Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#14268637 |
| Sylow | C113 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
1148 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28389378, C8×#14268637, #28389390, … |
| maximal normal subgroup of | #28389378, C8×#14268637, #28389390, … |
| maximal quotient of | C8×#14268637, #28389422, #28389424, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 642);