Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D1808 |
| Fitting | C2×C16×C113 ⋊ C2 |
| Sylow | C113 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
1814 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28388751, #28388753, #28388763, … |
| maximal normal subgroup of | #28388751, #28388753, #28388763, … |
| maximal quotient of | C2×#20298400, C2×#20298424, C4×D1808, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 970);