Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#17989597 |
| unambiguous semidirect product | D73⋊#427 |
| Fitting | C22×C8×C73 ⋊ C4 |
| Sylow | C73 ⋊ C2×#427 |
512 conjugacy classes of subgroups.
632 conjugacy classes — view the full character table.
| maximal subgroup of | #34008771, #34008772, #34008775, … |
| maximal normal subgroup of | #34008771, #34008772, #34008775, … |
| maximal quotient of | C2×#22625478, #34017971, C2×#22625479, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21161);