Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
680 conjugacy classes of subgroups; only the 138 normal subgroups are shown.
This group has 680 conjugacy classes of subgroups — too many to draw. Only its 138 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. #16840640 | C2 | semidirect |
| 7. C2×C22⋊#6923 | C4 | semidirect |
| 10. C22×C4×D61 | C4 | semidirect |
| 11. C2×C22⋊Dic61 | C4 | semidirect |
| 15. C2×C22⋊C4×C61 | C4 | semidirect |
| 28. C22×C4×C61 | C2×C4 | semidirect |
| 29. C22×Dic61 | C2×C4 | semidirect |
| 35. C22⋊#6923 | C2×C4 | semidirect |
| 108. D61 | #342 | semidirect |
| 112. C61 | C2×#342 | semidirect |
| 124. C2×C22⋊C4 | #6923 | semidirect |
| 141. C22×C4 | C2×#6923 | semidirect |