Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
418 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19098888 | C2 | semidirect |
| 4. #19098888 | C2 | semidirect |
| 5. #19098882 | C2 | semidirect |
| 6. #19098877 | C2 | semidirect |
| 7. #19098605 | C2 | semidirect |
| 8. #19098601 | C2 | semidirect |
| 9. #19098569 | C2 | semidirect |
| 10. C2×#14579083 | C2 | semidirect |
| 11. #408×C79 | C2 | semidirect |
| 23. #14579120 | C22 | semidirect |
| 25. C2×C4⋊Dic79 | C22 | semidirect |
| 26. #14579095 | C22 | semidirect |
| 27. #14579095 | C22 | semidirect |
| 28. #14579095 | C22 | semidirect |
| 29. #14579093 | C22 | semidirect |
| 30. #14579093 | C22 | semidirect |
| 31. #14579093 | C22 | semidirect |
| 39. C22⋊C8×C79 | C22 | semidirect |
| 40. C22⋊C8×C79 | C22 | semidirect |
| 135. C79 | #3096 | semidirect |
| 146. #408 | D79 | semidirect |
| 174. C22⋊C8 | C2×D79 | semidirect |
| 175. C22⋊C8 | C2×D79 | semidirect |