Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#13063353 |
| Fitting | C4×M16×C43 ⋊ C2 |
| Sylow | C43 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
884 conjugacy classes — view the full character table.
| maximal subgroup of | #24991220, #24991222, #24991234, … |
| maximal normal subgroup of | #24991220, #24991222, #24991234, … |
| maximal quotient of | C8×#13063353, #25066184, #25066206, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13322);