Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
648 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 648 conjugacy classes of subgroups — too many to draw. Only its 157 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. C22×D632 | C2 | semidirect |
| 2. C22×#11929609 | C2 | semidirect |
| 3. C2×#14579157 | C2 | semidirect |
| 4. C2×#14579123 | C2 | semidirect |
| 5. #19098757 | C2 | direct (N × H) |
| 6. C2×Dic79⋊C8 | C2 | semidirect |
| 7. C2×#14579081 | C2 | semidirect |
| 8. C2×#102×C79 | C2 | semidirect |
| 15. C2×D632 | C22 | semidirect |
| 17. C2×#11929609 | C22 | semidirect |
| 20. #14579157 | C22 | semidirect |
| 22. #14579123 | C22 | semidirect |
| 25. Dic79⋊C8 | C22 | semidirect |
| 26. #14579081 | C22 | semidirect |
| 30. #102×C79 | C22 | semidirect |
| 38. C2×D316 | D4 | semidirect |
| 92. C2×Dic79 | D8 | semidirect |
| 100. D316 | C2×D4 | semidirect |
| 125. Dic79 | C2×D8 | semidirect |
| 127. C2×C79 | #459 | semidirect |
| 134. C79 | C2×#459 | semidirect |
| 142. C2×#102 | D79 | semidirect |
| 164. #102 | C2×D79 | semidirect |
| 263. C2 | #19098757 | direct (N × H) |