Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
360 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 89 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×C4⋊#92418 | C2 | semidirect |
| 3. C2×#14519698 | C2 | semidirect |
| 4. C2×#14519697 | C2 | semidirect |
| 5. #16839664 | C2 | semidirect |
| 6. #16839524 | C2 | semidirect |
| 7. C61×#390 | C2 | semidirect |
| 88. C2×C4×C61 | D8 | semidirect |
| 148. #390 | D61 | semidirect |
| 150. C61 | #2054 | semidirect |
| 238. C2×C4 | #11758199 | semidirect |