Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
228 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 58 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 |
|---|---|---|
| 4. C22×#92420 | C4 | semidirect |
| 12. C22⋊#92418 | C4 | semidirect |
| 14. C22⋊C8×C61 | C4 | semidirect |
| 25. C22⋊#6923 | C8 | semidirect |
| 84. C61 | #1282 | semidirect |
| 94. C22⋊C8 | #6923 | semidirect |