Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
492 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 135 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×Q16×D79 | C2 | semidirect |
| 4. #19098822 | C2 | semidirect |
| 5. #19098821 | C2 | semidirect |
| 6. #19098820 | C2 | semidirect |
| 7. #19098819 | C2 | semidirect |
| 8. #19098818 | C2 | semidirect |
| 9. #106×D79 | C2 | semidirect |
| 10. #103×D79 | C2 | semidirect |
| 11. #470×C79 | C2 | semidirect |
| 14. C2×Dic316 | C22 | semidirect |
| 15. C2×#11929614 | C22 | semidirect |
| 31. #14579093 | C22 | semidirect |
| 32. #14579092 | C22 | semidirect |
| 33. #14579086 | C22 | semidirect |
| 34. #14579085 | C22 | semidirect |
| 35. #14579084 | C22 | semidirect |
| 36. C2×Q16×C79 | C22 | semidirect |
| 39. #106×C79 | C22 | semidirect |
| 40. #103×C79 | C22 | semidirect |
| 135. D79 | #470 | direct (N × H) |
| 137. C79 | C2×#470 | semidirect |
| 146. #470 | D79 | direct (N × H) |
| 154. C2×Q16 | C2×D79 | semidirect |
| 173. #106 | C2×D79 | semidirect |
| 177. #103 | C2×D79 | semidirect |