Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
154 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 44 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. #16840808 | C2 | semidirect |
| 2. #16840803 | C2 | semidirect |
| 3. #16840687 | C2 | semidirect |
| 4. #16840680 | C2 | semidirect |
| 5. #16840679 | C2 | semidirect |
| 6. #16840652 | C2 | semidirect |
| 18. #14519720 | C4 | semidirect |
| 19. D976 | C4 | semidirect |
| 20. #14519718 | C4 | semidirect |
| 22. SD32×C61 | C4 | semidirect |
| 33. Q16×C61 | C2×C4 | semidirect |
| 38. D488 | C2×C4 | semidirect |
| 41. C16×C61 | C2×C4 | semidirect |
| 42. #11758185 | C2×C4 | semidirect |
| 83. C61 | AGL(1,ℤ/16) | semidirect |
| 89. SD32 | #6923 | semidirect |
| 102. Q16 | C2×#6923 | semidirect |
| 118. C16 | C2×#6923 | semidirect |