Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
452 conjugacy classes of subgroups; only the 158 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 158 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. #16840842 | C2 | semidirect |
| 2. #16840808 | C2 | semidirect |
| 3. #16840806 | C2 | semidirect |
| 4. D61⋊#108 | C2 | semidirect |
| 5. #16840761 | C2 | semidirect |
| 6. #16840725 | C2 | semidirect |
| 9. #14519865 | C22 | semidirect |
| 14. #14519848 | C22 | semidirect |
| 15. #14519847 | C22 | semidirect |
| 16. #14519842 | C22 | semidirect |
| 17. #14519831 | C22 | semidirect |
| 18. C8×#6923 | C22 | semidirect |
| 20. #14519800 | C4 | semidirect |
| 21. #14519800 | C4 | semidirect |
| 24. C2×#11758201 | C4 | semidirect |
| 25. C2×D488 | C4 | semidirect |
| 27. C2×Q16×C61 | C4 | semidirect |
| 109. C61 | #2957 | semidirect |
| 115. C2×Q16 | #6923 | semidirect |