Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11719289 |
| Fitting | C2×C4×Q8×C13 ⋊ C2 |
| Sylow | C13 ⋊ C2×#556 |
1112 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
290 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15754545, #15754548, #15754651, … |
| maximal normal subgroup of | #15754545, #15754548, #15754651, … |
| maximal quotient of | C2×#13117725, C2×#13117783, C2×#13117793, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 18059);