Finite Group DatabasebetaFinite Group Databasebeta| order | 22144 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q64×D173 |
| Fitting | Q64×C173 ⋊ C2 |
| Sylow | C173 ⋊ C2×Q64 |
104 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11072 |
1672 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22144, 6813);