Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
608 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 608 conjugacy classes of subgroups — too many to draw. Only its 197 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. C2×D4×Dic61 | C2 | semidirect |
| 3. C2×#14519739 | C2 | semidirect |
| 4. #16839871 | C2 | direct (N × H) |
| 5. C2×#14519708 | C2 | semidirect |
| 6. C2×#14519699 | C2 | semidirect |
| 7. C2×#14519687 | C2 | semidirect |
| 8. C2×#102×C61 | C2 | semidirect |
| 12. C2×#11758199 | C4 | semidirect |
| 16. D4×Dic61 | C22 | semidirect |
| 18. #14519739 | C22 | semidirect |
| 23. #14519708 | C22 | semidirect |
| 24. #14519699 | C22 | semidirect |
| 25. #14519687 | C22 | semidirect |
| 29. #102×C61 | C22 | semidirect |
| 34. C2×D4×C61 | C2×C4 | semidirect |
| 45. C2×D244 | C2×C4 | semidirect |
| 54. #11758199 | C2×C4 | semidirect |
| 60. C2×#92418 | C2×C4 | semidirect |
| 73. D4×C61 | C22×C4 | semidirect |
| 89. D244 | C22×C4 | semidirect |
| 92. #92418 | C22×C4 | semidirect |
| 114. C2×C61 | #442 | semidirect |
| 125. C2×#102 | D61 | semidirect |
| 127. C61 | C2×#442 | semidirect |
| 147. #102 | C2×D61 | semidirect |
| 157. C2×D4 | C4×D61 | semidirect |
| 195. D4 | C2×C4×D61 | semidirect |
| 233. C2 | #16839871 | direct (N × H) |