Finite Group DatabasebetaFinite Group Databasebeta| order | 4704 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C26 |
| direct product | C2×#72214061 |
| Fitting | C2×C4×C72 ⋊ C22×C3 |
| Hall | C2×#11716106 ⋊ C3 |
| Hall | #3861 ⋊ C22×D4 |
| Sylow | C72 ⋊ C22×C3×D4 |
1106 conjugacy classes of subgroups; only the 202 normal subgroups are shown.
This group has 1106 conjugacy classes of subgroups — too many to draw. Only its 202 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 112 |
104 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72214297, C2×D4×#64423⋊C2 |
| maximal normal subgroup of | C2×#72214297, C2×D4×#64423⋊C2 |
Past the SmallGroups library coverage — no SmallGroups id.