(2,9,54,41,48,39,14)(3,15,7,22,40,36,43)(4,65,37,28,33,
    12,68)(5,29,24,32,58,69,62)(8,64,70,60,34,26,30)(10,16,61,47,55,44,21)(11,
    23,46,56,51,63,17)(13,25,50,59,53,67,19)(18,27,20,31,52,45,57), 
  (1,42,66,38,6,49,35)(2,41,14,54,39,9,48)(3,22,43,7,36,15,40)(4,28,68,37,12,
    65,33)(5,32,62,24,69,29,58)(8,60,30,70,26,64,34)(10,47,21,61,44,16,55)(11,
    56,17,46,63,23,51)(13,59,19,50,67,25,53)(18,31,57,20,45,27,52), 
  (1,6,42,49,66,35,38)(2,39,41,9,14,48,54)(3,36,22,15,43,40,7)(4,12,28,65,68,
    33,37)(5,69,32,29,62,58,24)(8,26,60,64,30,34,70)(10,44,47,16,21,55,61)(11,
    63,56,23,17,51,46)(13,67,59,25,19,53,50)(18,45,31,27,57,52,20), 
  (1,33,16,30,9)(2,66,28,10,26)(3,18,58,46,50)(4,55,70,48,42)(5,63,67,22,
    31)(6,37,21,34,14)(7,20,62,51,53)(8,54,49,12,61)(11,13,36,45,24)(15,27,69,
    56,59)(17,19,40,52,29)(23,25,43,57,32)(35,65,44,60,39)(38,68,47,64,41), 
  (1,68,44,26,54,42,37,16,64,39,66,12,55,34,9,38,65,10,8,48,6,33,47,60,2,49,4,
    21,30,41,35,28,61,70,14)(3,20,29,23,59,22,45,58,51,19,43,27,5,11,50,7,52,
    32,56,67,36,18,62,17,25,15,31,24,46,53,40,57,69,63,13), 
  (1,65,61,34,41,66,4,16,60,54,6,68,10,70,9,35,12,21,64,2,42,33,44,8,14,38,28,
    55,30,39,49,37,47,26,48)(3,52,69,11,53,43,31,58,17,59,36,20,32,63,50,40,
    27,24,51,25,22,18,29,56,13,7,57,5,46,19,15,45,62,23,67), 
  (1,28,21,60,48,38,12,16,26,14,35,4,47,8,9,66,37,44,70,41,49,33,10,34,39,42,
    68,61,30,2,6,65,55,64,54)(3,57,24,17,67,7,27,58,23,13,40,31,62,56,50,43,
    45,29,63,53,15,18,32,11,19,22,20,69,46,25,36,52,5,51,59), 
  (1,12,47,70,39,6,28,16,8,41,42,65,21,26,9,49,68,55,60,14,66,33,61,64,48,35,
    37,10,30,54,38,4,44,34,2)(3,27,62,63,19,36,57,58,56,53,22,52,24,23,50,15,
    20,5,17,13,43,18,69,51,67,40,45,32,46,59,7,31,29,11,25), 
  (1,4,10,64,14,49,65,16,70,2,38,37,61,60,9,42,28,47,34,54,35,33,55,26,41,6,
    12,44,30,48,66,68,21,8,39)(3,31,32,51,13,15,52,58,63,25,7,45,69,17,50,22,
    57,62,11,59,40,18,5,23,53,36,27,29,46,67,43,20,24,56,19), 
  (1,37,55,8,2,35,68,16,34,48,49,28,44,64,9,6,4,61,26,39,38,33,21,70,54,66,65,
    47,30,14,42,12,10,60,41)(3,45,5,56,25,40,20,58,11,67,15,57,29,51,50,36,31,
    69,23,19,7,18,24,63,59,43,52,62,46,13,22,27,32,17,53), 
  (1,16,9,33,30)(2,28,26,66,10)(3,58,50,18,46)(4,70,42,55,48)(5,67,31,63,
    22)(6,21,14,37,34)(7,62,53,20,51)(8,49,61,54,12)(11,36,24,13,45)(15,69,59,
    27,56)(17,40,29,19,52)(23,43,32,25,57)(35,44,39,65,60)(38,47,41,68,64), 
