Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
406 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14583570 | C2 | semidirect |
| 3. #14583287 | C2 | semidirect |
| 4. #14583272 | C2 | semidirect |
| 5. #14583113 | C2 | semidirect |
| 6. #14583104 | C2 | semidirect |
| 7. #14583098 | C2 | semidirect |
| 8. #14583094 | C2 | semidirect |
| 9. #14583029 | C2 | semidirect |
| 10. #14582998 | C2 | semidirect |
| 11. C4×D8×C43 | C2 | semidirect |
| 105. C8×C43 | #41 | semidirect |
| 143. C4×D8 | D43 | semidirect |
| 144. C43 | #3397 | semidirect |
| 239. C8 | #10621898 | semidirect |