Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C210 |
| direct product | C2×#10687789 |
| Fitting | C2×C3×#1781 ⋊ C2 |
| Sylow | C3 ⋊ C2×#8541 |
23164 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
144 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72231371, C2×D3×#8541, C2×#72231325, … |
| maximal normal subgroup of | C2×#72231371, C2×D3×#8541, C2×#72231325, … |
Past the SmallGroups library coverage — no SmallGroups id.