Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
256 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 256 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 |
|---|---|---|
| 2. C2×#14519720 | C2 | semidirect |
| 3. #16839562 | C2 | semidirect |
| 4. C22⋊#11758185 | C2 | semidirect |
| 5. C61×#467 | C2 | semidirect |
| 11. C2×#11758185 | C22 | semidirect |
| 12. C2×Q16×C61 | C22 | semidirect |
| 15. #107×C61 | C22 | semidirect |
| 55. C22×C61 | SD32 | semidirect |
| 74. #467 | D61 | semidirect |
| 77. C61 | #2187 | semidirect |
| 79. C2×Q16 | C2×D61 | semidirect |
| 87. #107 | C2×D61 | semidirect |
| 131. C22 | #14519720 | semidirect |