Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊#11744751 |
| Sylow | C113 ⋊ C2×C22⋊C8 |
202 conjugacy classes of subgroups.
1832 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28388416, #28388417, #28388420, … |
| maximal normal subgroup of | #28388416, #28388417, #28388420, … |
| maximal quotient of | C2×#20298322, C2×#20298324, #28388888, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 510);