Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
520 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 145 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. C22×C8×D61 | C2 | semidirect |
| 3. #16840274 | C2 | semidirect |
| 4. #16840004 | C2 | semidirect |
| 5. #16839999 | C2 | semidirect |
| 6. #16839992 | C2 | semidirect |
| 7. #16839756 | C2 | semidirect |
| 8. C61×#427 | C2 | semidirect |
| 12. C2×Dic244 | C22 | semidirect |
| 13. C2×#11758190 | C22 | semidirect |
| 14. C2×D488 | C22 | semidirect |
| 24. #14519700 | C22 | semidirect |
| 25. #14519697 | C22 | semidirect |
| 28. #107×C61 | C22 | semidirect |
| 29. #106×C61 | C22 | semidirect |
| 44. C2×C8×C61 | D4 | semidirect |
| 94. C2×D61 | #135 | semidirect |
| 113. #427 | D61 | semidirect |
| 115. C61 | #3050 | semidirect |
| 133. #107 | C2×D61 | semidirect |
| 134. #106 | C2×D61 | semidirect |
| 158. C2×C8 | D244 | semidirect |