Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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. #14583431 | C2 | semidirect |
| 2. #14583300 | C2 | semidirect |
| 3. #14583282 | C2 | semidirect |
| 4. #14583252 | C2 | semidirect |
| 5. #14583141 | C2 | semidirect |
| 7. #14583127 | C2 | semidirect |
| 8. C4×Dic172 | C2 | semidirect |
| 9. C4×#10621883 | C2 | semidirect |
| 10. C4×C8×D43 | C2 | semidirect |
| 11. C4×D8×C43 | C2 | semidirect |
| 128. C4×D8 | D43 | semidirect |
| 130. C43 | #3168 | semidirect |