Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#16813563 |
| Fitting | C2×D8×C113 ⋊ C2 |
| Sylow | C113 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
806 conjugacy classes — view the full character table.
| maximal subgroup of | #28392418, C4×#16813563, #28392447, … |
| maximal normal subgroup of | #28392418, C4×#16813563, #28392447, … |
| maximal quotient of | C2×#20298398, C2×#20298399, C2×#20298423, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 969);