Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
464 conjugacy classes of subgroups; only the 162 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 162 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. C2×#14519865 | C2 | semidirect |
| 2. #16840808 | C2 | direct (N × H) |
| 3. C2×#14519847 | C2 | semidirect |
| 4. C2×#14519842 | C2 | semidirect |
| 5. C2×#14519831 | C2 | semidirect |
| 8. #14519865 | C22 | semidirect |
| 14. #14519847 | C22 | semidirect |
| 15. #14519842 | C22 | semidirect |
| 16. #14519831 | C22 | semidirect |
| 18. #14519800 | C4 | semidirect |
| 20. C2×#11758201 | C4 | semidirect |
| 21. C2×D488 | C4 | semidirect |
| 23. C2×Q16×C61 | C4 | semidirect |
| 44. Q16×C61 | C2×C4 | semidirect |
| 46. #11758201 | C2×C4 | semidirect |
| 48. D488 | C2×C4 | semidirect |
| 87. C2×C61 | #444 | semidirect |
| 98. C61 | C2×#444 | semidirect |
| 102. C2×Q16 | #6923 | semidirect |
| 126. Q16 | C2×#6923 | semidirect |
| 181. C2 | #16840808 | direct (N × H) |