Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11719330 |
| Sylow | C13 ⋊ C2×#541 |
1004 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
212 conjugacy classes — view the full character table.
| maximal subgroup of | #15755432, #15868071, #15868075, … |
| maximal normal subgroup of | #15755432, #15868071, #15868075, … |
| maximal quotient of | C2×#13117443, C2×#13117481, C2×#13117483, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 17876);