  (1,47,39,28,8,42,21,9,68,60,66,61,48,37,30,38,44,2,12,70,6,16,41,65,26,49,
    55,14,33,64,35,10,54,4,34)(3,62,19,57,56,22,24,50,20,17,43,69,67,45,46,7,
    29,25,27,63,36,58,53,52,23,15,5,13,18,51,40,32,59,31,11), 
  (1,44,54,37,64,66,55,9,65,8,6,47,2,4,30,35,61,14,68,26,42,16,39,12,34,38,10,
    48,33,60,49,21,41,28,70)(3,29,59,45,51,43,5,50,52,56,36,62,25,31,46,40,69,
    13,20,23,22,58,19,27,11,7,32,67,18,17,15,24,53,57,63), 
  (1,10,14,65,70,38,61,9,28,34,35,55,41,12,30,66,21,39,4,64,49,16,2,37,60,42,
    47,54,33,26,6,44,48,68,8)(3,32,13,52,63,7,69,50,57,11,40,5,53,27,46,43,24,
    19,31,51,15,58,25,45,17,22,62,59,18,23,36,29,67,20,56), 
  (1,61,41,4,60,6,10,9,12,64,42,44,14,28,30,49,47,48,65,34,66,16,54,68,70,35,
    21,2,33,8,38,55,39,37,26)(3,69,53,31,17,36,32,50,27,51,22,29,13,57,46,15,
    62,67,52,11,43,58,59,20,63,40,24,25,18,56,7,5,19,45,23), 
  (1,55,2,68,34,49,44,9,4,26,38,21,54,65,30,42,10,41,37,8,35,16,48,28,64,6,61,
    39,33,70,66,47,14,12,60)(3,5,25,20,11,15,29,50,31,23,7,24,59,52,46,22,32,
    53,45,56,40,58,67,57,51,36,69,19,18,63,43,62,13,27,17), 
  (1,21,48,12,26,35,47,9,37,70,49,10,39,68,30,6,55,54,28,60,38,16,14,4,8,66,
    44,41,33,34,42,61,2,65,64)(3,24,67,27,23,40,62,50,45,63,15,32,19,20,46,36,
    5,59,57,17,7,58,13,31,56,43,29,53,18,11,22,69,25,52,51), 
  (1,30,33,9,16)(2,10,66,26,28)(3,46,18,50,58)(4,48,55,42,70)(5,22,63,31,
    67)(6,34,37,14,21)(7,51,20,53,62)(8,12,54,61,49)(11,45,13,24,36)(15,56,27,
    59,69)(17,52,19,29,40)(23,57,25,32,43)(35,60,65,39,44)(38,64,68,41,47), 
  (1,64,65,2,61,42,34,33,41,44,66,8,4,14,16,38,60,28,54,55,6,30,68,39,10,49,
    70,37,9,47,35,26,12,48,21)(3,51,52,25,69,22,11,18,53,29,43,56,31,13,58,7,
    17,57,59,5,36,46,20,19,32,15,63,45,50,62,40,23,27,67,24), 
  (1,60,12,14,47,66,70,33,39,61,6,64,28,48,16,35,8,37,41,10,42,30,65,54,21,38,
    26,4,9,44,49,34,68,2,55)(3,17,27,13,62,43,63,18,19,69,36,51,57,67,58,40,
    56,45,53,32,22,46,52,59,24,7,23,31,50,29,15,11,20,25,5), 
  (1,26,37,39,55,38,8,33,2,21,35,70,68,54,16,66,34,65,48,47,49,30,28,14,44,42,
    64,12,9,10,6,60,4,41,61)(3,23,45,19,5,7,56,18,25,24,40,63,20,59,58,43,11,
    52,67,62,15,46,57,13,29,22,51,27,50,32,36,17,31,53,69), 
  (1,8,68,48,44,6,26,33,54,47,42,60,37,2,16,49,64,4,39,21,66,30,12,41,55,35,
    34,28,9,61,38,70,65,14,10)(3,56,20,67,29,36,23,18,59,62,22,17,45,25,58,15,
