Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
584 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 173 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×#11758190 | C2 | semidirect |
| 3. C2×C4×Dic122 | C2 | semidirect |
| 4. #16839963 | C2 | direct (N × H) |
| 5. C2×#14519699 | C2 | semidirect |
| 6. C2×C4⋊C8×C61 | C2 | semidirect |
| 12. C2×#11758190 | C22 | semidirect |
| 16. C4×Dic122 | C22 | semidirect |
| 20. #14519699 | C22 | semidirect |
| 23. C4⋊C8×C61 | C22 | semidirect |
| 40. C2×Dic122 | D4 | semidirect |
| 57. C2×C4×C61 | SD16 | semidirect |
| 75. Dic122 | C2×D4 | semidirect |
| 87. C4×C61 | C2×SD16 | semidirect |
| 93. C2×C61 | #460 | semidirect |
| 102. C2×C4⋊C8 | D61 | semidirect |
| 104. C61 | C2×#460 | semidirect |
| 120. C4⋊C8 | C2×D61 | semidirect |
| 167. C2×C4 | #11758190 | semidirect |
| 187. C4 | C2×#11758190 | semidirect |
| 191. C2 | #16839963 | direct (N × H) |