Finite Group DatabasebetaFinite Group Databasebeta| order | 7328 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#16814676 |
| Sylow | C229 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
476 conjugacy classes — view the full character table.
| maximal subgroup of | #28412351, #28412357, #28412364, … |
| maximal normal subgroup of | #28412351, #28412357, #28412364, … |
| maximal quotient of | C2×#20301043, C4×#16814676, C2×#20301045, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7328, 232);