Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 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. C2×#14579192 | C2 | semidirect |
| 2. C2×#14579186 | C2 | semidirect |
| 3. C2×#14579181 | C2 | semidirect |
| 4. C22×#11929611 | C2 | semidirect |
| 5. #19099132 | C2 | semidirect |
| 6. #19098955 | C2 | semidirect |
| 7. #19098953 | C2 | semidirect |
| 8. #19098945 | C2 | semidirect |
| 9. #19098937 | C2 | semidirect |
| 10. #19098519 | C2 | semidirect |
| 11. #536×C79 | C2 | semidirect |
| 17. C2×#11929614 | C22 | semidirect |
| 18. C2×#11929614 | C22 | semidirect |
| 19. C2×#11929612 | C22 | semidirect |
| 24. C2×#11929611 | C22 | semidirect |
| 25. C2×#11929611 | C22 | semidirect |
| 27. C2×#11929609 | C22 | semidirect |
| 34. #14579072 | C22 | semidirect |
| 35. C4×C79⋊C8 | C22 | semidirect |
| 38. C4⋊Q8×C79 | C22 | semidirect |
| 39. #124×C79 | C22 | semidirect |
| 65. #11929608 | D4 | semidirect |
| 66. C2×C79⋊C8 | D4 | semidirect |
| 149. C79 | #3154 | semidirect |
| 154. #536 | D79 | semidirect |
| 181. C4⋊Q8 | C2×D79 | semidirect |
| 184. #124 | C2×D79 | semidirect |