Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
616 conjugacy classes of subgroups; only the 178 normal subgroups are shown.
This group has 616 conjugacy classes of subgroups — too many to draw. Only its 178 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×D4×#6923 | C2 | semidirect |
| 2. D8×#6923 | C2 | direct (N × H) |
| 3. C2×#14519846 | C2 | semidirect |
| 4. C2×#14519839 | C2 | semidirect |
| 5. C2×C8×#6923 | C2 | semidirect |
| 10. D4×#6923 | C22 | semidirect |
| 14. #14519846 | C22 | semidirect |
| 15. #14519839 | C22 | semidirect |
| 16. C8×#6923 | C22 | semidirect |
| 18. C2×D488 | C4 | semidirect |
| 19. C2×#11758199 | C4 | semidirect |
| 20. D8×D61 | C4 | semidirect |
| 23. C2×D8×C61 | C4 | semidirect |
| 30. C2×D4×C61 | C2×C4 | semidirect |
| 34. D4×D61 | C2×C4 | semidirect |
| 36. C2×D244 | C2×C4 | semidirect |
| 46. D8×C61 | C2×C4 | semidirect |
| 47. C2×C8×C61 | C2×C4 | semidirect |
| 48. #11758199 | C2×C4 | semidirect |
| 49. C2×#92418 | C2×C4 | semidirect |
| 50. D488 | C2×C4 | semidirect |
| 51. C8×D61 | C2×C4 | semidirect |
| 64. C2×#6923 | D8 | direct (N × H) |
| 68. D4×C61 | C22×C4 | semidirect |
| 74. D244 | C22×C4 | semidirect |
| 80. C8×C61 | C22×C4 | semidirect |
| 81. #92418 | C22×C4 | semidirect |
| 96. #6923 | C2×D8 | direct (N × H) |
| 103. C2×C61 | C4×D8 | semidirect |
| 106. D61 | C4×D8 | semidirect |
| 115. C61 | C2×C4×D8 | semidirect |
| 122. C2×D8 | #6923 | direct (N × H) |
| 140. C2×D4 | C2×#6923 | semidirect |
| 149. D8 | C2×#6923 | direct (N × H) |
| 156. C2×C8 | C2×#6923 | semidirect |
| 174. D4 | C22×#6923 | semidirect |
| 190. C8 | C22×#6923 | semidirect |
| 215. C2 | D8×#6923 | direct (N × H) |