Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
564 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 564 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×#11758190 | C2 | semidirect |
| 2. C2×#14519756 | C2 | semidirect |
| 4. #16839991 | C2 | direct (N × H) |
| 5. C2×#14519709 | C2 | semidirect |
| 6. C2×#14519702 | C2 | semidirect |
| 7. C2×#14519699 | C2 | semidirect |
| 8. C23×C8×C61 | C2 | semidirect |
| 13. C2×#11758190 | C22 | semidirect |
| 15. #14519756 | C22 | semidirect |
| 23. #14519709 | C22 | semidirect |
| 24. #14519702 | C22 | semidirect |
| 25. #14519699 | C22 | semidirect |
| 30. C22×C8×C61 | C22 | semidirect |
| 54. C2×C8×C61 | D4 | semidirect |
| 67. C23×C61 | SD16 | semidirect |
| 97. C8×C61 | C2×D4 | semidirect |
| 103. C22×C61 | C2×SD16 | semidirect |
| 119. C2×C61 | #465 | semidirect |
| 125. C23×C8 | D61 | semidirect |
| 132. C61 | C2×#465 | semidirect |
| 142. C22×C8 | C2×D61 | semidirect |
| 179. C2×C8 | C22⋊D61 | semidirect |
| 195. C23 | #11758190 | semidirect |
| 221. C8 | C2×C22⋊D61 | semidirect |
| 231. C22 | C2×#11758190 | semidirect |
| 243. C2 | #16839991 | direct (N × H) |