Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11719307 |
| 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 | #15754739, #15754743, C2×#13113762, … |
| maximal normal subgroup of | #15754739, #15754743, C2×#13113762, … |
| maximal quotient of | C2×#13117438, C2×#13117462, C2×#13117510, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 17859);