Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
228 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 85 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. C22×#11758185 | C2 | semidirect |
| 3. #16839565 | C2 | semidirect |
| 4. #16839562 | C2 | semidirect |
| 5. C61×#427 | C2 | semidirect |
| 8. #14519799 | C4 | semidirect |
| 72. #427 | D61 | semidirect |
| 75. C61 | #2138 | semidirect |