Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14519810 | C2 | semidirect |
| 2. C2×#14519785 | C2 | semidirect |
| 4. #16840338 | C2 | semidirect |
| 5. #16840021 | C2 | semidirect |
| 6. #16840009 | C2 | semidirect |
| 7. #16840004 | C2 | semidirect |
| 8. #16839992 | C2 | semidirect |
| 9. #16839756 | C2 | semidirect |
| 10. C2×#14519700 | C2 | semidirect |
| 11. C61×#428 | C2 | semidirect |
| 63. M16×C61 | D4 | semidirect |
| 152. #428 | D61 | semidirect |
| 155. C61 | #3063 | semidirect |
| 210. M16 | D244 | semidirect |