Finite Group DatabasebetaFinite Group Databasebeta| order | 19072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#23750635 |
| unambiguous semidirect product | D149⋊#427 |
| Fitting | C22×C8×C149 ⋊ C4 |
| Sylow | C149 ⋊ C2×#427 |
512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4768 |
1240 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19072, 21161);