Finite Group DatabasebetaFinite Group Databasebeta| order | 14400 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#72231398 |
| Fitting | C23×C32×C52 ⋊ C2×C4 |
| Hall | C32×C52 ⋊ C2×C4×D4 |
| Sylow | C52 ⋊ C2×#67⋊Dic3 |
| Sylow | C32 ⋊ C2×D4×#1043 |
7760 conjugacy classes of subgroups.
| transitive degree | μt(G) = 600 |
420 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#1043×#3811 |
| maximal normal subgroup of | C2×#1043×#3811 |
Past the SmallGroups library coverage — no SmallGroups id.