Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C16 · Schur multiplier (H2) = C25×C3 |
| direct product | C2×C3⋊D3×M64 |
| Fitting | C2×C32×M64 ⋊ C2 |
| Sylow | C32 ⋊ C22×M64 |
1506 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
480 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×C3⋊D3×#1398 |
| maximal normal subgroup of | C2×C3⋊D3×#1398 |
Past the SmallGroups library coverage — no SmallGroups id.