Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
224 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 65 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. M32×D79 | C2 | semidirect |
| 3. #19098598 | C2 | semidirect |
| 4. #19098374 | C2 | semidirect |
| 5. #19098373 | C2 | semidirect |
| 6. #19098372 | C2 | semidirect |
| 7. #360×C79 | C2 | semidirect |
| 9. #14579184 | C4 | semidirect |
| 13. #14579180 | C4 | semidirect |
| 14. Q16×D79 | C4 | semidirect |
| 16. D8×D79 | C4 | semidirect |
| 19. #14579101 | C22 | semidirect |
| 23. #14579093 | C22 | semidirect |
| 25. M32×C79 | C22 | semidirect |
| 26. #106×C79 | C22 | semidirect |
| 111. C79 | #2145 | semidirect |
| 118. #360 | D79 | semidirect |
| 133. M32 | C2×D79 | semidirect |
| 137. #106 | C2×D79 | semidirect |