Finite Group DatabasebetaFinite Group Databasebeta| order | 4704 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×C4×#64424 |
| Fitting | C22×C4×C72 ⋊ C2×C3 |
| derived, Sylow | C72 ⋊ C23×C3×C4 |
| Hall | C22×C4×C7⋊D7 ⋊ C3 |
| Hall | #3861 ⋊ C23×C4 |
2360 conjugacy classes of subgroups; only the 479 normal subgroups are shown.
This group has 2360 conjugacy classes of subgroups — too many to draw. Only its 479 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 784 |
224 conjugacy classes — view the full character table.
Past the SmallGroups library coverage — no SmallGroups id.