Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
456 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 145 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. #16840312 | C2 | semidirect |
| 2. #16840165 | C2 | semidirect |
| 3. #16840138 | C2 | semidirect |
| 4. #16840110 | C2 | semidirect |
| 5. #16840108 | C2 | semidirect |
| 6. #16839996 | C2 | semidirect |
| 7. C4×#11758199 | C2 | semidirect |
| 8. C2×C4×#92418 | C2 | semidirect |
| 9. C61×#532 | C2 | semidirect |
| 80. C2×C4×C61 | D8 | semidirect |
| 95. #92418 | #41 | semidirect |
| 122. #532 | D61 | semidirect |
| 130. C61 | #3169 | semidirect |
| 208. C2×C4 | #11758199 | semidirect |