Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
402 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 3. C2×#14519702 | C2 | semidirect |
| 5. #16839668 | C2 | semidirect |
| 6. #16839525 | C2 | semidirect |
| 7. C61×#336 | C2 | semidirect |
| 13. C2×#11758190 | C4 | semidirect |
| 47. C2×Dic122 | C2×C4 | semidirect |
| 53. C2×C8×C61 | C2×C4 | semidirect |
| 75. C2×C4×C61 | SD16 | semidirect |
| 140. #336 | D61 | semidirect |
| 141. C61 | #1877 | semidirect |
| 188. C2×C8 | C4×D61 | semidirect |
| 227. C2×C4 | #11758190 | semidirect |