Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11719356 |
| Sylow | C13 ⋊ C2×#563 |
1024 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
206 conjugacy classes — view the full character table.
| maximal subgroup of | #15778747, #15778748, C2×#13116847, … |
| maximal normal subgroup of | #15778747, #15778748, C2×#13116847, … |
| maximal quotient of | C2×#13117979, C2×#13117984, C2×#13118003, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 18643);