Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#14268636 |
| Fitting | C22×C8×C113 ⋊ C2 |
| Sylow | C113 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
1820 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28390907, #28390909, #28390928, … |
| maximal normal subgroup of | #28390907, #28390909, #28390928, … |
| maximal quotient of | C22×#16813544, C22×#16813547, C22×#16813554, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 1323);