Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
438 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 103 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. C2×C4×D244 | C2 | semidirect |
| 3. C2×#14519698 | C2 | semidirect |
| 4. C2×#14519697 | C2 | semidirect |
| 5. #16839524 | C2 | semidirect |
| 6. #16839517 | C2 | semidirect |
| 7. C61×#390 | C2 | semidirect |
| 12. C2×#11758199 | C4 | semidirect |
| 33. C2×D4×C61 | C2×C4 | semidirect |
| 63. C2×#92418 | C2×C4 | semidirect |
| 91. C2×C4×C61 | D8 | semidirect |
| 104. D244 | C22⋊C4 | semidirect |
| 151. #390 | D61 | semidirect |
| 154. C61 | #1879 | semidirect |
| 186. C2×D4 | C4×D61 | semidirect |
| 246. C2×C4 | #11758199 | semidirect |