Finite Group DatabasebetaFinite Group Databasebeta| order | 22144 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C23 |
| direct product | C2×D173⋊C32 |
| unambiguous semidirect product | D173⋊(C2×C32) |
| derived, Sylow | C173 ⋊ C22×C32 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11072 |
1504 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22144, 20929);