Finite Group DatabasebetaFinite Group Databasebeta| order | 22144 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#26012358 |
| Fitting | C2×C42×C173 ⋊ C4 |
| Sylow | C173 ⋊ C2×H(3,ℤ/4) |
404 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5536 |
1420 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22144, 20179);