Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
484 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 484 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×#14519783 | C2 | semidirect |
| 2. #16840340 | C2 | semidirect |
| 3. #16840017 | C2 | semidirect |
| 4. #16840012 | C2 | semidirect |
| 5. #16839988 | C2 | semidirect |
| 6. C2×#14519709 | C2 | semidirect |
| 7. #16839763 | C2 | semidirect |
| 8. C2×#135×C61 | C2 | semidirect |
| 48. C2×C8×C61 | D4 | semidirect |
| 106. C2×#135 | D61 | semidirect |
| 114. C61 | #3060 | semidirect |
| 158. C2×C8 | C22⋊D61 | semidirect |