Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#14583698 |
| Fitting | C2×#137×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×#575 |
1484 conjugacy classes of subgroups.
506 conjugacy classes — view the full character table.
| maximal subgroup of | #25098099, #25098108, #25098466, … |
| maximal normal subgroup of | #25098099, #25098108, #25098466, … |
| maximal quotient of | C2×#19143111, C2×#19143113, C2×#19143182, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 19256);