Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#17989578 |
| unambiguous semidirect product | D73⋊#417 |
| Fitting | C2×#41×C73 ⋊ C4 |
| Sylow | C73 ⋊ C2×#417 |
816 conjugacy classes of subgroups.
404 conjugacy classes — view the full character table.
| maximal subgroup of | #34008517, #34008518, #34008537, … |
| maximal normal subgroup of | #34008517, #34008518, #34008537, … |
| maximal quotient of | C2×#22625226, #34016364, C2×#22625227, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21129);