Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
396 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 106 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 |
|---|---|---|
| 3. C2×C8×#6923 | C2 | semidirect |
| 4. C4⋊C4×#6923 | C2 | semidirect |
| 5. #16840636 | C2 | semidirect |
| 6. #16840635 | C2 | semidirect |
| 11. D4×#6923 | C4 | semidirect |
| 17. #14519839 | C4 | semidirect |
| 23. #14519699 | C4 | semidirect |
| 24. #14519698 | C4 | semidirect |
| 25. #14519697 | C4 | semidirect |
| 26. #102×C61 | C4 | semidirect |
| 49. C4⋊#6923 | C2×C4 | semidirect |
| 54. D61⋊C8 | C2×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 | C42 | semidirect |
| 93. D244 | C42 | semidirect |
| 123. #6923 | #102 | direct (N × H) |
| 147. C61 | C4×#102 | semidirect |
| 164. #102 | #6923 | direct (N × H) |
| 190. C2×C8 | C2×#6923 | semidirect |
| 197. C4⋊C4 | C2×#6923 | semidirect |
| 216. D4 | C4×#6923 | semidirect |