Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
382 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 382 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 |
|---|---|---|
| 2. #14583265 | C2 | semidirect |
| 3. #14583247 | C2 | semidirect |
| 4. #14583196 | C2 | semidirect |
| 5. #14583176 | C2 | semidirect |
| 6. #14583099 | C2 | semidirect |
| 7. #14583099 | C2 | semidirect |
| 8. #14583030 | C2 | semidirect |
| 9. #14582997 | C2 | semidirect |
| 10. C4×#10621884 | C2 | semidirect |
| 11. C43×#557 | C2 | semidirect |
| 79. Q8×C43 | #41 | semidirect |
| 125. #557 | D43 | semidirect |
| 136. C43 | #3368 | semidirect |
| 204. Q8 | #10621902 | semidirect |