Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C4×C22⋊C4×D43 |
| Fitting | C4×C22⋊C4×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×C4×C22⋊C4 |
1360 conjugacy classes of subgroups.
920 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#1282, #24986267, D43×#1284, … |
| maximal normal subgroup of | D43×#1282, #24986267, D43×#1284, … |
| maximal quotient of | C4×#95×D43, C4×#14582746, C4×C22⋊C4×Dic43, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 6838);