Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
732 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 732 conjugacy classes of subgroups — too many to draw. Only its 165 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×#14579186 | C2 | semidirect |
| 2. C22×#11929611 | C2 | semidirect |
| 3. #19099127 | C2 | semidirect |
| 4. #19098708 | C2 | semidirect |
| 5. #19098702 | C2 | semidirect |
| 6. #19098572 | C2 | semidirect |
| 7. #19098559 | C2 | semidirect |
| 8. #19098530 | C2 | semidirect |
| 9. C2×2−1+4×C79 | C2 | semidirect |
| 23. #14579085 | C22 | semidirect |
| 24. #14579085 | C22 | semidirect |
| 25. #14579082 | C22 | semidirect |
| 26. C22⋊(C79⋊C8) | C22 | semidirect |
| 33. C2×#41×C79 | C22 | semidirect |
| 36. C22×Q8×C79 | C22 | semidirect |
| 61. #41×C79 | D4 | semidirect |
| 69. C2×Q8×C79 | D4 | semidirect |
| 146. C79 | #3010 | semidirect |
| 147. C2×2−1+4 | D79 | semidirect |
| 162. C2×#41 | C2×D79 | semidirect |
| 165. C22×Q8 | C2×D79 | semidirect |
| 191. #41 | C22⋊D79 | semidirect |
| 199. C2×Q8 | C22⋊D79 | semidirect |