Finite Group DatabasebetaFinite Group Databasebeta| order | 6048 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C32 · Schur multiplier (H2) = C25×C3 |
| direct product | C3×#72244406 |
| Fitting | C23×C32×C7 ⋊ C22×C3 |
| Hall | C32×ΓL(1,𝔽8) ⋊ H(5,𝔽2) |
| Sylow | C7 ⋊ C32×#1004 |
2424 conjugacy classes of subgroups.
| transitive degree | μt(G) = 168 |
297 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72269514 |
| maximal normal subgroup of | #72269514 |
Past the SmallGroups library coverage — no SmallGroups id.