Finite Group DatabasebetaFinite Group Databasebeta| order | 22308 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C11 · Schur multiplier (H2) = C1 |
| direct product | C11×#14523128 |
| derived, Sylow | C132 ⋊ C3×C4×C11 |
| Hall | C11×#10621725 ⋊ C3 |
| Hall | C11×#92788 ⋊ C4 |
| Hall | C11×C132 ⋊ C3×C4 |
| Hall | #10621725 ⋊ C3×C11 |
| Hall | #92788 ⋊ C4×C11 |
192 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7436 |
748 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22308, 43);