Finite Group DatabasebetaFinite Group Databasebeta| order | 2400 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C5 · Schur multiplier (H2) = C26 |
| direct product | C2×C5×D3×C22⋊D5 |
| Fitting | C23×C3×C52 ⋊ C22 |
| Hall | C3×C52 ⋊ C22×D4 |
| Sylow | C52 ⋊ C2×D3×D4 |
| Sylow | C3 ⋊ C22×C5×C22⋊D5 |
1212 conjugacy classes of subgroups.
| transitive degree | μt(G) = 120 |
390 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×D3×#87886, C2×C5×C3⋊D3×C22⋊D5 |
| maximal normal subgroup of | C2×D3×#87886 |
| maximal quotient of | C5×D3×#4078, C2×C5×C3⋊D3×C22⋊D5 |
Past the SmallGroups library coverage — no SmallGroups id.