Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
856 conjugacy classes of subgroups; only the 218 normal subgroups are shown.
This group has 856 conjugacy classes of subgroups — too many to draw. Only its 218 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. C22×#11758213 | C2 | semidirect |
| 2. C22×C4×#6923 | C2 | semidirect |
| 3. C2×#14519842 | C2 | direct (N × H) |
| 7. C2×#11758213 | C22 | semidirect |
| 10. C2×C4×#6923 | C22 | semidirect |
| 11. #14519842 | C22 | direct (N × H) |
| 14. C2×#11758226 | C4 | semidirect |
| 17. C22×D244 | C4 | semidirect |
| 20. C22×Q8×C61 | C4 | semidirect |
| 26. C2×Q8×C61 | C2×C4 | semidirect |
| 33. #11758226 | C2×C4 | semidirect |
| 38. C2×D244 | C2×C4 | semidirect |
| 47. C4×#6923 | C23 | semidirect |
| 49. #11758213 | C23 | semidirect |
| 59. Q8×C61 | C22×C4 | semidirect |
| 68. D244 | C22×C4 | semidirect |
| 77. C22×C61 | #104 | semidirect |
| 92. C2×C61 | C2×#104 | semidirect |
| 101. C61 | C22×#104 | semidirect |
| 106. C22×Q8 | #6923 | semidirect |
| 126. C2×Q8 | C2×#6923 | semidirect |
| 154. Q8 | C22×#6923 | semidirect |
| 180. C22 | #14519842 | direct (N × H) |
| 191. C2 | C2×#14519842 | direct (N × H) |