Finite Group DatabasebetaFinite Group Databasebeta| order | 9438 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3 · Schur multiplier (H2) = C11 |
| direct product | C3×C11⋊D143 |
| unambiguous semidirect product | C11⋊(C3×D143) |
| Fitting, socle, Hall | C3×C112×C13 ⋊ C2 |
| derived, Hall | C112×C13 ⋊ C2×C3 |
| Hall | C3×C112 ⋊ D13 |
| Sylow | C112 ⋊ C3×D13 |
| Hall | C3×C13 ⋊ C11⋊D11 |
| Sylow | C13 ⋊ C3×C11⋊D11 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C3 | C11⋊D143 |
| commutator, hypocenter | C112×C13 | C2×C3 |
| Frattini | C1 | G |
| Fitting, socle | C3×C112×C13 | C2 |
| LCS | G ▷ C112×C13 | |
| UCS | C1 ◁ C3 | |
112 conjugacy classes of subgroups.
2364 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×D13×C11⋊D11, C3×D11×D143, C3×#20262573, … |
| maximal normal subgroup of | C3×D13×C11⋊D11, C3×D11×D143, C3×#20262573, … |
| maximal quotient of | C3×C11⋊Dic143, C2×C3×C11⋊D143, C9×C11⋊D143, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9438, 34);