Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
112 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 112 conjugacy classes of subgroups — too many to draw. Only its 37 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. Q32×D79 | C2 | semidirect |
| 3. #19098402 | C2 | semidirect |
| 4. #19098401 | C2 | semidirect |
| 5. #19098400 | C2 | semidirect |
| 6. C32×D79 | C2 | semidirect |
| 7. SD64×C79 | C2 | semidirect |
| 10. Dic632 | C22 | semidirect |
| 15. C79⋊C32 | C22 | semidirect |
| 16. Q32×C79 | C22 | semidirect |
| 18. C32×C79 | C22 | semidirect |
| 52. D79 | SD64 | direct (N × H) |
| 54. C79 | C2×SD64 | semidirect |
| 60. SD64 | D79 | direct (N × H) |
| 66. Q32 | C2×D79 | semidirect |
| 72. C32 | C2×D79 | semidirect |