Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D16×Dic73 |
| Sylow | C73 ⋊ C4×D16 |
174 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 67 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
836 conjugacy classes — view the full character table.
| maximal subgroup of | #33006555, D32×Dic73, SD64×Dic73, … |
| maximal normal subgroup of | #33006555, D32×Dic73, SD64×Dic73, … |
| maximal quotient of | D16×#10596831, #32997880, #32997963, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 6357);