Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q32×Dic43 |
| Sylow | C43 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
506 conjugacy classes — view the full character table.
| maximal subgroup of | #25017173, SD64×Dic43, #25017180, … |
| maximal normal subgroup of | #25017173, SD64×Dic43, #25017180, … |
| maximal quotient of | Q32×C43⋊C8, #25008514, #25008588, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 6369);