Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4×C13 · Schur multiplier (H2) = C3 |
| direct product | C3×C13×#10596872 |
| derived, Sylow | C72 ⋊ C32×C4×C13 |
| Hall | C3×C13×#3862 ⋊ C4 |
| Hall | C7×C13×Dic7 ⋊ C32 |
| Hall | C72×C13 ⋊ C32×C4 |
| Hall | C3×#3862 ⋊ C4×C13 |
| Hall | C7×Dic7 ⋊ C32×C13 |
152 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 64 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 3276 |
1326 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 668);