Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
788 conjugacy classes of subgroups; only the 202 normal subgroups are shown.
This group has 788 conjugacy classes of subgroups — too many to draw. Only its 202 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. C2×#14519856 | C2 | semidirect |
| 2. #16840742 | C2 | direct (N × H) |
| 3. C2×#14519835 | C2 | semidirect |
| 6. #14519856 | C22 | semidirect |
| 10. #14519835 | C22 | semidirect |
| 14. C2×#11758224 | C4 | semidirect |
| 16. C22×Dic122 | C4 | semidirect |
| 18. C23×Dic61 | C4 | semidirect |
| 20. C22×D4×C61 | C4 | semidirect |
| 26. C2×D4×C61 | C2×C4 | semidirect |
| 37. C22×Dic61 | C2×C4 | semidirect |
| 49. C2×Dic122 | C2×C4 | semidirect |
| 109. C2×C61 | #410 | semidirect |
| 117. C61 | C2×#410 | semidirect |
| 125. C22×D4 | #6923 | semidirect |
| 149. C2×D4 | C2×#6923 | semidirect |
| 223. C2 | #16840742 | direct (N × H) |