Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#17989598 |
| unambiguous semidirect product | D73⋊#428 |
| Fitting | C2×M16×C73 ⋊ C4 |
| Sylow | C73 ⋊ C2×#428 |
536 conjugacy classes of subgroups.
404 conjugacy classes — view the full character table.
| maximal subgroup of | #34008880, #34008881, #34008889, … |
| maximal normal subgroup of | #34008880, #34008881, #34008889, … |
| maximal quotient of | C2×#22625482, #34017976, C2×#22625483, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21162);