Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
174 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 65 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. C4×D488 | C2 | semidirect |
| 3. #16839587 | C2 | semidirect |
| 4. #16839563 | C2 | semidirect |
| 5. #16839562 | C2 | semidirect |
| 6. C4×#11758185 | C2 | semidirect |
| 7. C4×D8×C61 | C2 | semidirect |
| 10. #14519718 | C4 | direct (N × H) |
| 25. D8×C61 | C2×C4 | semidirect |
| 34. D488 | C2×C4 | semidirect |
| 36. #11758185 | C2×C4 | semidirect |
| 62. C4×C61 | D16 | semidirect |
| 74. C4×D8 | D61 | semidirect |
| 79. C61 | C4×D16 | semidirect |
| 99. D8 | C4×D61 | semidirect |
| 135. C4 | #14519718 | direct (N × H) |