Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | #108×D113 |
| Fitting | #108×C113 ⋊ C2 |
| Sylow | C113 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
812 conjugacy classes — view the full character table.
| maximal subgroup of | #359×D113, #28392300, #361×D113, … |
| maximal normal subgroup of | #359×D113, #28392300, #361×D113, … |
| maximal quotient of | #334×D113, #335×D113, #28389319, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 593);