Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
392 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 125 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. Q8×Dic158 | C2 | semidirect |
| 3. #19098910 | C2 | semidirect |
| 4. #19098908 | C2 | semidirect |
| 5. #19098853 | C2 | semidirect |
| 6. #19098852 | C2 | semidirect |
| 7. #19098763 | C2 | semidirect |
| 8. #19098761 | C2 | semidirect |
| 9. C8×Dic158 | C2 | semidirect |
| 10. #19098648 | C2 | semidirect |
| 11. C4×SD16×C79 | C2 | semidirect |
| 77. Q8×C79 | #41 | semidirect |
| 99. Dic158 | SD16 | semidirect |
| 126. C79 | #3362 | semidirect |
| 137. C4×SD16 | D79 | semidirect |
| 206. Q8 | #11929624 | semidirect |