Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14519808 | C2 | semidirect |
| 3. #16840141 | C2 | semidirect |
| 4. #16840018 | C2 | semidirect |
| 5. #16839972 | C2 | semidirect |
| 6. #16839964 | C2 | semidirect |
| 7. #16839922 | C2 | semidirect |
| 8. #16839918 | C2 | semidirect |
| 9. C4×#11758201 | C2 | semidirect |
| 10. #16839840 | C2 | semidirect |
| 11. D4×Q8×C61 | C2 | semidirect |
| 72. #11758201 | D4 | semidirect |
| 124. C4×C61 | #137 | semidirect |
| 136. D4×Q8 | D61 | semidirect |
| 146. C61 | #3276 | semidirect |
| 261. C4 | #14519808 | semidirect |