Finite Group DatabasebetaFinite Group Databasebeta| order | 7200 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26×C3 |
| direct product | C2×#72231465 |
| Fitting | C23×C32×C52 ⋊ C22 |
| Hall | C32×C52 ⋊ C22×D4 |
| Sylow | C52 ⋊ C2×D4×C3⋊D3 |
| Sylow | C32 ⋊ C2×#87886 |
3636 conjugacy classes of subgroups.
| transitive degree | μt(G) = 360 |
612 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×C3⋊D3×#87886 |
| maximal normal subgroup of | C2×C3⋊D3×#87886 |
Past the SmallGroups library coverage — no SmallGroups id.