Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
230 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 57 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×#14519720 | C2 | semidirect |
| 2. C2×#14519718 | C2 | semidirect |
| 3. #16839998 | C2 | semidirect |
| 4. #16839566 | C2 | semidirect |
| 5. #16839563 | C2 | semidirect |
| 6. C22⋊#11758185 | C2 | semidirect |
| 7. C2×#135×C61 | C2 | semidirect |
| 33. Q16×C61 | D4 | semidirect |
| 36. D8×C61 | D4 | semidirect |
| 90. C2×#135 | D61 | semidirect |
| 97. C61 | #2186 | semidirect |
| 123. Q16 | C22⋊D61 | semidirect |
| 128. D8 | C22⋊D61 | semidirect |