Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#16813544 |
| Fitting | C22×C8×C113 ⋊ C2 |
| Sylow | C113 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
1820 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28390388, C4×#16813544, #28390398, … |
| maximal normal subgroup of | #28390388, C4×#16813544, #28390398, … |
| maximal quotient of | C2×#20298327, #28388974, #28389000, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 537);