Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11719184 |
| Fitting | C22×C42×C13 ⋊ C2 |
| Sylow | C13 ⋊ C2×#529 |
1232 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15754306, #15754309, #15754367, … |
| maximal normal subgroup of | #15754306, #15754309, #15754367, … |
| maximal quotient of | C2×#13117234, C2×#13117279, C2×#13117300, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 17776);