Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
370 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 83 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. #16840242 | C2 | semidirect |
| 3. C2×#14519703 | C2 | semidirect |
| 4. #16839665 | C2 | semidirect |
| 5. #16839530 | C2 | semidirect |
| 6. #16839521 | C2 | semidirect |
| 7. C61×#418 | C2 | semidirect |
| 10. #14519803 | C4 | semidirect |
| 34. C2×D4×C61 | C2×C4 | semidirect |
| 65. #11758194 | C2×C4 | semidirect |
| 95. D244 | C22⋊C4 | semidirect |
| 100. Dic122 | C22⋊C4 | semidirect |
| 136. #418 | D61 | semidirect |
| 140. C61 | #1883 | semidirect |
| 174. C2×D4 | C4×D61 | semidirect |