Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
200 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 114 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. #16840623 | C2 | direct (N × H) |
| 17. C2×C8×C61 | C8 | semidirect |
| 37. C8×C61 | C2×C8 | semidirect |
| 51. C2×C61 | #334 | semidirect |
| 58. C61 | C2×#334 | semidirect |
| 74. C2×C8 | #92420 | semidirect |
| 93. C8 | C2×#92420 | semidirect |
| 105. C2 | #16840623 | direct (N × H) |