Finite Group DatabasebetaFinite Group Databasebeta| order | 4800 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C25 |
| direct product | C3×#13106298 |
| Fitting | C2×C3×C52×D4 ⋊ C22 |
| Hall | C3×C52 ⋊ C2×AGL(1,ℤ/8) |
| Sylow | C52 ⋊ C2×C3×AGL(1,ℤ/8) |
1664 conjugacy classes of subgroups.
| transitive degree | μt(G) = 120 |
318 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×#72213282, D3×#13106298, #72259593 |
| maximal normal subgroup of | C3×#72213282, D3×#13106298, #72259593 |
Past the SmallGroups library coverage — no SmallGroups id.