Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#11719455 |
| Fitting | C2×C13×#131 ⋊ C2 |
| Sylow | C13 ⋊ C2×#568 |
1460 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
308 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15778374, #15860621, #15860770, … |
| maximal normal subgroup of | #15778374, #15860621, #15860770, … |
| maximal quotient of | C2×#13123252, C2×#13123262, C2×#13123263, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 19218);