Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
338 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 338 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 |
|---|---|---|
| 2. #16840161 | C2 | semidirect |
| 3. #16840141 | C2 | semidirect |
| 4. #16840132 | C2 | semidirect |
| 5. #16840130 | C2 | semidirect |
| 8. #16839867 | C2 | semidirect |
| 9. C4×#11758202 | C2 | semidirect |
| 114. C61 | #3177 | semidirect |