Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
482 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 482 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×#13063355 | C2 | semidirect |
| 2. D4×Dic86 | C2 | semidirect |
| 3. #14583271 | C2 | semidirect |
| 4. #14583143 | C2 | semidirect |
| 5. #14583109 | C2 | semidirect |
| 6. #14583096 | C2 | semidirect |
| 7. #14583061 | C2 | semidirect |
| 8. #14583037 | C2 | semidirect |
| 9. C4×#10621885 | C2 | semidirect |
| 10. #14582977 | C2 | semidirect |
| 68. #10621885 | D4 | semidirect |
| 125. C4×C43 | #137 | semidirect |
| 148. C43 | #3278 | semidirect |
| 265. C4 | #13063355 | semidirect |