Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
592 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 592 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×#11929614 | C2 | semidirect |
| 2. C22×#11929612 | C2 | semidirect |
| 3. C22×#11929611 | C2 | semidirect |
| 5. C2×#14579149 | C2 | semidirect |
| 6. #19098945 | C2 | direct (N × H) |
| 7. C2×C4×C79⋊C8 | C2 | semidirect |
| 8. C2×#124×C79 | C2 | semidirect |
| 12. C2×#11929614 | C22 | semidirect |
| 14. C2×#11929612 | C22 | semidirect |
| 16. C2×#11929611 | C22 | semidirect |
| 22. #14579149 | C22 | semidirect |
| 24. C4×C79⋊C8 | C22 | semidirect |
| 28. #124×C79 | C22 | semidirect |
| 112. C2×C79 | #495 | semidirect |
| 117. C79 | C2×#495 | semidirect |
| 123. C2×#124 | D79 | semidirect |
| 143. #124 | C2×D79 | semidirect |
| 230. C2 | #19098945 | direct (N × H) |