Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
412 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 96 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. C4×C22⋊#6923 | C2 | semidirect |
| 3. #16840640 | C2 | semidirect |
| 7. #14519836 | C4 | direct (N × H) |
| 10. C22×C4×D61 | C4 | semidirect |
| 14. C2×C4⋊Dic61 | C4 | semidirect |
| 15. C2×#11758198 | C4 | semidirect |
| 17. C2×C42×C61 | C4 | semidirect |
| 36. C22⋊#6923 | C2×C4 | semidirect |
| 50. C22×D61 | C42 | semidirect |
| 62. C2×C4×C61 | C42 | semidirect |
| 93. C4×C61 | #99 | semidirect |
| 108. C61 | C4×#99 | semidirect |
| 119. C2×C42 | #6923 | semidirect |
| 175. C2×C4 | C4×#6923 | semidirect |
| 199. C4 | #14519836 | direct (N × H) |