Finite Group DatabasebetaFinite Group Databasebeta| order | 22144 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×D173⋊#108 |
| unambiguous semidirect product | D173⋊(C2×#108) |
| Sylow | C173 ⋊ C22×#108 |
480 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5536 |
1432 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22144, 21167);