Finite Group DatabasebetaFinite Group Databasebeta| order | 37164 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C163 · Schur multiplier (H2) = C1 |
| direct product | C163×(C19⋊C3)⋊C4 |
| unambiguous semidirect product | (C19⋊C3)⋊(C4×C163) |
| unambiguous semidirect product | Dic19⋊(C3×C163) |
| derived, Sylow | C19 ⋊ C3×C4×C163 |
| Hall | Dic19×C163 ⋊ C3 |
| Hall | C19⋊C3×C163 ⋊ C4 |
| Hall | C19×C163 ⋊ C3×C4 |
| Hall | Dic19 ⋊ C3×C163 |
| Hall | C19⋊C3 ⋊ C4×C163 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12388 |
2934 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37164, 18);