Finite Group DatabasebetaFinite Group Databasebeta| order | 1824 |
| isoclinism | isoclinic class of (C19⋊C3)⋊Q8 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×(C19⋊C3)⋊Q8 |
| unambiguous semidirect product | (C4×Dic38)⋊C3 |
| Hall | C4×Dic38 ⋊ C3 |
| Hall | C19⋊C3 ⋊ C4×Q8 |
| Sylow | C19 ⋊ C3×C4×Q8 |
140 conjugacy classes of subgroups.
| transitive degree | μt(G) = 608 |
108 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1824, 286);