Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
420 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 420 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 |
|---|---|---|
| 2. C2×#14579119 | C2 | semidirect |
| 3. #19098906 | C2 | semidirect |
| 4. #19098899 | C2 | semidirect |
| 5. #19098893 | C2 | semidirect |
| 6. #19098885 | C2 | semidirect |
| 7. #19098879 | C2 | semidirect |
| 8. #19098600 | C2 | semidirect |
| 9. #19098556 | C2 | semidirect |
| 10. C22⋊C8×D79 | C2 | semidirect |
| 11. #480×C79 | C2 | semidirect |
| 30. #14579095 | C22 | semidirect |
| 31. #14579092 | C22 | semidirect |
| 32. #14579092 | C22 | semidirect |
| 33. #14579086 | C22 | semidirect |
| 34. #14579084 | C22 | semidirect |
| 35. #14579082 | C22 | semidirect |
| 40. #107×C79 | C22 | semidirect |
| 41. #102×C79 | C22 | semidirect |
| 144. C79 | #3091 | semidirect |
| 152. #480 | D79 | semidirect |
| 177. #107 | C2×D79 | semidirect |
| 183. #102 | C2×D79 | semidirect |