Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #137×Dic43 |
| Sylow | C43 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
506 conjugacy classes — view the full character table.
| maximal subgroup of | #455×Dic43, #25102485, #456×Dic43, … |
| maximal normal subgroup of | #455×Dic43, #25102485, #456×Dic43, … |
| maximal quotient of | #137×C43⋊C8, #25066193, #25066216, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13331);