Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#14582904 |
| Sylow | C43 ⋊ C2×#418 |
1008 conjugacy classes of subgroups; only the 309 normal subgroups are shown.
This group has 1008 conjugacy classes of subgroups — too many to draw. Only its 309 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
884 conjugacy classes — view the full character table.
| maximal subgroup of | #25002081, #25002083, #25002140, … |
| maximal normal subgroup of | #25002081, #25002083, #25002140, … |
| maximal quotient of | C2×#19132986, C2×#19133038, #25063038, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13011);