Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
468 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 468 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×#14579140 | C2 | semidirect |
| 3. #19098894 | C2 | semidirect |
| 4. #19098882 | C2 | semidirect |
| 5. #19098792 | C2 | semidirect |
| 6. #19098716 | C2 | semidirect |
| 7. #19098704 | C2 | semidirect |
| 8. C2×C22⋊C8×C79 | C2 | semidirect |
| 9. C22×Dic158 | C22 | semidirect |
| 12. C2×#11929613 | C22 | semidirect |
| 16. #14579140 | C22 | semidirect |
| 22. C2×C4⋊Dic79 | C22 | semidirect |
| 26. #14579093 | C22 | semidirect |
| 27. #14579086 | C22 | semidirect |
| 28. #14579083 | C22 | semidirect |
| 30. C22×C8×C79 | C22 | semidirect |
| 32. C22⋊C8×C79 | C22 | semidirect |
| 69. C23×C79 | SD16 | semidirect |
| 130. C79 | #3187 | semidirect |
| 138. C2×C22⋊C8 | D79 | semidirect |
| 144. C22×C8 | C2×D79 | semidirect |
| 162. C22⋊C8 | C2×D79 | semidirect |
| 203. C23 | #11929613 | semidirect |