Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 3. C2×#14519700 | C2 | semidirect |
| 4. #16839524 | C2 | semidirect |
| 11. #14519756 | C4 | semidirect |
| 75. C22×C61 | #103 | semidirect |
| 100. C61 | #1892 | semidirect |
| 170. C22 | #14519700 | semidirect |