Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | #449×D43 |
| Fitting | C43×#449 ⋊ C2 |
| Sylow | C43 ⋊ C2×#449 |
812 conjugacy classes of subgroups.
437 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#449×D43, D43×#3002, D43×#3005, … |
| maximal normal subgroup of | C2×#449×D43, D43×#3002, D43×#3005, … |
| maximal quotient of | D43×#1597, D43×#1609, D43×#1600, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13707);