Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
170 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 51 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. C2×#14519722 | C2 | semidirect |
| 3. #16840146 | C2 | semidirect |
| 4. C4×D488 | C2 | semidirect |
| 5. #16839567 | C2 | semidirect |
| 6. #16839564 | C2 | semidirect |
| 7. C61×C4⋊C16 | C2 | semidirect |
| 81. C4⋊C16 | D61 | semidirect |
| 84. C61 | #2210 | semidirect |