    51,31,19,24,43,46,27,53,5,40,11,57,50,69,7,63,52,13,32), 
  (1,70,28,41,21,49,60,33,48,10,38,34,12,39,16,42,26,68,14,61,35,30,4,2,47,6,
    8,65,9,55,66,64,37,54,44)(3,63,57,53,24,15,17,18,67,32,7,11,27,19,58,22,
    23,20,13,69,40,46,31,25,62,36,56,52,50,5,43,51,45,59,29), 
  (1,34,4,54,10,35,64,33,14,55,49,26,65,41,16,6,70,12,2,44,38,30,37,48,61,66,
    60,68,9,21,42,8,28,39,47)(3,11,31,59,32,40,51,18,13,5,15,23,52,53,58,36,
    63,27,25,29,7,46,45,67,69,43,17,20,50,24,22,56,57,19,62), 
  (1,9,30,16,33)(2,26,10,28,66)(3,50,46,58,18)(4,42,48,70,55)(5,31,22,67,
    63)(6,14,34,21,37)(7,53,51,62,20)(8,61,12,49,54)(11,24,45,36,13)(15,59,56,
    69,27)(17,29,52,40,19)(23,32,57,43,25)(35,39,60,44,65)(38,41,64,47,68), 
  (1,41,60,10,12,42,14,30,47,65,66,54,70,21,33,38,39,26,61,4,6,9,64,44,28,49,
    48,34,16,68,35,2,8,55,37)(3,53,17,32,27,22,13,46,62,52,43,59,63,24,18,7,
    19,23,69,31,36,50,51,29,57,15,67,11,58,20,40,25,56,5,45), 
  (1,39,8,21,68,66,48,30,44,12,6,41,26,55,33,35,54,34,47,28,42,9,60,61,37,38,
    2,70,16,65,49,14,64,10,4)(3,19,56,24,20,43,67,46,29,27,36,53,23,5,18,40,
    59,11,62,57,22,50,17,69,45,7,25,63,58,52,15,13,51,32,31), 
  (1,2,34,44,4,38,54,30,10,37,35,48,64,61,33,66,14,60,55,68,49,9,26,21,65,42,
    41,8,16,28,6,39,70,47,12)(3,25,11,29,31,7,59,46,32,45,40,67,51,69,18,43,
    13,17,5,20,15,50,23,24,52,22,53,56,58,57,36,19,63,62,27), 
  (1,54,64,55,65,6,2,30,61,68,42,39,34,10,33,49,41,70,44,37,66,9,8,47,4,35,14,
    26,16,12,38,48,60,21,28)(3,59,51,5,52,36,25,46,69,20,22,19,11,32,18,15,53,
    63,29,45,43,50,56,62,31,40,13,23,58,27,7,67,17,24,57), 
  (1,48,26,47,37,49,39,30,55,28,38,14,8,44,33,42,2,64,21,12,35,9,70,10,68,6,
    54,60,16,4,66,41,34,61,65)(3,67,23,62,45,15,19,46,5,57,7,13,56,29,18,22,
    25,51,24,27,40,50,63,32,20,36,59,17,58,31,43,53,11,69,52), 
  (1,14,70,61,28,35,41,30,21,4,49,2,60,47,33,6,48,8,10,65,38,9,34,55,12,66,39,
    64,16,37,42,54,26,44,68)(3,13,63,69,57,40,53,46,24,31,15,25,17,62,18,36,
    67,56,32,52,7,50,11,5,27,43,19,51,58,45,22,59,23,29,20), 
  (1,3)(2,27)(4,19)(5,60)(6,7)(8,32)(9,18)(10,56)(11,47)(12,25)(13,68)(14,
    20)(15,66)(16,46)(17,55)(21,51)(22,35)(23,61)(24,64)(26,69)(28,59)(29,
    70)(30,58)(31,39)(33,50)(34,62)(36,38)(37,53)(40,42)(41,45)(43,49)(44,
    63)(48,52)(54,57)(65,67), (1,7)(2,31)(3,38)(4,25)(5,26)(6,40)(8,69)(9,
    20)(10,63)(11,44)(12,59)(13,65)(14,52)(15,49)(16,51)(17,21)(18,41)(19,
