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,c^b=cg,h^b=h^12284 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#1398, C2×#13112971, #15783105, … |
| maximal normal subgroup of | D13×#1398, C2×#13112971, #15783105, … |
| maximal quotient of | #15750248, #15750253, #15750607, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 2645);