Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×C4×#11924037 |
| Sylow | C73 ⋊ C2×C4×M16 |
656 conjugacy classes of subgroups; only the 322 normal subgroups are shown.
This group has 656 conjugacy classes of subgroups — too many to draw. Only its 322 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 | #34001957, #34001959, #34001965, … |
| maximal normal subgroup of | #34001957, #34001959, #34001965, … |
| maximal quotient of | C2×C8×#11924037, C2×#22625140, C2×#22625150, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21065);