Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #101×D113 |
| Fitting | #101×C113 ⋊ C2 |
| Sylow | C113 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
638 conjugacy classes — view the full character table.
| maximal subgroup of | #355×D113, #356×D113, #28392260, … |
| maximal normal subgroup of | #355×D113, #356×D113, #28392260, … |
| maximal quotient of | #324×D113, #28388896, #28388902, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 527);