Finite Group DatabasebetaFinite Group Databasebeta| order | 2400 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3×C5 · Schur multiplier (H2) = C25 |
| direct product | C3×C5×#4144 |
| Fitting | C2×C3×C52×D4 ⋊ C2 |
| Hall | C3×C52 ⋊ H(5,𝔽2) |
| Sylow | C52 ⋊ C3×H(5,𝔽2) |
772 conjugacy classes of subgroups.
| transitive degree | μt(G) = 120 |
555 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×#13107821 |
| maximal normal subgroup of | C3×#13107821 |
Past the SmallGroups library coverage — no SmallGroups id.