Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
758 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 758 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×#11929623 | C2 | semidirect |
| 2. C2×#14579191 | C2 | semidirect |
| 3. #19099070 | C2 | semidirect |
| 4. #19098722 | C2 | semidirect |
| 5. #19098705 | C2 | semidirect |
| 6. #19098573 | C2 | semidirect |
| 7. #19098568 | C2 | semidirect |
| 8. #19098526 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C79 | C2 | semidirect |
| 19. C2×#11929614 | C22 | semidirect |
| 20. C2×#11929612 | C22 | semidirect |
| 23. #14579137 | C22 | semidirect |
| 24. #14579132 | C22 | semidirect |
| 28. #14579086 | C22 | semidirect |
| 29. #14579082 | C22 | semidirect |
| 30. (C2×D79)⋊C8 | C22 | semidirect |
| 34. C2×SD16×C79 | C22 | semidirect |
| 35. C2×D8×C79 | C22 | semidirect |
| 43. C2×Dic158 | D4 | semidirect |
| 73. C2×D4×C79 | D4 | semidirect |
| 146. C79 | #3005 | semidirect |
| 149. C2×AGL(1,ℤ/8) | D79 | semidirect |
| 170. C2×SD16 | C2×D79 | semidirect |
| 171. C2×D8 | C2×D79 | semidirect |
| 201. C2×D4 | C22⋊D79 | semidirect |