Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#11718901 |
| Sylow | C13 ⋊ C2×#410 |
788 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15768246, #15768247, #15768251, … |
| maximal normal subgroup of | #15768246, #15768247, #15768251, … |
| maximal quotient of | C2×#13113150, C2×#13113157, C2×#13113160, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 12967);