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. C2×#14519864 | C2 | semidirect |
| 3. #16840807 | C2 | direct (N × H) |
| 4. C2×#14519848 | C2 | semidirect |
| 5. C2×#14519842 | C2 | semidirect |
| 6. C2×#14519841 | C2 | semidirect |
| 7. C2×#14519831 | C2 | semidirect |
| 10. #14519865 | C22 | semidirect |
| 12. #14519864 | C22 | semidirect |
| 21. #14519848 | C22 | semidirect |
| 22. #14519842 | C22 | semidirect |
| 23. #14519841 | C22 | semidirect |
| 24. #14519831 | C22 | semidirect |
| 27. #14519798 | C4 | semidirect |
| 29. C2×#11758202 | C4 | semidirect |
| 30. C2×#11758190 | C4 | semidirect |
| 31. C2×#11758199 | C4 | semidirect |
| 33. C2×SD16×C61 | C4 | semidirect |
| 68. SD16×C61 | C2×C4 | semidirect |
| 70. #11758202 | C2×C4 | semidirect |
| 71. #11758199 | C2×C4 | semidirect |
| 73. #11758190 | C2×C4 | semidirect |
| 128. C2×C61 | #444 | semidirect |
| 141. C61 | C2×#444 | semidirect |
| 148. C2×SD16 | #6923 | semidirect |
| 187. SD16 | C2×#6923 | semidirect |
| 263. C2 | #16840807 | direct (N × H) |