Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
284 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 58 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. #16840669 | C2 | direct (N × H) |
| 7. C22×Dic122 | C4 | semidirect |
| 10. #14519765 | C4 | semidirect |
| 13. C2×C42×C61 | C4 | semidirect |
| 27. C2×Dic122 | C2×C4 | semidirect |
| 31. C42×C61 | C2×C4 | semidirect |
| 74. C2×C61 | #354 | semidirect |
| 81. C61 | C2×#354 | semidirect |
| 89. C2×C42 | #6923 | semidirect |
| 111. C42 | C2×#6923 | semidirect |
| 153. C2 | #16840669 | direct (N × H) |