    37)(22,66)(23,55)(24,60)(27,54)(28,67)(29,34)(30,62)(32,70)(33,53)(35,
    36)(39,45)(42,43)(46,47)(48,57)(50,68)(56,61)(58,64), 
  (1,40)(2,45)(3,35)(4,59)(5,8)(6,43)(7,38)(9,52)(10,11)(12,67)(13,28)(14,
    57)(15,42)(16,17)(18,39)(19,33)(20,41)(21,23)(22,49)(24,26)(25,37)(27,
    48)(29,30)(31,54)(32,34)(36,66)(44,46)(47,51)(50,65)(53,68)(55,56)(58,
    60)(61,63)(62,64)(69,70), (1,43)(2,18)(3,66)(4,67)(5,70)(6,15)(7,35)(8,
    24)(9,57)(10,46)(11,61)(12,13)(14,27)(16,23)(17,47)(19,68)(20,39)(21,
    56)(22,42)(25,33)(26,58)(28,50)(29,64)(30,32)(31,48)(34,69)(36,49)(37,
    59)(38,40)(41,52)(44,51)(45,54)(53,65)(55,63)(60,62), 
  (1,15)(2,20)(3,49)(4,13)(5,34)(6,22)(7,66)(8,58)(9,27)(10,51)(11,55)(12,
    50)(14,31)(16,56)(17,44)(18,54)(19,65)(21,63)(23,47)(24,70)(25,68)(26,
    62)(28,53)(29,60)(30,69)(32,64)(33,59)(35,40)(36,42)(37,67)(38,43)(39,
    52)(41,57)(45,48)(46,61), (1,22)(2,52)(3,42)(4,50)(5,30)(6,36)(7,49)(8,
    62)(9,31)(10,17)(11,21)(12,53)(13,37)(14,45)(15,38)(16,63)(18,48)(19,
    28)(20,54)(23,44)(24,34)(25,65)(26,29)(27,41)(32,60)(33,67)(35,43)(39,
    57)(40,66)(46,55)(47,56)(51,61)(58,70)(59,68)(64,69), 
  (1,36)(2,57)(3,6)(4,53)(5,64)(7,42)(8,29)(9,45)(10,23)(11,16)(12,19)(13,
    33)(14,18)(15,35)(17,61)(20,48)(21,46)(22,38)(24,30)(25,28)(26,32)(27,
    39)(31,41)(34,58)(37,50)(40,49)(43,66)(44,56)(47,63)(51,55)(52,54)(59,
    65)(60,69)(62,70)(67,68), (1,18)(2,69)(3,33)(4,40)(5,39)(6,20)(7,37)(8,
    23)(9,58)(10,59)(11,64)(12,43)(13,47)(14,62)(15,28)(16,50)(17,70)(19,
    55)(21,53)(22,65)(24,41)(25,61)(26,56)(27,66)(29,48)(30,46)(31,35)(32,
    54)(34,51)(36,68)(38,45)(42,52)(44,67)(49,57)(60,63), 
  (1,20)(2,5)(3,68)(4,43)(6,52)(7,33)(8,56)(9,62)(10,67)(11,60)(12,15)(13,
    44)(14,29)(16,53)(17,34)(18,38)(19,21)(22,28)(23,70)(24,39)(25,55)(26,
    63)(27,49)(30,51)(31,66)(32,48)(35,45)(36,65)(37,40)(41,58)(42,57)(46,
    64)(47,50)(54,69)(59,61), (1,52)(2,24)(3,65)(4,15)(5,54)(6,57)(7,68)(8,
    63)(9,29)(10,13)(11,26)(12,22)(14,32)(16,19)(17,30)(18,35)(20,38)(21,
    25)(23,34)(27,42)(28,36)(31,49)(33,40)(37,43)(39,58)(41,62)(44,50)(45,
    66)(46,60)(47,53)(48,69)(51,64)(55,59)(56,70)(61,67), 
  (1,57)(2,58)(3,28)(4,22)(5,48)(6,27)(7,65)(8,11)(9,32)(10,50)(12,36)(13,
    61)(14,69)(15,37)(16,25)(17,64)(18,66)(19,47)(20,35)(21,59)(23,30)(24,
    54)(26,46)(29,41)(31,42)(33,43)(34,56)(38,52)(39,62)(40,68)(44,53)(45,
