Finite Group DatabasebetaFinite Group Databasebeta| order | 4608 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C82 · Schur multiplier (H2) = C23×C3 |
| direct product | C3⋊D3×#7330 |
| Fitting | C32×#7330 ⋊ C2 |
| Sylow | C32 ⋊ C2×#7330 |
1260 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2304 |
528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3⋊D3×#93668, C3⋊D3×#93877, C3⋊D3×#151085 |
| maximal normal subgroup of | C3⋊D3×#93668, C3⋊D3×#93877, C3⋊D3×#151085 |
Past the SmallGroups library coverage — no SmallGroups id.