Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
410 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19099134 | C2 | semidirect |
| 3. #19098905 | C2 | semidirect |
| 4. #19098888 | C2 | semidirect |
| 5. #19098809 | C2 | semidirect |
| 6. #19098792 | C2 | semidirect |
| 7. #19098716 | C2 | semidirect |
| 8. #19098704 | C2 | semidirect |
| 9. #408×C79 | C2 | semidirect |
| 10. C22×Dic158 | C22 | semidirect |
| 21. #14579140 | C22 | semidirect |
| 27. #14579120 | C22 | semidirect |
| 28. #14579095 | C22 | semidirect |
| 29. #14579093 | C22 | semidirect |
| 30. #14579086 | C22 | semidirect |
| 31. #14579086 | C22 | semidirect |
| 35. C2×M16×C79 | C22 | semidirect |
| 36. C22×C8×C79 | C22 | semidirect |
| 38. C22⋊C8×C79 | C22 | semidirect |
| 138. C79 | #3200 | semidirect |
| 147. #408 | D79 | semidirect |
| 153. C2×M16 | C2×D79 | semidirect |
| 154. C22×C8 | C2×D79 | semidirect |
| 176. C22⋊C8 | C2×D79 | semidirect |