    49)(51,60)(55,67)(63,70), (1,27)(2,62)(3,12)(4,36)(5,14)(6,31)(7,28)(8,
    46)(9,69)(10,53)(11,70)(13,55)(15,33)(16,59)(17,60)(18,49)(19,44)(20,
    66)(21,67)(22,37)(23,64)(24,48)(25,47)(26,51)(29,39)(30,56)(32,41)(34,
    63)(35,52)(38,57)(40,65)(42,45)(43,68)(50,61)(54,58), 
  (1,31)(2,29)(3,4)(5,9)(6,45)(7,12)(8,51)(10,19)(11,34)(13,21)(14,24)(15,
    68)(16,67)(17,26)(18,42)(20,49)(22,33)(23,60)(25,44)(27,38)(28,40)(30,
    63)(32,39)(35,57)(36,37)(41,69)(43,65)(46,70)(47,59)(48,58)(50,55)(52,
    66)(53,61)(54,62)(56,64), (1,45)(2,32)(3,37)(4,7)(5,41)(6,18)(8,17)(9,
    24)(10,25)(11,30)(12,40)(13,16)(14,58)(15,65)(19,61)(20,42)(21,50)(22,
    68)(23,26)(27,35)(28,43)(29,54)(31,38)(33,36)(34,46)(39,69)(44,59)(47,
    67)(48,62)(49,52)(51,70)(53,55)(56,60)(57,66)(63,64), 
  (1,58)(2,56)(3,16)(4,52)(5,35)(6,62)(7,21)(8,25)(9,46)(10,15)(11,41)(12,
    57)(13,64)(14,51)(17,48)(18,33)(19,70)(20,37)(22,44)(23,54)(24,38)(26,
    59)(27,28)(29,42)(30,50)(31,65)(32,49)(34,53)(36,47)(39,63)(40,55)(43,
    61)(45,68)(60,67)(66,69), (1,62)(2,63)(3,47)(4,57)(5,66)(6,29)(7,16)(8,
    59)(9,51)(10,22)(11,39)(12,27)(13,60)(14,17)(15,61)(18,68)(19,34)(20,
    33)(21,40)(23,48)(24,35)(25,70)(26,67)(28,31)(30,53)(32,42)(36,44)(37,
    52)(38,58)(41,46)(43,55)(45,65)(49,69)(50,64)(54,56), 
  (1,29)(2,11)(3,44)(4,27)(5,49)(6,32)(7,47)(8,67)(9,17)(10,36)(12,31)(13,
    26)(14,23)(15,55)(16,40)(18,65)(19,30)(20,68)(21,43)(22,61)(24,66)(25,
    34)(28,45)(33,52)(35,58)(37,57)(38,62)(39,46)(41,51)(42,69)(48,56)(50,
    60)(53,64)(54,63)(59,70), (1,32)(2,46)(3,10)(4,31)(5,42)(6,69)(7,44)(8,
    13)(9,23)(11,54)(12,45)(14,56)(15,21)(16,43)(17,41)(18,28)(19,64)(20,
    65)(22,55)(24,49)(25,30)(26,50)(27,37)(29,38)(33,57)(34,59)(35,62)(36,
    61)(39,51)(40,47)(48,63)(52,68)(53,60)(58,66)(67,70), 
  (1,69)(2,51)(3,61)(4,45)(5,6)(7,10)(8,50)(9,56)(11,48)(12,18)(13,70)(14,
    63)(15,16)(17,39)(19,60)(20,28)(21,22)(23,41)(24,42)(25,64)(26,53)(27,
    33)(29,35)(30,59)(31,37)(32,38)(34,67)(36,55)(40,44)(43,47)(46,54)(49,
    58)(52,65)(57,68)(62,66), (1,5)(2,17)(3,55)(4,18)(6,24)(7,61)(8,53)(9,
    63)(10,40)(11,14)(12,20)(13,34)(15,47)(16,22)(19,26)(21,36)(23,39)(25,
    60)(27,68)(28,52)(29,66)(30,67)(31,33)(32,35)(37,45)(38,69)(41,56)(42,
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    69)(55,62)(56,65)(63,68) ]);
IdGroup(G);

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