Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#14583703 |
| Fitting | C2×AGL(1,ℤ/8)×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×#576 |
1512 conjugacy classes of subgroups.
506 conjugacy classes — view the full character table.
| maximal subgroup of | #25112498, #25112525, #25112574, … |
| maximal normal subgroup of | #25112498, #25112525, #25112574, … |
| maximal quotient of | C2×#19143119, C2×#19143120, C2×#19143194, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 19262);