Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#17989513 |
| unambiguous semidirect product | D73⋊#366 |
| Fitting | C2×C16×C73 ⋊ C4 |
| Sylow | C73 ⋊ C2×#366 |
168 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 74 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
620 conjugacy classes — view the full character table.
| maximal subgroup of | #34001070, #34001071, #34001088, … |
| maximal normal subgroup of | #34001070, #34001071, #34001088, … |
| maximal quotient of | C2×#22624962, #34011748, C2×#22624963, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20859);