Finite Group DatabasebetaFinite Group Databasebeta| order | 4704 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C22×C7 |
| direct product | #99×#3862 |
| Fitting, Hall | C72×#99 ⋊ C3 |
| Sylow | C72 ⋊ C3×#99 |
260 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 60 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 168 |
209 conjugacy classes — view the full character table.
| maximal subgroup of | #99×#64425, B(4,𝔽2)×#3862, #72246205, … |
| maximal normal subgroup of | #99×#64425, B(4,𝔽2)×#3862, #72246205, … |
Past the SmallGroups library coverage — no SmallGroups id.