Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#16813546 |
| Sylow | C113 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
1148 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#16813546, #103×Dic113, #28390404, … |
| maximal normal subgroup of | C4×#16813546, #103×Dic113, #28390404, … |
| maximal quotient of | C2×Q8⋊#11744751, #28388977, #28389003, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 540);