Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
608 conjugacy classes of subgroups; only the 170 normal subgroups are shown.
This group has 608 conjugacy classes of subgroups — too many to draw. Only its 170 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. #16840803 | C2 | direct (N × H) |
| 3. C2×#14519845 | C2 | semidirect |
| 4. C2×#14519839 | C2 | semidirect |
| 5. C2×#14519831 | C2 | semidirect |
| 10. D4×#6923 | C22 | semidirect |
| 14. #14519845 | C22 | semidirect |
| 15. #14519839 | C22 | semidirect |
| 16. #14519831 | C22 | semidirect |
| 18. C2×D488 | C4 | semidirect |
| 19. C2×#11758199 | C4 | semidirect |
| 20. D8×D61 | C4 | semidirect |
| 23. C2×D8×C61 | C4 | semidirect |
| 29. C2×D4×C61 | C2×C4 | semidirect |
| 33. D4×D61 | C2×C4 | semidirect |
| 35. C2×D244 | C2×C4 | semidirect |
| 45. D8×C61 | C2×C4 | semidirect |
| 46. C2×C8×C61 | C2×C4 | semidirect |
| 47. #11758199 | C2×C4 | semidirect |
| 48. C2×#92418 | C2×C4 | semidirect |
| 49. D488 | C2×C4 | semidirect |
| 50. C8×D61 | C2×C4 | semidirect |
| 65. D4×C61 | C22×C4 | semidirect |
| 71. D244 | C22×C4 | semidirect |
| 77. C8×C61 | C22×C4 | semidirect |
| 78. #92418 | C22×C4 | semidirect |
| 98. C2×C61 | #442 | semidirect |
| 101. D61 | #442 | semidirect |
| 109. C61 | C2×#442 | semidirect |
| 116. C2×D8 | #6923 | semidirect |
| 134. C2×D4 | C2×#6923 | semidirect |
| 142. D8 | C2×#6923 | semidirect |
| 149. C2×C8 | C2×#6923 | semidirect |
| 167. D4 | C22×#6923 | semidirect |
| 181. C8 | C22×#6923 | semidirect |
| 203. C2 | #16840803 | direct (N × H) |