Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
446 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 137 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×#14579192 | C2 | semidirect |
| 3. #19099329 | C2 | semidirect |
| 4. #19098835 | C2 | semidirect |
| 5. #19098823 | C2 | semidirect |
| 6. #19098612 | C2 | semidirect |
| 7. #19098547 | C2 | semidirect |
| 8. C2×#14579080 | C2 | semidirect |
| 9. C2×#137×C79 | C2 | semidirect |
| 26. #14579097 | C22 | semidirect |
| 27. #14579080 | C22 | semidirect |
| 28. #14579080 | C22 | semidirect |
| 29. #14579078 | C22 | semidirect |
| 34. C2×Q16×C79 | C22 | semidirect |
| 35. C2×SD16×C79 | C22 | semidirect |
| 143. C79 | #3069 | semidirect |
| 146. C2×#137 | D79 | semidirect |
| 166. C2×Q16 | C2×D79 | semidirect |
| 168. C2×SD16 | C2×D79 | semidirect |