Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
374 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 123 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #14583619 | C2 | semidirect |
| 2. #14583302 | C2 | semidirect |
| 3. #14583234 | C2 | semidirect |
| 4. #14583220 | C2 | semidirect |
| 5. #14583181 | C2 | semidirect |
| 6. #14583179 | C2 | semidirect |
| 7. #14583143 | C2 | semidirect |
| 8. C4×#10621883 | C2 | semidirect |
| 9. #14582977 | C2 | semidirect |
| 10. #14582939 | C2 | semidirect |
| 99. C43⋊C8 | #41 | semidirect |
| 134. C43 | #3353 | semidirect |