Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
404 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 404 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 |
|---|---|---|
| 1. #19099191 | C2 | semidirect |
| 3. #19098928 | C2 | semidirect |
| 4. #19098923 | C2 | semidirect |
| 5. #19098918 | C2 | semidirect |
| 6. #19098910 | C2 | semidirect |
| 7. #19098569 | C2 | semidirect |
| 8. #19098565 | C2 | semidirect |
| 9. #19098560 | C2 | semidirect |
| 10. C2×#14579083 | C2 | semidirect |
| 11. #405×C79 | C2 | semidirect |
| 14. #14579161 | C22 | semidirect |
| 17. #14579153 | C22 | semidirect |
| 26. #14579086 | C22 | semidirect |
| 27. #14579086 | C22 | semidirect |
| 28. #14579086 | C22 | semidirect |
| 33. #14579083 | C22 | semidirect |
| 34. #14579083 | C22 | semidirect |
| 35. #14579083 | C22 | semidirect |
| 39. #97×C79 | C22 | semidirect |
| 40. C4×C8×C79 | C22 | semidirect |
| 136. C79 | #3136 | semidirect |
| 147. #405 | D79 | semidirect |
| 175. #97 | C2×D79 | semidirect |
| 176. C4×C8 | C2×D79 | semidirect |