Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
280 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 110 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 |
|---|---|---|
| 7. #14519846 | C4 | direct (N × H) |
| 12. C4×#92418 | C4 | semidirect |
| 13. C8×Dic61 | C4 | semidirect |
| 14. C8×Dic61 | C4 | semidirect |
| 15. C4×C8×C61 | C4 | semidirect |
| 49. C8×C61 | C42 | semidirect |
| 51. #92418 | C42 | semidirect |
| 59. C4×C61 | #107 | semidirect |
| 63. Dic61 | #107 | semidirect |
| 75. C61 | C4×#107 | semidirect |
| 85. C4×C8 | #6923 | semidirect |
| 122. C8 | C4×#6923 | semidirect |
| 133. C4 | #14519846 | direct (N × H) |