Finite Group DatabasebetaFinite Group Databasebeta| order | 22144 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#26012560 |
| unambiguous semidirect product | D173⋊#520 |
| Fitting | C2×#41×C173 ⋊ C4 |
| Sylow | C173 ⋊ C2×#520 |
1640 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2768 |
928 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22144, 21489);