Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
230 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 53 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×#14519799 | C2 | semidirect |
| 2. C2×#14519722 | C2 | semidirect |
| 3. C2×D976 | C2 | semidirect |
| 4. #16839998 | C2 | semidirect |
| 5. #16839567 | C2 | semidirect |
| 6. #16839564 | C2 | semidirect |
| 7. C61×C22⋊C16 | C2 | semidirect |
| 39. Dic244 | D4 | semidirect |
| 43. D488 | D4 | semidirect |
| 96. C22⋊C16 | D61 | semidirect |
| 97. C61 | #2186 | semidirect |