Finite Group DatabasebetaFinite Group Databasebeta| order | 2400 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C5 · Schur multiplier (H2) = C25 |
| direct product | C5×#92027 |
| Fitting | C3×C52×D4 ⋊ C22 |
| Hall | C3×C52 ⋊ H(5,𝔽2) |
| Sylow | C52 ⋊ #1009 |
| Sylow | C3 ⋊ C5×#4144 |
772 conjugacy classes of subgroups.
| transitive degree | μt(G) = 120 |
285 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72260195 |
| maximal normal subgroup of | #72260195 |
Past the SmallGroups library coverage — no SmallGroups id.