Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11719426 |
| Sylow | C13 ⋊ C2×#557 |
1048 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
218 conjugacy classes — view the full character table.
| maximal subgroup of | #15754654, #15754664, #15755014, … |
| maximal normal subgroup of | #15754654, #15754664, #15755014, … |
| maximal quotient of | C2×#13117748, C2×#13117755, C2×#13117792, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 18079);