Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
616 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 616 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×#11929609 | C2 | semidirect |
| 2. C22×C8×D79 | C2 | semidirect |
| 3. C2×#14579136 | C2 | semidirect |
| 4. C2×#14579132 | C2 | semidirect |
| 5. #19098798 | C2 | direct (N × H) |
| 6. C2×#14579094 | C2 | semidirect |
| 7. C2×#14579083 | C2 | semidirect |
| 8. C2×#102×C79 | C2 | semidirect |
| 14. C2×#11929609 | C22 | semidirect |
| 17. C2×C8×D79 | C22 | semidirect |
| 19. #14579136 | C22 | semidirect |
| 21. #14579132 | C22 | semidirect |
| 25. #14579094 | C22 | semidirect |
| 26. #14579083 | C22 | semidirect |
| 30. #102×C79 | C22 | semidirect |
| 48. C2×C79⋊C8 | D4 | semidirect |
| 77. C22×D79 | D8 | semidirect |
| 101. C79⋊C8 | C2×D4 | semidirect |
| 117. C2×D79 | C2×D8 | semidirect |
| 125. C2×C79 | #466 | semidirect |
| 132. C79 | C2×#466 | semidirect |
| 140. C2×#102 | D79 | semidirect |
| 162. #102 | C2×D79 | semidirect |
| 259. C2 | #19098798 | direct (N × H) |