Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #367×D43 |
| Fitting | C43×#367 ⋊ C2 |
| Sylow | C43 ⋊ C2×#367 |
168 conjugacy classes of subgroups.
506 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#1418, D43×#1426, C2×#367×D43, … |
| maximal normal subgroup of | D43×#1418, D43×#1426, C2×#367×D43, … |
| maximal quotient of | D43×#1372, #25008240, #25008280, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 6288);