Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11719175 |
| Sylow | C13 ⋊ C2×#533 |
1168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15754302, #15754304, #15754381, … |
| maximal normal subgroup of | #15754302, #15754304, #15754381, … |
| maximal quotient of | C2×#13117243, C2×#13117313, C2×#13117319, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 17801);