Finite Group DatabasebetaFinite Group Databasebeta| order | 3600 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C5 · Schur multiplier (H2) = C23 |
| direct product | C3×C5×D4×D15 |
| Fitting | C32×C52×D4 ⋊ C2 |
| Hall | C32×C52 ⋊ C2×D4 |
| Sylow | C52 ⋊ C3×D3×D4 |
| Sylow | C32 ⋊ C5×D4×D5 |
560 conjugacy classes of subgroups.
| transitive degree | μt(G) = 120 |
675 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×D4×D15⋊D5 |
| maximal normal subgroup of | C3×D4×D15⋊D5 |
Past the SmallGroups library coverage — no SmallGroups id.