Finite Group DatabasebetaFinite Group Databasebeta| order | 22144 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×C4×C8×D173 |
| Fitting | C2×C4×C8×C173 ⋊ C2 |
| derived, Sylow | C173 ⋊ C22×C4×C8 |
760 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11072 |
5632 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22144, 12909);