Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
394 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19099175 | C2 | semidirect |
| 3. #19098905 | C2 | semidirect |
| 4. #19098864 | C2 | semidirect |
| 5. #19098769 | C2 | semidirect |
| 7. #19098665 | C2 | semidirect |
| 8. C4×#11929613 | C2 | semidirect |
| 9. #433×C79 | C2 | semidirect |
| 13. #14579161 | C22 | semidirect |
| 15. #14579153 | C22 | semidirect |
| 18. C4×Dic158 | C22 | semidirect |
| 24. #14579095 | C22 | semidirect |
| 25. #14579093 | C22 | semidirect |
| 26. #14579086 | C22 | semidirect |
| 27. #14579086 | C22 | semidirect |
| 31. C4⋊C8×C79 | C22 | semidirect |
| 33. #97×C79 | C22 | semidirect |
| 34. C4×C8×C79 | C22 | semidirect |
| 103. C79 | #3123 | semidirect |
| 112. #433 | D79 | semidirect |
| 130. C4⋊C8 | C2×D79 | semidirect |
| 136. #97 | C2×D79 | semidirect |
| 137. C4×C8 | C2×D79 | semidirect |