Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | #467×D43 |
| Fitting | C43×#467 ⋊ C2 |
| Sylow | C43 ⋊ C2×#467 |
512 conjugacy classes of subgroups.
506 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#1348, #25006836, D43×#1350, … |
| maximal normal subgroup of | D43×#1348, #25006836, D43×#1350, … |
| maximal quotient of | D43×#1669, D43×#1675, D43×#1683, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 14080);