Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
226 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 226 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 |
|---|---|---|
| 6. C2×C4×#6923 | C4 | semidirect |
| 9. (C2×#6923)⋊C4 | C4 | semidirect |
| 12. C22⋊#92418 | C4 | semidirect |
| 14. C22⋊C8×C61 | C4 | semidirect |
| 82. C61 | #1284 | semidirect |
| 90. C22⋊C8 | #6923 | semidirect |