Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C13 ⋊ #1398 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^7,13|a^2=c,b^2=d,c^2=e,e^2=f,f^2=g,b^a=bf,d^a=dg,h^a=h^12,c^b=cg284 conjugacy classes — view the full character table.
| maximal subgroup of | #15750254, #15750255, #15750256, … |
| maximal normal subgroup of | #15750254, #15750255, #15750256, … |
| maximal quotient of | #15750249, #15750252, #15750608, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 2646);