Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
400 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 400 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×#14519799 | C2 | semidirect |
| 2. #16840198 | C2 | direct (N × H) |
| 3. C2×#14519721 | C2 | semidirect |
| 4. C2×#14519718 | C2 | semidirect |
| 5. C2×#14519717 | C2 | semidirect |
| 6. C22×D8×C61 | C2 | semidirect |
| 9. #14519799 | C22 | semidirect |
| 10. C2×Dic244 | C22 | semidirect |
| 12. C2×D488 | C22 | semidirect |
| 13. #14519721 | C22 | semidirect |
| 14. #14519718 | C22 | semidirect |
| 15. #14519717 | C22 | semidirect |
| 16. C2×#11758185 | C22 | semidirect |
| 21. C2×D8×C61 | C22 | semidirect |
| 43. Dic244 | C23 | semidirect |
| 45. D488 | C23 | semidirect |
| 47. #11758185 | C23 | semidirect |
| 85. C2×C61 | #509 | semidirect |
| 89. C22×D8 | D61 | semidirect |
| 94. C61 | C2×#509 | semidirect |
| 105. C2×D8 | C2×D61 | semidirect |
| 173. C2 | #16840198 | direct (N × H) |