Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
186 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 49 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×D976 | C2 | semidirect |
| 2. C2×#14519718 | C2 | semidirect |
| 3. #16840137 | C2 | semidirect |
| 4. #16839844 | C2 | semidirect |
| 5. #16839580 | C2 | semidirect |
| 6. #16839562 | C2 | semidirect |
| 7. C61×#357 | C2 | semidirect |
| 38. D488 | D4 | semidirect |
| 74. Dic61 | D16 | semidirect |
| 88. #357 | D61 | semidirect |
| 89. C61 | #2206 | semidirect |