Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#16813540 |
| Sylow | C113 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
1142 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28390369, C4×#16813540, #28390496, … |
| maximal normal subgroup of | #28390369, C4×#16813540, #28390496, … |
| maximal quotient of | C2×#20298323, #28388897, #28388903, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 528);