Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#14583150 |
| Fitting | C2×#121×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×#469 |
596 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 157 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
620 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#14583150, #25103238, #25103274, … |
| maximal normal subgroup of | C4×#14583150, #25103238, #25103274, … |
| maximal quotient of | C2×#19134072, C2×#19134106, C2×#19134154, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 14104);