Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | #466×D43 |
| Fitting | C43×#466 ⋊ C2 |
| Sylow | C43 ⋊ C2×#466 |
616 conjugacy classes of subgroups.
506 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#1347, #25006832, D43×#1349, … |
| maximal normal subgroup of | D43×#1347, #25006832, D43×#1349, … |
| maximal quotient of | D43×#1667, D43×#1673, D43×#1681, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 14074);