Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C210 |
| direct product | C2×S4×#131 |
| Fitting | C23×#131 ⋊ D3 |
10569 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
200 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72342683, #72342856 |
| maximal quotient of | C2×#72342683 |
| outer automorphism group of | C2×#2258 |
Past the SmallGroups library coverage — no SmallGroups id.