Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
468 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14579194 | C2 | semidirect |
| 3. C22×#11929612 | C2 | semidirect |
| 4. C2×#14579169 | C2 | semidirect |
| 5. #19098825 | C2 | direct (N × H) |
| 6. C2×#14579096 | C2 | semidirect |
| 7. C2×#14579079 | C2 | semidirect |
| 8. C2×#100×C79 | C2 | semidirect |
| 12. #14579194 | C22 | semidirect |
| 21. C2×#11929612 | C22 | semidirect |
| 24. #14579169 | C22 | semidirect |
| 29. #14579096 | C22 | semidirect |
| 30. #14579079 | C22 | semidirect |
| 34. #100×C79 | C22 | semidirect |
| 135. C2×C79 | #471 | semidirect |
| 139. C79 | C2×#471 | semidirect |
| 147. C2×#100 | D79 | semidirect |
| 173. #100 | C2×D79 | semidirect |
| 275. C2 | #19098825 | direct (N × H) |