Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
492 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 135 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×Q16×D61 | C2 | semidirect |
| 4. #16840021 | C2 | semidirect |
| 5. #16840020 | C2 | semidirect |
| 6. #16840019 | C2 | semidirect |
| 7. #16840018 | C2 | semidirect |
| 8. #16840017 | C2 | semidirect |
| 9. #106×D61 | C2 | semidirect |
| 10. #103×D61 | C2 | semidirect |
| 11. C61×#470 | C2 | semidirect |
| 14. C2×Dic244 | C22 | semidirect |
| 15. C2×#11758202 | C22 | semidirect |
| 31. #14519709 | C22 | semidirect |
| 32. #14519708 | C22 | semidirect |
| 33. #14519702 | C22 | semidirect |
| 34. #14519701 | C22 | semidirect |
| 35. #14519700 | C22 | semidirect |
| 36. C2×Q16×C61 | C22 | semidirect |
| 39. #106×C61 | C22 | semidirect |
| 40. #103×C61 | C22 | semidirect |
| 136. D61 | #470 | direct (N × H) |
| 145. #470 | D61 | direct (N × H) |
| 148. C61 | C2×#470 | semidirect |
| 154. C2×Q16 | C2×D61 | semidirect |
| 173. #106 | C2×D61 | semidirect |
| 177. #103 | C2×D61 | semidirect |