Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
360 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 2. C4×#11758213 | C2 | semidirect |
| 3. C42×#6923 | C2 | semidirect |
| 4. #16840632 | C2 | semidirect |
| 10. #14519842 | C4 | direct (N × H) |
| 14. Q8×Dic61 | C4 | semidirect |
| 16. C4×D244 | C4 | semidirect |
| 18. #14519739 | C4 | semidirect |
| 23. C4×Q8×C61 | C4 | semidirect |
| 40. C4×#6923 | C2×C4 | semidirect |
| 42. #11758213 | C2×C4 | semidirect |
| 63. Q8×C61 | C42 | semidirect |
| 75. D244 | C42 | semidirect |
| 95. C4×C61 | #104 | semidirect |
| 100. Dic61 | #104 | semidirect |
| 113. C61 | C4×#104 | semidirect |
| 117. C4×Q8 | #6923 | semidirect |
| 168. Q8 | C4×#6923 | semidirect |
| 207. C4 | #14519842 | direct (N × H) |