Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
544 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 149 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×#11929612 | C2 | semidirect |
| 2. C22×#11929607 | C2 | semidirect |
| 3. C2×#14579141 | C2 | semidirect |
| 5. #19098808 | C2 | direct (N × H) |
| 6. C2×#14579094 | C2 | semidirect |
| 7. C2×#14579086 | C2 | semidirect |
| 8. C2×#102×C79 | C2 | semidirect |
| 13. C2×#11929612 | C22 | semidirect |
| 15. C2×#11929607 | C22 | semidirect |
| 18. #14579141 | C22 | semidirect |
| 25. #14579094 | C22 | semidirect |
| 26. #14579086 | C22 | semidirect |
| 30. #102×C79 | C22 | semidirect |
| 47. C2×C79⋊C8 | D4 | semidirect |
| 97. C79⋊C8 | C2×D4 | semidirect |
| 118. C2×C79 | #468 | semidirect |
| 124. C79 | C2×#468 | semidirect |
| 132. C2×#102 | D79 | semidirect |
| 154. #102 | C2×D79 | semidirect |
| 243. C2 | #19098808 | direct (N × H) |