Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
372 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 117 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. C2×#14519706 | C2 | semidirect |
| 4. #16839631 | C2 | semidirect |
| 5. #16839525 | C2 | semidirect |
| 6. #16839524 | C2 | semidirect |
| 11. D4×Dic61 | C4 | semidirect |
| 68. D4×C61 | C4⋊C4 | semidirect |
| 115. Dic61 | #102 | semidirect |
| 132. C61 | #1802 | semidirect |
| 193. D4 | #11758196 | semidirect |