Finite Group DatabasebetaFinite Group Databasebeta| order | 4800 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C23 |
| direct product | C3×#13100574 |
| Fitting | C3×C42×C52 ⋊ C22 |
| Hall | C3×C52 ⋊ C2×#104 |
| Sylow | C52 ⋊ C2×C3×#104 |
896 conjugacy classes of subgroups.
| transitive degree | μt(G) = 120 |
444 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×#72213321, D3×#13100574, #72260193 |
| maximal normal subgroup of | C3×#72213321, D3×#13100574, #72260193 |
Past the SmallGroups library coverage — no SmallGroups id.