Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C210 |
| direct product | C2×#10949251 |
| Fitting | C2×C3×#2127 ⋊ C2 |
| Sylow | C3 ⋊ C2×#33551 |
9028 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
114 conjugacy classes — view the full character table.
| maximal subgroup of | #72248495, #72248514, C2×D3×#33551, … |
| maximal normal subgroup of | #72248495, #72248514, C2×D3×#33551, … |
| maximal quotient of | #72269981 |
Past the SmallGroups library coverage — no SmallGroups id.