Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#14583092 |
| Fitting | C22×D8×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×#459 |
648 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 648 conjugacy classes of subgroups — too many to draw. Only its 165 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
626 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#14583092, #25102770, #25102843, … |
| maximal normal subgroup of | C4×#14583092, #25102770, #25102843, … |
| maximal quotient of | C2×#19133934, C2×#19133938, C2×#19133948, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13920);