Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
160 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 49 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×#14519716 | C2 | semidirect |
| 2. #16840000 | C2 | semidirect |
| 4. #16839588 | C2 | semidirect |
| 5. #16839566 | C2 | semidirect |
| 6. #16839563 | C2 | semidirect |
| 7. C2×SD32×C61 | C2 | semidirect |
| 38. C16×C61 | D4 | semidirect |
| 76. C2×SD32 | D61 | semidirect |
| 83. C61 | #2220 | semidirect |
| 115. C16 | C22⋊D61 | semidirect |