Finite Group DatabasebetaFinite Group Databasebeta| order | 22144 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C8×#14583826 |
| Fitting | C2×C4×C8×C173 ⋊ C2 |
| Sylow | C173 ⋊ C8×#41 |
456 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11072 |
5584 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22144, 13467);