Finite Group DatabasebetaFinite Group Databasebeta| order | 1296 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#733⋊Q8 |
| unambiguous semidirect product | (C2×#733)⋊Q8 |
| Sylow | #733 ⋊ C2×Q8 |
247 conjugacy classes of subgroups.
| transitive degree | μt(G) = 432 |
86 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1296, 1155);