Finite Group DatabasebetaFinite Group Databasebeta| order | 22144 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C42 |
| direct product | C4×#19149758 |
| Fitting | C2×C42×C173 ⋊ C4 |
| Sylow | C173 ⋊ C4×#117 |
752 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5536 |
1456 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22144, 20942);