Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
596 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 137 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. C2×#14579188 | C2 | semidirect |
| 2. C2×#14579184 | C2 | semidirect |
| 3. C2×D8×D79 | C2 | semidirect |
| 4. #19099131 | C2 | semidirect |
| 5. #19098953 | C2 | semidirect |
| 6. #19098949 | C2 | semidirect |
| 7. #19098948 | C2 | semidirect |
| 8. #19098940 | C2 | semidirect |
| 9. #19098938 | C2 | semidirect |
| 10. #19098517 | C2 | semidirect |
| 11. #495×C79 | C2 | semidirect |
| 16. C2×#11929611 | C22 | semidirect |
| 17. C2×#11929611 | C22 | semidirect |
| 19. C2×D632 | C22 | semidirect |
| 20. C2×D632 | C22 | semidirect |
| 22. C2×#11929609 | C22 | semidirect |
| 26. #14579158 | C22 | semidirect |
| 27. #14579157 | C22 | semidirect |
| 28. #14579150 | C22 | semidirect |
| 32. #14579072 | C22 | semidirect |
| 33. #14579071 | C22 | semidirect |
| 34. C8×Dic79 | C22 | semidirect |
| 35. C2×Q16×C79 | C22 | semidirect |
| 36. C2×SD16×C79 | C22 | semidirect |
| 38. #124×C79 | C22 | semidirect |
| 39. C4×C8×C79 | C22 | semidirect |
| 60. #11929607 | D4 | semidirect |
| 63. C8×D79 | D4 | semidirect |
| 130. C79 | #3155 | semidirect |
| 138. #495 | D79 | semidirect |
| 146. C2×Q16 | C2×D79 | semidirect |
| 149. C2×SD16 | C2×D79 | semidirect |
| 162. #124 | C2×D79 | semidirect |
| 169. C4×C8 | C2×D79 | semidirect |