Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#13063344 |
| Fitting | C4×D8×C43 ⋊ C2 |
| Sylow | C43 ⋊ C4×#135 |
500 conjugacy classes of subgroups.
644 conjugacy classes — view the full character table.
| maximal subgroup of | #25006334, #25006339, #25006360, … |
| maximal normal subgroup of | #25006334, #25006339, #25006360, … |
| maximal quotient of | C8×#13063344, #25066121, #25066341, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13277);