Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
510 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 95 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×#11758199 | C2 | semidirect |
| 2. C2×#14519773 | C2 | semidirect |
| 3. C2×#14519699 | C2 | semidirect |
| 4. C2×#14519698 | C2 | semidirect |
| 5. #16839665 | C2 | semidirect |
| 6. #16839516 | C2 | semidirect |
| 7. C22×D8×C61 | C2 | semidirect |
| 41. C2×D4×C61 | D4 | semidirect |
| 57. C2×C8×C61 | D4 | semidirect |
| 66. C2×#92418 | D4 | semidirect |
| 102. C2×Dic61 | D8 | semidirect |
| 145. C22×D8 | D61 | semidirect |
| 151. C61 | #2011 | semidirect |
| 194. C2×D4 | C22⋊D61 | semidirect |
| 205. C2×C8 | C22⋊D61 | semidirect |