Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#16813567 |
| Fitting | C2×C16×C113 ⋊ C2 |
| Sylow | C113 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
1814 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28392425, C4×#16813567, #28392437, … |
| maximal normal subgroup of | #28392425, C4×#16813567, #28392437, … |
| maximal quotient of | C2×#20298400, C2×#20298403, C2×#20298426, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 974);