Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
300 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 83 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. C2×#14519712 | C2 | semidirect |
| 3. C2×#14519704 | C2 | semidirect |
| 4. C2×#14519703 | C2 | semidirect |
| 5. #16839728 | C2 | semidirect |
| 6. C2×C8×Dic61 | C2 | semidirect |
| 7. C61×#408 | C2 | semidirect |
| 11. C2×#11758202 | C4 | semidirect |
| 12. C2×#11758200 | C4 | semidirect |
| 13. C2×#11758201 | C4 | semidirect |
| 14. C2×#11758199 | C4 | semidirect |
| 125. #408 | D61 | semidirect |
| 127. C61 | #1974 | semidirect |