Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
360 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 2. #16839786 | C2 | semidirect |
| 3. C2×#14519705 | C2 | semidirect |
| 4. C43×C61 | C2 | semidirect |
| 7. #14519777 | C4 | semidirect |
| 8. #14519774 | C4 | semidirect |
| 9. #14519765 | C4 | semidirect |
| 32. C42×C61 | D4 | semidirect |
| 63. C4×C61 | #104 | semidirect |
| 76. C43 | D61 | semidirect |
| 77. C61 | #1962 | semidirect |
| 109. C42 | D244 | semidirect |
| 137. C4 | #14519705 | semidirect |