Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
384 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 384 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. Q8×D172 | C2 | semidirect |
| 2. #14583258 | C2 | semidirect |
| 3. #14583245 | C2 | semidirect |
| 4. #14583189 | C2 | semidirect |
| 5. #14583184 | C2 | semidirect |
| 6. #14583111 | C2 | semidirect |
| 8. #14583030 | C2 | semidirect |
| 9. #14583009 | C2 | semidirect |
| 10. C4×#10621884 | C2 | semidirect |
| 11. C43×#559 | C2 | semidirect |
| 125. #559 | D43 | semidirect |
| 136. C43 | #3373 | semidirect |