Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
528 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 181 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. #19099038 | C2 | semidirect |
| 3. #19099037 | C2 | semidirect |
| 4. #19098672 | C2 | semidirect |
| 5. #19098643 | C2 | semidirect |
| 6. #19098599 | C2 | semidirect |
| 7. #19098569 | C2 | semidirect |
| 8. #19098521 | C2 | semidirect |
| 9. #418×C79 | C2 | semidirect |
| 11. C2×#11929609 | C4 | semidirect |
| 17. D4×Dic79 | C22 | semidirect |
| 18. #14579123 | C22 | semidirect |
| 23. #14579094 | C22 | semidirect |
| 24. #14579092 | C22 | semidirect |
| 25. #14579083 | C22 | semidirect |
| 26. #14579071 | C22 | semidirect |
| 27. C8×Dic79 | C22 | semidirect |
| 31. #102×C79 | C22 | semidirect |
| 35. C2×D316 | C2×C4 | semidirect |
| 39. #11929609 | C2×C4 | semidirect |
| 40. #11929609 | C2×C4 | semidirect |
| 41. C2×C79⋊C8 | C2×C4 | semidirect |
| 55. C2×D4×C79 | C2×C4 | semidirect |
| 109. C79 | #2948 | semidirect |
| 117. #418 | D79 | semidirect |
| 138. #102 | C2×D79 | semidirect |
| 149. C2×D4 | C4×D79 | semidirect |