Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
168 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 67 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. #16839892 | C2 | semidirect |
| 4. #16839513 | C2 | semidirect |
| 5. #16839494 | C2 | semidirect |
| 7. C61×#322 | C2 | semidirect |
| 58. C8×C61 | SD16 | semidirect |
| 84. #322 | D61 | semidirect |
| 85. C61 | #1582 | semidirect |
| 138. C8 | #11758190 | semidirect |