Finite Group DatabasebetaFinite Group Databasebeta| order | 22144 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×(C2×#10621924)⋊C8 |
| Fitting | C22×C8×C173 ⋊ C4 |
| Sylow | C173 ⋊ C2×#336 |
528 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, 20169);