Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #106×D113 |
| Fitting | #106×C113 ⋊ C2 |
| Sylow | C113 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
812 conjugacy classes — view the full character table.
| maximal subgroup of | #360×D113, #365×D113, C2×#106×D113, … |
| maximal normal subgroup of | #360×D113, #365×D113, C2×#106×D113, … |
| maximal quotient of | #334×D113, #28389328, #28389343, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 578);