Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
928 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 928 conjugacy classes of subgroups — too many to draw. Only its 209 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 |
|---|---|---|
| 2. C2×(C22⋊D79)⋊C4 | C2 | semidirect |
| 3. C2×C22⋊C4×D79 | C2 | semidirect |
| 4. #19098451 | C2 | semidirect |
| 5. #19098443 | C2 | semidirect |
| 6. #19098439 | C2 | semidirect |
| 7. #19098434 | C2 | semidirect |
| 8. C4×(C2×D79)⋊C4 | C2 | semidirect |
| 9. #390×C79 | C2 | semidirect |
| 12. C23×Dic79 | C22 | semidirect |
| 15. #14579129 | C4 | semidirect |
| 17. C2×Dic79⋊C4 | C22 | semidirect |
| 20. C2×C22⋊Dic79 | C22 | semidirect |
| 25. C2×C4×Dic79 | C22 | semidirect |
| 26. C79⋊#95 | C22 | semidirect |
| 27. C79⋊#95 | C22 | semidirect |
| 28. C79⋊#95 | C22 | semidirect |
| 30. C2×C4⋊C4×C79 | C22 | semidirect |
| 32. C2×C22⋊C4×C79 | C22 | semidirect |
| 33. C2×C42×C79 | C22 | semidirect |
| 38. C23×D79 | C2×C4 | semidirect |
| 42. C2×C22⋊D79 | C2×C4 | semidirect |
| 57. C22⋊Dic79 | C2×C4 | semidirect |
| 59. (C2×D79)⋊C4 | C2×C4 | semidirect |
| 60. (C2×D79)⋊C4 | D4 | semidirect |
| 66. C2×D4×C79 | C2×C4 | semidirect |
| 142. C2×D79 | C4×D4 | semidirect |
| 158. C79 | #2358 | semidirect |
| 162. #390 | D79 | semidirect |
| 177. C2×C4⋊C4 | C2×D79 | semidirect |
| 186. C2×C22⋊C4 | C2×D79 | semidirect |
| 188. C2×C42 | C2×D79 | semidirect |
| 205. C2×D4 | C4×D79 | semidirect |