Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#14268634 |
| Fitting | C22×Q8×C113 ⋊ C2 |
| Sylow | C113 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
1148 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28390905, #28390911, #28390927, … |
| maximal normal subgroup of | #28390905, #28390911, #28390927, … |
| maximal quotient of | C22×#16813542, C22×#16813546, C22×#16813553, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 1321);