Finite Group DatabasebetaFinite Group Databasebeta| order | 19266 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C169 · Schur multiplier (H2) = C1 |
| direct product | C3×D19×C169 |
| Fitting, Hall | C3×C19×C169 ⋊ C2 |
| derived, Sylow | C19 ⋊ C2×C3×C169 |
| Hall | C19×C169 ⋊ C2×C3 |
| Hall | C3×C19 ⋊ C2×C169 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9633 |
5577 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×D19×D169, D3×D19×C169, D19×D507, … |
| maximal normal subgroup of | C3×D19×D169, D3×D19×C169, D19×D507, … |
| maximal quotient of | C3×Dic19×C169, C2×C3×D19×C169 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19266, 18);