Finite Group DatabasebetaFinite Group Databasebeta| order | 14400 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C3 |
| direct product | C2×C4⋊(C3⋊D3)×#1043 |
| Fitting | C2×C32×C4×C52 ⋊ C2×C4 |
| Hall | C32×C52 ⋊ C2×C4×D4 |
| Sylow | C52 ⋊ C2×C4×C4⋊(C3⋊D3) |
| Sylow | C32 ⋊ C2×D4×#1043 |
10224 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1800 |
420 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×D4×C3⋊D3×#1043 |
| maximal normal subgroup of | C2×D4×C3⋊D3×#1043 |
Past the SmallGroups library coverage — no SmallGroups id.