Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
600 conjugacy classes of subgroups; only the 349 normal subgroups are shown.
This group has 600 conjugacy classes of subgroups — too many to draw. Only its 349 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 |
|---|---|---|
| 3. C2×#14519710 | C2 | direct (N × H) |
| 6. C22×#92418 | C4 | semidirect |
| 10. #14519710 | C22 | direct (N × H) |
| 28. C2×#92418 | C2×C4 | semidirect |
| 43. #92418 | C22×C4 | semidirect |
| 44. C22×C61 | #107 | semidirect |
| 55. C2×C61 | C2×#107 | semidirect |
| 63. C61 | C22×#107 | semidirect |
| 103. C22 | #14519710 | direct (N × H) |
| 113. C2 | C2×#14519710 | direct (N × H) |