Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
390 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 85 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×M16×D61 | C2 | semidirect |
| 3. C2×#14519693 | C2 | semidirect |
| 4. C2×#14519693 | C2 | semidirect |
| 5. #16839725 | C2 | semidirect |
| 6. #16839531 | C2 | semidirect |
| 7. C61×#343 | C2 | semidirect |
| 54. M16×C61 | D4 | semidirect |
| 64. #11758194 | D4 | semidirect |
| 128. C2×D61 | #100 | semidirect |
| 151. #343 | D61 | semidirect |
| 152. C61 | #1900 | semidirect |
| 204. M16 | D244 | semidirect |