Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
332 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 106 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 |
|---|---|---|
| 10. Q8×#6923 | C4 | semidirect |
| 17. #14519840 | C4 | semidirect |
| 23. #14519702 | C4 | semidirect |
| 24. #14519701 | C4 | semidirect |
| 25. #14519700 | C4 | semidirect |
| 26. #103×C61 | C4 | semidirect |
| 74. Q8×C61 | C42 | semidirect |
| 92. Dic122 | C42 | semidirect |
| 106. #6923 | #103 | direct (N × H) |
| 130. C61 | C4×#103 | semidirect |
| 147. #103 | #6923 | direct (N × H) |
| 189. Q8 | C4×#6923 | semidirect |