Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#16813554 |
| Sylow | C113 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
1820 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28388673, #28388674, #28388679, … |
| maximal normal subgroup of | #28388673, #28388674, #28388679, … |
| maximal quotient of | C2×#20298349, #28389330, #28389345, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 580);