Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
484 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 181 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. #14583380 | C2 | semidirect |
| 3. #14583010 | C2 | semidirect |
| 4. #14583005 | C2 | semidirect |
| 5. #14582986 | C2 | semidirect |
| 6. #14582898 | C2 | semidirect |
| 7. #14582854 | C2 | semidirect |
| 8. C2×#106×C43 | C2 | semidirect |
| 10. #13063347 | C4 | semidirect |
| 33. #10621898 | C2×C4 | semidirect |
| 38. C2×C8×C43 | C2×C4 | semidirect |
| 51. Dic172 | C2×C4 | semidirect |
| 52. D344 | C2×C4 | semidirect |
| 53. #10621873 | C2×C4 | semidirect |
| 96. C2×#106 | D43 | semidirect |
| 99. C43 | #2952 | semidirect |
| 134. C2×C8 | C4×D43 | semidirect |