Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | SD32×#64408 |
| Fitting | SD32×C73 ⋊ C4 |
| Sylow | C73 ⋊ C4×SD32 |
162 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 50 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
242 conjugacy classes — view the full character table.
| maximal subgroup of | C2×SD32×#64408, #508×#64408, #509×#64408, … |
| maximal normal subgroup of | C2×SD32×#64408, #508×#64408, #509×#64408, … |
| maximal quotient of | SD32×#10596833, #34011860, #34011861, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20904);