Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C13 · Schur multiplier (H2) = C2 |
| direct product | C2×C13×C3⋊(D49⋊C3) |
| unambiguous semidirect product | (C2×C3)⋊(C13×D49⋊C3) |
| unambiguous semidirect product | (C2×C49⋊C3)⋊(D3×C13) |
| unambiguous semidirect product | (C2×D147)⋊(C3×C13) |
| Fitting | C2×C3×C13×C49 ⋊ C2×C3 |
| derived | C3×C49 ⋊ C22×C3×C13 |
| Hall | C3×C13×C49⋊C3 ⋊ C22 |
| Hall | C13×C49 ⋊ C2×C3×D3 |
| Hall | C3×C49⋊C3 ⋊ C22×C13 |
| Sylow | C49 ⋊ C2×C3×D3×C13 |
132 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 44 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 3822 |
858 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 199);