Finite Group DatabasebetaFinite Group Databasebeta| order | 4704 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C25 |
| direct product | C2×#72214054 |
| Hall | C2×#11716103 ⋊ C3 |
| Hall | #3861 ⋊ C2×#41 |
| Sylow | C72 ⋊ C2×C3×#41 |
818 conjugacy classes of subgroups; only the 186 normal subgroups are shown.
This group has 818 conjugacy classes of subgroups — too many to draw. Only its 186 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 112 |
110 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72214252, C2×#72214244, C2×#72214277 |
| maximal normal subgroup of | C2×#72214252, C2×#72214244, C2×#72214277 |
Past the SmallGroups library coverage — no SmallGroups id.