Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
490 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 141 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×#11929611 | C2 | semidirect |
| 3. #19099041 | C2 | semidirect |
| 4. #19098787 | C2 | semidirect |
| 5. #19098761 | C2 | semidirect |
| 6. #19098591 | C2 | semidirect |
| 7. #19098569 | C2 | semidirect |
| 8. #19098559 | C2 | semidirect |
| 9. C2×#137×C79 | C2 | semidirect |
| 19. Q8×Dic79 | C22 | semidirect |
| 23. Dic79⋊C8 | C22 | semidirect |
| 24. #14579085 | C22 | semidirect |
| 26. #14579082 | C22 | semidirect |
| 30. C2×Q16×C79 | C22 | semidirect |
| 31. C2×SD16×C79 | C22 | semidirect |
| 55. C2×Q8×C79 | D4 | semidirect |
| 117. C79 | #3043 | semidirect |
| 118. C2×#137 | D79 | semidirect |
| 131. C2×Q16 | C2×D79 | semidirect |
| 134. C2×SD16 | C2×D79 | semidirect |
| 155. C2×Q8 | C22⋊D79 | semidirect |