Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D904 |
| Fitting | C4×C8×C113 ⋊ C2 |
| Sylow | C113 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
1820 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28388534, #28388536, #28388540, … |
| maximal normal subgroup of | #28388534, #28388536, #28388540, … |
| maximal quotient of | C8×D904, #28389405, #28389460, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 633);