Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#16813719 |
| Sylow | C113 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
152 conjugacy classes — view the full character table.
| maximal subgroup of | #28407649, #28407653, #28407654, … |
| maximal normal subgroup of | #28407649, #28407653, #28407654, … |
| maximal quotient of | C2×#20299692, C4×#16813719, C2×#20299695, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 1669);