Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#16813565 |
| Fitting | C2×Q16×C113 ⋊ C2 |
| Sylow | C113 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
806 conjugacy classes — view the full character table.
| maximal subgroup of | #28392423, C4×#16813565, #28392436, … |
| maximal normal subgroup of | #28392423, C4×#16813565, #28392436, … |
| maximal quotient of | C2×#20298398, C2×#20298402, C2×#20298425, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 972);