Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11719365 |
| Fitting | C2×C13×#123 ⋊ C2 |
| Sylow | C13 ⋊ C2×#539 |
1144 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
212 conjugacy classes — view the full character table.
| maximal subgroup of | #15828947, #15829066, C4×#11719365, … |
| maximal normal subgroup of | #15828947, #15829066, C4×#11719365, … |
| maximal quotient of | C2×#13117435, C2×#13117465, C2×#13117466, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 17857);