Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#17989458 |
| Fitting | C2×C42×C73 ⋊ C4 |
| Sylow | C73 ⋊ C2×#339 |
488 conjugacy classes of subgroups.
632 conjugacy classes — view the full character table.
| maximal subgroup of | #339×#64408, C4×#17989458, #34008270, … |
| maximal normal subgroup of | #339×#64408, C4×#17989458, #34008270, … |
| maximal quotient of | C2×#22624759, #34002032, #34002039, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20187);