Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
668 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 668 conjugacy classes of subgroups — too many to draw. Only its 165 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. C22×#11758200 | C2 | semidirect |
| 2. C22×#11758199 | C2 | semidirect |
| 3. C2×#14519765 | C2 | semidirect |
| 4. #16840149 | C2 | direct (N × H) |
| 5. C2×#14519688 | C2 | semidirect |
| 6. C2×#127×C61 | C2 | semidirect |
| 10. C2×#11758200 | C22 | semidirect |
| 12. C2×#11758199 | C22 | semidirect |
| 15. #14519765 | C22 | semidirect |
| 17. #14519688 | C22 | semidirect |
| 21. #127×C61 | C22 | semidirect |
| 45. C2×#92418 | D4 | semidirect |
| 69. #92418 | C2×D4 | semidirect |
| 85. C2×C61 | #496 | semidirect |
| 91. C2×#127 | D61 | semidirect |
| 95. C61 | C2×#496 | semidirect |
| 106. #127 | C2×D61 | semidirect |
| 174. C2 | #16840149 | direct (N × H) |