Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
1160 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 1160 conjugacy classes of subgroups — too many to draw. Only its 269 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. C22×C22⋊Dic79 | C2 | semidirect |
| 3. #19098442 | C2 | semidirect |
| 4. #19098440 | C2 | semidirect |
| 5. #19098424 | C2 | semidirect |
| 6. #19098418 | C2 | semidirect |
| 7. C22×C22⋊C4×C79 | C2 | semidirect |
| 11. C22×C22⋊D79 | C4 | semidirect |
| 15. C23×Dic79 | C22 | semidirect |
| 18. C2×C22⋊Dic79 | C22 | semidirect |
| 19. C2×(C2×D79)⋊C4 | C22 | semidirect |
| 20. C79⋊#95 | C22 | semidirect |
| 22. C23×C4×C79 | C22 | semidirect |
| 25. C2×C22⋊C4×C79 | C22 | semidirect |
| 29. C23×D79 | C2×C4 | semidirect |
| 36. C2×C22⋊D79 | C2×C4 | semidirect |
| 37. C2×C22⋊D79 | C2×C4 | semidirect |
| 42. C22×Dic79 | C2×C4 | semidirect |
| 66. C23×C79 | C22⋊C4 | semidirect |
| 131. C79 | #2308 | semidirect |
| 134. C22×C22⋊C4 | D79 | semidirect |
| 148. C23×C4 | C2×D79 | semidirect |
| 155. C2×C22⋊C4 | C2×D79 | semidirect |
| 205. C23 | (C2×D79)⋊C4 | semidirect |