Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | #413×D43 |
| Fitting | C43×#413 ⋊ C2 |
| Sylow | C43 ⋊ C2×#413 |
756 conjugacy classes of subgroups.
506 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#1392, #25011559, D43×#1395, … |
| maximal normal subgroup of | D43×#1392, #25011559, D43×#1395, … |
| maximal quotient of | D43×#1458, D43×#1459, #25062405, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 12981);