Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C4×D8×D43 |
| Fitting | C4×D8×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×C4×D8 |
616 conjugacy classes of subgroups.
644 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#1331, #25006344, D43×#1333, … |
| maximal normal subgroup of | D43×#1331, #25006344, D43×#1333, … |
| maximal quotient of | C8×D8×D43, D43×#1581, D43×#1589, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13257);