Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
572 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#14579192 | C2 | semidirect |
| 2. C2×#14579189 | C2 | semidirect |
| 3. C2×#14579186 | C2 | semidirect |
| 4. #19099109 | C2 | semidirect |
| 5. C2×#14579150 | C2 | semidirect |
| 6. #19098956 | C2 | semidirect |
| 7. #19098949 | C2 | semidirect |
| 8. #19098948 | C2 | semidirect |
| 9. #19098944 | C2 | semidirect |
| 10. M16×Dic79 | C2 | semidirect |
| 11. C2×#137×C79 | C2 | semidirect |
| 17. C2×#11929614 | C22 | semidirect |
| 20. C2×#11929611 | C22 | semidirect |
| 24. #14579159 | C22 | semidirect |
| 25. #14579157 | C22 | semidirect |
| 29. #14579150 | C22 | semidirect |
| 30. #14579148 | C22 | semidirect |
| 35. #14579071 | C22 | semidirect |
| 36. C8×Dic79 | C22 | semidirect |
| 40. C2×Q16×C79 | C22 | semidirect |
| 41. C2×SD16×C79 | C22 | semidirect |
| 62. #11929608 | D4 | semidirect |
| 86. M16×C79 | D4 | semidirect |
| 151. C79 | #3153 | semidirect |
| 153. C2×#137 | D79 | semidirect |
| 172. C2×Q16 | C2×D79 | semidirect |
| 176. C2×SD16 | C2×D79 | semidirect |
| 228. M16 | C22⋊D79 | semidirect |