Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C24 |
| direct product | C2×#17989482 |
| Sylow | C73 ⋊ C2×C22⋊C16 |
272 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 106 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
656 conjugacy classes — view the full character table.
| maximal subgroup of | #34000343, #34000347, #34000547, … |
| maximal normal subgroup of | #34000343, #34000347, #34000547, … |
| maximal quotient of | C2×#22624852, C2×#22624868, #34009897, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20736);