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×#13063355 | C2 | semidirect |
| 2. D4×Dic86 | C2 | semidirect |
| 3. #14583278 | C2 | semidirect |
| 4. #14583155 | C2 | semidirect |
| 5. #14583106 | C2 | semidirect |
| 6. #14583104 | C2 | semidirect |
| 7. #14583061 | C2 | semidirect |
| 8. #14583054 | C2 | semidirect |
| 9. C4×#10621883 | C2 | semidirect |
| 10. #14582977 | C2 | semidirect |
| 71. #10621883 | D4 | semidirect |
| 123. C4×C43 | #137 | semidirect |
| 146. C43 | #3276 | semidirect |
| 261. C4 | #13063355 | semidirect |