Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
480 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 157 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×#14519776 | C2 | semidirect |
| 3. #16840051 | C2 | direct (N × H) |
| 4. C2×#14519708 | C2 | semidirect |
| 5. C2×#14519706 | C2 | semidirect |
| 8. C2×#106×C61 | C2 | semidirect |
| 14. #14519776 | C22 | semidirect |
| 21. #14519708 | C22 | semidirect |
| 22. #14519706 | C22 | semidirect |
| 28. #106×C61 | C22 | semidirect |
| 38. C2×D244 | Q8 | semidirect |
| 79. D244 | C2×Q8 | semidirect |
| 101. C2×C61 | #476 | semidirect |
| 110. C2×#106 | D61 | semidirect |
| 114. C61 | C2×#476 | semidirect |
| 131. #106 | C2×D61 | semidirect |
| 207. C2 | #16840051 | direct (N × H) |