Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#11718609 |
| Sylow | C13 ⋊ C2×#396 |
908 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15784774, C4×#11718609, #15788559, … |
| maximal normal subgroup of | #15784774, C4×#11718609, #15788559, … |
| maximal quotient of | C2×#13113079, C2×#13113081, C2×#13113087, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 7731);