Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#14583160 |
| Sylow | C43 ⋊ C2×#471 |
468 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
494 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#14583160, #25103467, #25103517, … |
| maximal normal subgroup of | C4×#14583160, #25103467, #25103517, … |
| maximal quotient of | C2×#19133934, C2×#19133972, C2×#19134030, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 14207);