Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#13063349 |
| Fitting | C4×D8×C43 ⋊ C2 |
| Sylow | C43 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
632 conjugacy classes — view the full character table.
| maximal subgroup of | C8×#13063349, #25066014, #25066028, … |
| maximal normal subgroup of | C8×#13063349, #25066014, #25066028, … |
| maximal quotient of | C8×#13063349, #25066175, #25066197, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13313);