Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2×C7 |
| direct product | C2×D13⋊#89205 |
| unambiguous semidirect product | D13⋊(C2×#89205) |
| unambiguous semidirect product | (C2×D13)⋊#89205 |
| derived, Hall | C72×C13 ⋊ C22×C9 |
| Hall | C13⋊#89205 ⋊ C22 |
| Hall | C2×C72×D13 ⋊ C9 |
| Hall | C2×D13 ⋊ #89205 |
| Sylow | C72 ⋊ C2×D13⋊C9 |
| Sylow | C13 ⋊ C22×#89205 |
160 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 61 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1638 |
816 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 492);