Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
616 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 616 conjugacy classes of subgroups — too many to draw. Only its 165 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×C8×D61 | C2 | semidirect |
| 2. C2×#14519748 | C2 | semidirect |
| 3. #16839995 | C2 | direct (N × H) |
| 4. C2×#14519711 | C2 | semidirect |
| 5. C2×#14519698 | C2 | semidirect |
| 6. C22×D8×C61 | C2 | semidirect |
| 11. C2×C8×D61 | C22 | semidirect |
| 13. #14519748 | C22 | semidirect |
| 16. #14519711 | C22 | semidirect |
| 17. #14519698 | C22 | semidirect |
| 20. C2×D8×C61 | C22 | semidirect |
| 38. C2×C8×C61 | D4 | semidirect |
| 53. C22×D61 | D8 | semidirect |
| 70. C8×C61 | C2×D4 | semidirect |
| 83. C2×D61 | C2×D8 | semidirect |
| 91. C2×C61 | #466 | semidirect |
| 96. C22×D8 | D61 | semidirect |
| 102. C61 | C2×#466 | semidirect |
| 107. C2×D8 | C2×D61 | semidirect |
| 137. C2×C8 | C22⋊D61 | semidirect |
| 167. C8 | C2×C22⋊D61 | semidirect |
| 187. C2 | #16839995 | direct (N × H) |