Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | #452×D43 |
| Fitting | C43×#452 ⋊ C2 |
| Sylow | C43 ⋊ C2×#452 |
760 conjugacy classes of subgroups.
437 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#452×D43, D43×#3002, D43×#3005, … |
| maximal normal subgroup of | C2×#452×D43, D43×#3002, D43×#3005, … |
| maximal quotient of | D43×#1603, D43×#1615, D43×#1606, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13715);