Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
392 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 125 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×Dic86 | C2 | semidirect |
| 3. #14583246 | C2 | semidirect |
| 4. #14583244 | C2 | semidirect |
| 5. #14583189 | C2 | semidirect |
| 6. #14583188 | C2 | semidirect |
| 7. #14583099 | C2 | semidirect |
| 8. #14583097 | C2 | semidirect |
| 9. C8×Dic86 | C2 | semidirect |
| 10. #14582984 | C2 | semidirect |
| 11. C4×SD16×C43 | C2 | semidirect |
| 77. Q8×C43 | #41 | semidirect |
| 99. Dic86 | SD16 | semidirect |
| 136. C4×SD16 | D43 | semidirect |
| 137. C43 | #3362 | semidirect |
| 206. Q8 | #10621898 | semidirect |