Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
216 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 53 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. #16840202 | C2 | semidirect |
| 2. C2×#14519721 | C2 | semidirect |
| 3. #16840037 | C2 | semidirect |
| 4. #16839575 | C2 | semidirect |
| 5. #16839569 | C2 | semidirect |
| 6. #16839546 | C2 | semidirect |
| 9. C2×Dic244 | C22 | semidirect |
| 13. #14519717 | C22 | semidirect |
| 14. C2×#11758185 | C22 | semidirect |
| 15. #14519713 | C22 | semidirect |
| 99. C61 | #2194 | semidirect |