Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
510 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 1. C22×#11758199 | C2 | semidirect |
| 2. C2×#14519774 | C2 | semidirect |
| 3. C2×#14519697 | C2 | semidirect |
| 4. #16839517 | C2 | semidirect |
| 5. C61×#390 | C2 | semidirect |
| 23. C2×D4×C61 | D4 | semidirect |
| 42. C2×#92418 | D4 | semidirect |
| 60. C2×C4×C61 | D8 | semidirect |
| 101. #390 | D61 | semidirect |
| 103. C61 | #2011 | semidirect |
| 130. C2×D4 | D244 | semidirect |
| 163. C2×C4 | #11758199 | semidirect |