Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#16813693 |
| Sylow | C113 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
476 conjugacy classes — view the full character table.
| maximal subgroup of | #28405634, #28405635, #28405653, … |
| maximal normal subgroup of | #28405634, #28405635, #28405653, … |
| maximal quotient of | C2×#20299460, C2×#20299461, #28406124, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 1563);