Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
556 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 556 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×#14579189 | C2 | semidirect |
| 2. #19099234 | C2 | semidirect |
| 3. D4×D316 | C2 | semidirect |
| 4. #19098940 | C2 | semidirect |
| 5. #19098816 | C2 | semidirect |
| 6. #19098764 | C2 | semidirect |
| 7. #19098759 | C2 | semidirect |
| 8. #19098710 | C2 | semidirect |
| 9. #19098699 | C2 | semidirect |
| 10. C4×#11929613 | C2 | semidirect |
| 11. #436×C79 | C2 | semidirect |
| 12. C2×#11929624 | C22 | semidirect |
| 17. C2×#11929613 | C22 | semidirect |
| 19. C2×D632 | C22 | semidirect |
| 20. C2×D632 | C22 | semidirect |
| 22. #14579158 | C22 | semidirect |
| 26. #14579135 | C22 | semidirect |
| 29. C4×Dic158 | C22 | semidirect |
| 32. #14579093 | C22 | semidirect |
| 33. #14579086 | C22 | semidirect |
| 35. #14579083 | C22 | semidirect |
| 36. #14579083 | C22 | semidirect |
| 37. C2×M16×C79 | C22 | semidirect |
| 39. C4⋊C8×C79 | C22 | semidirect |
| 40. C22⋊C8×C79 | C22 | semidirect |
| 41. C4×C8×C79 | C22 | semidirect |
| 63. #11929613 | D4 | semidirect |
| 117. Dic158 | C2×D4 | semidirect |
| 120. C8×C79 | C2×D4 | semidirect |
| 137. C4×C79 | AGL(1,ℤ/8) | semidirect |
| 151. C79 | #3274 | semidirect |
| 162. #436 | D79 | semidirect |
| 172. C2×M16 | C2×D79 | semidirect |
| 186. C4⋊C8 | C2×D79 | semidirect |
| 191. C22⋊C8 | C2×D79 | semidirect |
| 192. C4×C8 | C2×D79 | semidirect |
| 271. C8 | D4×D79 | semidirect |
| 291. C4 | #14579189 | semidirect |