Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C211 |
| direct product | C2×#10826735 |
| Fitting | C2×C3×#2021 ⋊ C2 |
| Sylow | C3 ⋊ C2×#23895 |
14444 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
132 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D3×#23895, #72270253, #72271551 |
| maximal normal subgroup of | C2×D3×#23895, #72270253, #72271551 |
| maximal quotient of | C2×#72231812 |
Past the SmallGroups library coverage — no SmallGroups id.