Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
480 conjugacy classes of subgroups; only the 170 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 170 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. #16840802 | C2 | direct (N × H) |
| 18. C2×Dic244 | C4 | semidirect |
| 19. C2×#11758202 | C4 | semidirect |
| 20. Q16×D61 | C4 | semidirect |
| 23. C2×Q16×C61 | C4 | semidirect |
| 44. Q16×C61 | C2×C4 | semidirect |
| 46. #11758202 | C2×C4 | semidirect |
| 48. Dic244 | C2×C4 | semidirect |
| 88. C2×C61 | #441 | semidirect |
| 90. D61 | #441 | semidirect |
| 98. C61 | C2×#441 | semidirect |
| 104. C2×Q16 | #6923 | semidirect |
| 129. Q16 | C2×#6923 | semidirect |
| 181. C2 | #16840802 | direct (N × H) |