Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#10710648 |
| Fitting | C2×C3×#1783 ⋊ C2 |
| Sylow | C3 ⋊ C2×#12687 |
22592 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
144 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72231720, C2×#72231676, C2×D3×#12687, … |
| maximal normal subgroup of | C2×#72231720, C2×#72231676, C2×D3×#12687, … |
Past the SmallGroups library coverage — no SmallGroups id.