Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
266 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 57 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×D488 | C2 | semidirect |
| 2. C2×#14519718 | C2 | semidirect |
| 3. #16839562 | C2 | semidirect |
| 4. C22⋊#11758185 | C2 | semidirect |
| 5. C61×#466 | C2 | semidirect |
| 11. C2×#11758185 | C22 | semidirect |
| 12. C2×D8×C61 | C22 | semidirect |
| 15. #107×C61 | C22 | semidirect |
| 33. D488 | D4 | semidirect |
| 59. C22×C61 | D16 | semidirect |
| 78. #466 | D61 | semidirect |
| 81. C61 | #2184 | semidirect |
| 86. C2×D8 | C2×D61 | semidirect |
| 91. #107 | C2×D61 | semidirect |
| 139. C22 | #14519718 | semidirect |