Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
616 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 616 conjugacy classes of subgroups — too many to draw. Only its 181 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×#14519751 | C2 | semidirect |
| 3. #16839998 | C2 | direct (N × H) |
| 4. C2×#14519711 | C2 | semidirect |
| 5. C2×#14519699 | C2 | semidirect |
| 6. C23×C8×C61 | C2 | semidirect |
| 10. C2×D488 | C22 | semidirect |
| 12. #14519751 | C22 | semidirect |
| 15. #14519711 | C22 | semidirect |
| 16. #14519699 | C22 | semidirect |
| 21. C22×C8×C61 | C22 | semidirect |
| 39. C2×C8×C61 | D4 | semidirect |
| 48. C23×C61 | D8 | semidirect |
| 71. C8×C61 | C2×D4 | semidirect |
| 77. C22×C61 | C2×D8 | semidirect |
| 91. C2×C61 | #466 | semidirect |
| 97. C23×C8 | D61 | semidirect |
| 102. C61 | C2×#466 | semidirect |
| 111. C22×C8 | C2×D61 | semidirect |
| 136. C2×C8 | C22⋊D61 | semidirect |
| 148. C23 | D488 | semidirect |
| 167. C8 | C2×C22⋊D61 | semidirect |
| 177. C22 | C2×D488 | semidirect |
| 187. C2 | #16839998 | direct (N × H) |