Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
336 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#14519710 | C2 | semidirect |
| 4. #16839524 | C2 | semidirect |
| 7. C22×#92418 | C4 | semidirect |
| 60. #92418 | C22⋊C4 | semidirect |
| 65. C22×C61 | #107 | semidirect |
| 89. C61 | #1808 | semidirect |
| 149. C22 | #14519710 | semidirect |