Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | #468×D43 |
| Fitting | C43×#468 ⋊ C2 |
| Sylow | C43 ⋊ C2×#468 |
544 conjugacy classes of subgroups.
368 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#468×D43, D43×#3054, D43×#3055, … |
| maximal normal subgroup of | C2×#468×D43, D43×#3054, D43×#3055, … |
| maximal quotient of | D43×#1685, D43×#1691, D43×#1697, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 14094);