Finite Group DatabasebetaFinite Group Databasebeta| order | 19044 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2×C23 |
| direct product | C2×(C23⋊D23)⋊C9 |
| unambiguous semidirect product | (C2×C23⋊D23)⋊C9 |
| derived, Sylow | C232 ⋊ C22×C9 |
| Hall | C232⋊C9 ⋊ C22 |
| Hall | C2×C23⋊D23 ⋊ C9 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 414 |
564 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19044, 45);