Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
362 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 80 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×#14519846 | C2 | semidirect |
| 4. #16840713 | C2 | semidirect |
| 5. #16840635 | C2 | semidirect |
| 6. (C2×#6923)⋊C8 | C2 | semidirect |
| 23. #14519699 | C4 | semidirect |
| 24. #14519698 | C4 | semidirect |
| 25. #14519697 | C4 | semidirect |
| 26. #102×C61 | C4 | semidirect |
| 55. C2×C8×C61 | C2×C4 | semidirect |
| 56. C4⋊C4×C61 | C2×C4 | semidirect |
| 57. C4⋊Dic61 | C2×C4 | semidirect |
| 59. C2×#92418 | C2×C4 | semidirect |
| 85. D4×C61 | C4⋊C4 | semidirect |
| 93. D244 | C4⋊C4 | semidirect |
| 147. C61 | #1862 | semidirect |
| 165. #102 | #6923 | semidirect |
| 190. C2×C8 | C2×#6923 | semidirect |
| 198. C4⋊C4 | C2×#6923 | semidirect |
| 216. D4 | C4⋊#6923 | semidirect |