Finite Group DatabasebetaFinite Group Databasebeta| order | 3600 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3 · Schur multiplier (H2) = C23 |
| direct product | C3×#11925646 |
| Fitting | C22×C32×C52 ⋊ C22 |
| Hall | C32×C52 ⋊ C2×D4 |
| Sylow | C52 ⋊ C3×D3×D4 |
| Sylow | C32 ⋊ #87886 |
602 conjugacy classes of subgroups.
| transitive degree | μt(G) = 120 |
333 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×D3×#87886, #72254766 |
| maximal normal subgroup of | C3×D3×#87886 |
| maximal quotient of | #72254766 |
Past the SmallGroups library coverage — no SmallGroups id.