Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
174 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 174 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×#14519718 | C2 | semidirect |
| 2. C2×C16×D61 | C2 | semidirect |
| 3. #16839999 | C2 | semidirect |
| 4. #16839995 | C2 | semidirect |
| 5. #16839587 | C2 | semidirect |
| 6. #16839564 | C2 | semidirect |
| 7. C61×#357 | C2 | semidirect |
| 39. #11758185 | D4 | semidirect |
| 67. C2×D61 | D16 | semidirect |
| 86. #357 | D61 | semidirect |
| 87. C61 | #2215 | semidirect |