Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×D73⋊#104 |
| unambiguous semidirect product | D73⋊(C2×#104) |
| Fitting | C2×#41×C73 ⋊ C4 |
| Sylow | C73 ⋊ C22×#104 |
856 conjugacy classes of subgroups.
416 conjugacy classes — view the full character table.
| maximal subgroup of | #34008533, #34008534, #34008536, … |
| maximal normal subgroup of | #34008533, #34008534, #34008536, … |
| maximal quotient of | C2×#22625217, C2×#22625220, C2×#22625222, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21134);