Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×C4×C22⋊#64408 |
| Fitting | C23×C4×C73 ⋊ C4 |
| Sylow | C73 ⋊ C2×C4×C22⋊C4 |
1360 conjugacy classes of subgroups.
656 conjugacy classes — view the full character table.
| maximal subgroup of | #34002211, #34002223, C2×#22624772, … |
| maximal normal subgroup of | #34002211, #34002223, C2×#22624772, … |
| maximal quotient of | C2×C4×(C2×#64408)⋊C4, C42×C22⋊#64408, C2×#22625105, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20938);