Finite Group DatabasebetaFinite Group Databasebeta| order | 9366 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3 · Schur multiplier (H2) = C1 |
| direct product | D7×C223⋊C3 |
| Fitting, socle, derived, Hall | C7×C223 ⋊ C2×C3 |
| Hall | C7×C223⋊C3 ⋊ C2 |
| Hall | D7×C223 ⋊ C3 |
| Sylow | C223 ⋊ C3×D7 |
| Sylow | C7 ⋊ C2×C223⋊C3 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, hypocenter | C7×C223 | C2×C3 |
| LCS | G ▷ C7×C223 | |
| UCS | C1 | |
16 conjugacy classes of subgroups.
385 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9366, 17);