Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C8 · Schur multiplier (H2) = C210 |
| direct product | C24×#10596842 |
| Fitting, socle | C24×C73 ⋊ C8 |
| derived, Sylow | C73 ⋊ C24×C8 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C24 | #10596842 |
| commutator, hypocenter | C73 | C24×C8 |
| Frattini | C1 | G |
| Fitting, socle | C24×C73 | C8 |
| LCS | G ▷ C73 | |
| UCS | C1 ◁ C24 | |
1976 conjugacy classes of subgroups.
272 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21766);