Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
1224 conjugacy classes of subgroups; only the 277 normal subgroups are shown.
This group has 1224 conjugacy classes of subgroups — too many to draw. Only its 277 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×C4×C22⋊D79 | C2 | semidirect |
| 3. #19098442 | C2 | semidirect |
| 4. #19098436 | C2 | semidirect |
| 5. #19098419 | C2 | semidirect |
| 6. C4×C22⋊Dic79 | C2 | semidirect |
| 7. C24×C4×C79 | C2 | semidirect |
| 9. C22×C4×D79 | C22 | semidirect |
| 10. #14579130 | C4 | direct (N × H) |
| 12. C2×Dic79⋊C4 | C22 | semidirect |
| 16. C2×(C2×D79)⋊C4 | C22 | semidirect |
| 17. C2×C4×Dic79 | C22 | semidirect |
| 18. C79⋊#95 | C22 | semidirect |
| 26. C2×C22⋊D79 | C2×C4 | semidirect |
| 34. C22⋊Dic79 | C2×C4 | semidirect |
| 39. C24×C79 | C2×C4 | semidirect |
| 45. C22×C4×C79 | D4 | semidirect |
| 59. C22×D79 | C22×C4 | semidirect |
| 71. C2×Dic79 | C22×C4 | semidirect |
| 78. C22×C79 | C4×D4 | semidirect |
| 86. C4×C79 | #120 | semidirect |
| 96. C79 | C4×#120 | semidirect |
| 97. C24×C4 | D79 | semidirect |
| 122. C24 | C4×D79 | semidirect |
| 135. C22×C4 | C22⋊D79 | semidirect |
| 177. C22 | C4×C22⋊D79 | semidirect |
| 185. C4 | #14579130 | direct (N × H) |