Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D4×#11924018 |
| Sylow | C73 ⋊ D4×Q16 |
472 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 149 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
935 conjugacy classes — view the full character table.
| maximal subgroup of | #33075414, #33075417, #33075422, … |
| maximal normal subgroup of | #33075414, #33075417, #33075422, … |
| maximal quotient of | #33076165, #33076171, #33076180, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 16258);