Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#13063358 | C2 | semidirect |
| 3. #14583470 | C2 | semidirect |
| 4. #14583380 | C2 | semidirect |
| 5. #14583120 | C2 | semidirect |
| 6. #14583113 | C2 | semidirect |
| 7. #14583108 | C2 | semidirect |
| 8. #14583103 | C2 | semidirect |
| 9. #14582927 | C2 | semidirect |
| 10. C2×#13063248 | C2 | semidirect |
| 11. C43×#417 | C2 | semidirect |
| 156. #417 | D43 | semidirect |
| 158. C43 | #3046 | semidirect |