Finite Group DatabasebetaFinite Group Databasebeta| order | 4608 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C25×C3 |
| direct product | C2×C3⋊D3×#1398 |
| Fitting | C2×C32×#1398 ⋊ C2 |
| Sylow | C32 ⋊ C22×#1398 |
3132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×C3⋊D3×#7333 |
| maximal normal subgroup of | C2×C3⋊D3×#7333 |
Past the SmallGroups library coverage — no SmallGroups id.