Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
400 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19099115 | C2 | semidirect |
| 3. #19098956 | C2 | semidirect |
| 4. #19098924 | C2 | semidirect |
| 5. #19098788 | C2 | semidirect |
| 6. #19098787 | C2 | semidirect |
| 7. #19098719 | C2 | semidirect |
| 10. #19098617 | C2 | semidirect |
| 11. #451×C79 | C2 | semidirect |
| 13. C2×#11929614 | C22 | semidirect |
| 16. #14579160 | C22 | semidirect |
| 17. #14579159 | C22 | semidirect |
| 25. Q8×Dic79 | C22 | semidirect |
| 27. #14579126 | C22 | semidirect |
| 32. Dic79⋊C8 | C22 | semidirect |
| 33. #14579085 | C22 | semidirect |
| 37. #14579071 | C22 | semidirect |
| 39. C2×Q16×C79 | C22 | semidirect |
| 41. #103×C79 | C22 | semidirect |
| 140. C79 | #3215 | semidirect |
| 148. #451 | D79 | semidirect |
| 155. C2×Q16 | C2×D79 | semidirect |
| 177. #103 | C2×D79 | semidirect |