Finite Group DatabasebetaFinite Group Databasebeta| order | 19026 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7×C9 · Schur multiplier (H2) = C1 |
| direct product | C7×C9×D151 |
| Fitting, Hall | C7×C9×C151 ⋊ C2 |
| derived, Sylow | C151 ⋊ C2×C7×C9 |
| Hall | C9×C151 ⋊ C2×C7 |
| Hall | C7×C151 ⋊ C2×C9 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9513 |
4851 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C9×D7×D151, C7×D9×D151, D63×D151, … |
| maximal normal subgroup of | C9×D7×D151, C7×D9×D151, D63×D151, … |
| maximal quotient of | C7×C9×Dic151, C2×C7×C9×D151 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19026, 6);