Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×AGL(1,ℤ/8)×D43 |
| Fitting | C2×AGL(1,ℤ/8)×C43 ⋊ C2 |
| Sylow | C43 ⋊ C22×AGL(1,ℤ/8) |
1720 conjugacy classes of subgroups.
506 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#1883, #25098125, D43×#1903, … |
| maximal normal subgroup of | D43×#1883, #25098125, D43×#1903, … |
| maximal quotient of | C2×#418×D43, C2×#417×D43, C2×#428×D43, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 19240);