Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
370 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 73 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×#14519810 | C2 | semidirect |
| 2. C2×#14519807 | C2 | semidirect |
| 4. C2×#14519705 | C2 | semidirect |
| 5. #16839668 | C2 | semidirect |
| 6. #16839530 | C2 | semidirect |
| 7. C2×#104×C61 | C2 | semidirect |
| 57. C2×Dic122 | D4 | semidirect |
| 59. M16×C61 | D4 | semidirect |
| 71. #11758194 | D4 | semidirect |
| 149. C2×#104 | D61 | semidirect |
| 152. C61 | #2007 | semidirect |
| 210. M16 | C22⋊D61 | semidirect |