[GAP Forum] asking about gap
Roghiyeh Adhamy
r_adhamy at yahoo.com
Sun Oct 28 05:58:45 GMT 2007
Dear GAP Forum,
Thank you for your response, but I would like the structure of the following Groups:
G1=SmallGroup(32,6)
with the minimal generating set
{ (1,9)(2,10)(3,12)(4,11)(5,13)(6,14)(7,16)(8,15)(17,25)(18,26)(19,28)(20, 27)(21,29)(22,30)(23,32)(24,31),
(1,17,3,19)(2,18,4,20)(5,22,7,24)(6,21,8,23)(9,29,11,31)(10,30,12,32)(13,26,15,28)(14,25,16,27)}
G2=SmallGroup(32,7)
with the minimal generating set
{(1,9)(2,10)(3,12)(4,11)(5,13)(6,14)(7,16)(8,15)(17,25)(18,26)(19,28)(20,27)(21,29)(22,30)(23,32)(24,31),
(1,17,3,19,2,18,4,20)(5,22,7,24,6,21,8,23)(9,29,11,31,10,30,12,32)(13,26,15,28,14,25,16,27) }
G3=SmallGroup(32,8)
with the minimal generating set
{(1,9,2,10)(3,12,4,11)(5,13,6,14)(7,16,8,15)(17,25,18,26)(19,28,20,27)(21,29,22,30)(23,32,24,31),
(1,17,3,19,2,18,4,20)(5,22,7,24,6,21,8,23)(9,29,11,31,10,30,12,32)(13,26,15,28,14,25,16,27) }
G4=SmallGroup(32,11)
with the minimal generating set
{(1,9)(2,10)(3,11)(4,12)(5,14)(6,13)(7,16)(8,15)(17,25)(18,26)(19,27)(20,28)(21,30)(22,29)(23,32)(24,31),
(1,17,3,19,2,18,4,20)(5,22,7,24,6,21,8,23)(9,29,11,31,10,30,12,32)(13,25,15,27,14,26,16,28) }
G5=SmallGroup(32,27)
with the minimal generating set
{(1,5)(2,6)(3,7)(4,8)(9,13)(10,14)(11,15)(12,16)(17,21)(18,22)(19,23)(20,24)(25,29)(26,30)(27,31)(28,32),
(1,9)(2,10)(3,11)(4,12)(5,13)(6,14)(7,15)(8,16)(17,25)(18,26)(19,27)(20,28)(21,29)(22,30)(23,31)(24,32),
(1,17)(2,18)(3,19)(4,20)(5,22)(6,21)(7,24)(8,23)(9,27)(10,28)(11,25)(12,26)(13,32)(14,31)(15,30)(16,29) }
G6=SmallGroup(32,34)
with the minimal generating set
{(1,5,2,6)(3,7,4,8)(9,13,10,14)(11,15,12,16)(17,21,18,22)(19,23,20,24)(25,29,26,30)(27,31,28,32),
(1,9,3,11)(2,10,4,12)(5,13,7,15)(6,14,8,16)(17,25,19, 27)(18,26,20,28)(21,29,23,31)(22,30,24,32),
(1,17)(2,18)(3,19)(4,20)(5,22)(6,21)(7,24)(8,23)(9,27)(10,28)(11,25)(12,26)(13,32)(14,31)(15,30)(16,29) }
G7=SmallGroup(32,35)
with the minimal generating set
{(1,5,2,6)(3,7,4,8)(9,13,10,14)(11,15,12,16)(17,21,18,22)(19,23,20,24)(25,29,26,30)(27,31,28,32),
(1,9,3,11)(2,10,4,12)(5,13,7,15)(6,14,8,16)(17,25,19,27)(18,26,20,28)(21,29,23,31)(22,30,24,32),
(1,17,3,19)(2,18,4,20)(5,22,7,24)(6,21,8,23)(9,27,11,25)(10,28,12,26)(13,32,15,30)(14,31,16,29) }
G8=SmallGroup(32,43)
with the minimal generating set
{(1,5)(2,6)(3,7)(4,8)(9,13)(10,14)(11,15)(12,16)(17,21)(18,22)(19,23)(20,24)(25,29)(26,30)(27,31)(28,32),
(1,9)(2,10)(3,12)(4,11)(5,13)(6,14)(7,16)(8,15)(17,25)(18,26)(19,28)(20,27)(21,29)(22,30)(23,32)(24,31),
(1,17)(2,18)(3,20)(4,19)(5,22)(6,21)(7,23)(8,24)(9,27)(10,28)(11,25)(12,26)(13,32)(14,31)(15,30)(16,29) }
G9=SmallGroup(32,44)
with the minimal generating set
{(1,5)(2,6)(3,7)(4,8)(9,13)(10,14)(11,15)(12,16)(17,21)(18,22)(19,23)(20,24)(25,29)(26,30)(27,31)(28,32),
(1,9,2,10)(3,12,4,11)(5,13,6,14)(7,16,8,15)(17,25,18,26)(19,28,20,27)(21,29,22,30)(23,32,24,31),
(1,17)(2,18)(3,20)(4,19)(5,22)(6,21)(7,23)(8,24)(9,27)(10,28)(11,25)(12,26)(13,32)(14,31)(15,30)(16,29)}
G10=SmallGroup(32,49)
with the minimal generating set
{ (1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16)(17,19)(18,20)(21,23)(22,24)(25,27)(26,28)(29,31)(30,32),
(1,5)(2,6)(3,7)(4,8)(9,13)(10,14)(11,15)(12,16)(17,21)(18,22)(19,23)(20,24)(25,29)(26,30)(27,31)(28,32),
(1,9)(2,10)(3,11)(4,12)(5,14)(6,13)(7,16)(8,15)(17,25)(18,26)(19,27)(20, 28)(21,30)(22,29)(23,32)(24,31),
(1,17)(2,18)(3,20)(4,19)(5,21)(6,22)(7, 24)(8,23)(9,26)(10,25)(11,27)(12,28)(13,30)(14,29)(15,31)(16,32) }
G11=SmallGroup(32,50)
with the minimal generating set
{(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16)(17,19)(18,20)(21,23)(22, 24)(25,27)(26,28)(29,31)(30,32),
(1,5,2,6)(3,7,4,8)(9,13,10,14)(11,15,12,16)(17,21,18,22)(19,23,20,24)(25,29,26,30)(27,31,28,32),
(1,9,2,10)(3,11,4,12)(5,14,6,13)(7,16,8,15)(17,25,18,26)(19,27,20,28)(21,30,22,29)(23,32,24,31),
(1,17)(2,18)(3,20)(4,19)(5,21)(6,22)(7,24)(8,23)(9,26)(10,25)(11,27)(12,28)(13,30)(14,29)(15,31)(16,32) }
In fact I would like to know what is the isomorphism of Gi with the well-known groups (for example symmetric groups,dihedral groups,...)
I am looking forward to hearing from you.
With Best Regards,
S. R. Adhamy
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