Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | AGL(1,ℤ/8)×Dic43 |
| Sylow | C43 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
506 conjugacy classes — view the full character table.
| maximal subgroup of | #453×Dic43, #25102474, #454×Dic43, … |
| maximal normal subgroup of | #453×Dic43, #25102474, #454×Dic43, … |
| maximal quotient of | AGL(1,ℤ/8)×C43⋊C8, #25066182, #25066205, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13320);