Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#13063354 |
| Fitting | C4×SD16×C43 ⋊ C2 |
| Sylow | C43 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
632 conjugacy classes — view the full character table.
| maximal subgroup of | C8×#13063354, #25066025, #25066039, … |
| maximal normal subgroup of | C8×#13063354, #25066025, #25066039, … |
| maximal quotient of | C8×#13063354, #25066186, #25066208, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13324);