Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
668 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 668 conjugacy classes of subgroups — too many to draw. Only its 165 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×#11929613 | C2 | semidirect |
| 2. C22×#11929612 | C2 | semidirect |
| 3. C22×#11929609 | C2 | semidirect |
| 4. C2×#14579157 | C2 | semidirect |
| 5. C2×#14579148 | C2 | semidirect |
| 6. #19098951 | C2 | direct (N × H) |
| 7. C2×#14579071 | C2 | semidirect |
| 8. C22×D8×C79 | C2 | semidirect |
| 13. C2×#11929613 | C22 | semidirect |
| 15. C2×#11929612 | C22 | semidirect |
| 17. C2×#11929609 | C22 | semidirect |
| 20. #14579157 | C22 | semidirect |
| 22. #14579148 | C22 | semidirect |
| 25. #14579071 | C22 | semidirect |
| 29. C2×D8×C79 | C22 | semidirect |
| 47. C2×C79⋊C8 | D4 | semidirect |
| 64. C2×C8×C79 | D4 | semidirect |
| 97. C8×C79 | C2×D4 | semidirect |
| 98. C79⋊C8 | C2×D4 | semidirect |
| 118. C2×C79 | #496 | semidirect |
| 123. C79 | C2×#496 | semidirect |
| 127. C22×D8 | D79 | semidirect |
| 144. C2×D8 | C2×D79 | semidirect |
| 184. C2×C8 | C22⋊D79 | semidirect |
| 221. C8 | C2×C22⋊D79 | semidirect |
| 242. C2 | #19098951 | direct (N × H) |