Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
778 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 778 conjugacy classes of subgroups — too many to draw. Only its 253 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. #19099046 | C2 | semidirect |
| 3. #19098569 | C2 | semidirect |
| 4. #19098565 | C2 | semidirect |
| 5. #19098560 | C2 | semidirect |
| 6. C2×#14579083 | C2 | semidirect |
| 7. C2×#131×C79 | C2 | semidirect |
| 9. #14579207 | C4 | semidirect |
| 16. #14579120 | C22 | semidirect |
| 17. C2×C4⋊Dic79 | C22 | semidirect |
| 18. #14579086 | C22 | semidirect |
| 19. #14579086 | C22 | semidirect |
| 20. #14579083 | C22 | semidirect |
| 21. #14579083 | C22 | semidirect |
| 22. #14579083 | C22 | semidirect |
| 25. C2×M16×C79 | C22 | semidirect |
| 26. C22×C8×C79 | C22 | semidirect |
| 30. #11929624 | C2×C4 | semidirect |
| 34. C2×D316 | C2×C4 | semidirect |
| 98. C79 | #2897 | semidirect |
| 100. C2×#131 | D79 | semidirect |
| 114. C2×M16 | C2×D79 | semidirect |
| 115. C22×C8 | C2×D79 | semidirect |