Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | SD16×C22⋊D43 |
| Fitting | C22×SD16×C43 ⋊ C2 |
| Sylow | C43 ⋊ D4×SD16 |
546 conjugacy classes of subgroups.
623 conjugacy classes — view the full character table.
| maximal subgroup of | D4×SD16×D43, C2×SD16×C22⋊D43, #25971886, … |
| maximal normal subgroup of | D4×SD16×D43, C2×SD16×C22⋊D43, #25971886, … |
| maximal quotient of | #25086060, #25086065, #25086075, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 16200);