Finite Group DatabasebetaFinite Group Databasebeta| order | 4800 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C3 · Schur multiplier (H2) = C29 |
| direct product | C3×#13107821 |
| Fitting | C2×C3×C52×D4 ⋊ C22 |
| Hall | C3×C52 ⋊ C2×H(5,𝔽2) |
| Sylow | C52 ⋊ C2×C3×H(5,𝔽2) |
4064 conjugacy classes of subgroups.
| transitive degree | μt(G) = 120 |
426 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×#72213412 |
| maximal normal subgroup of | C3×#72213412 |
Past the SmallGroups library coverage — no SmallGroups id.