Finite Group DatabasebetaFinite Group Databasebeta| order | 4800 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C52 · Schur multiplier (H2) = C25×C4×C5 |
| direct product | C52×D3×#127 |
| Fitting | C3×C52×#127 ⋊ C2 |
| Hall | C3×C52 ⋊ C2×#127 |
| Sylow | C3 ⋊ C2×C52×#127 |
3984 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1200 |
1050 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D3×#127×C5⋊D5 |
| maximal normal subgroup of | D3×#127×C5⋊D5 |
Past the SmallGroups library coverage — no SmallGroups id.