Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
430 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 430 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. #19099217 | C2 | semidirect |
| 2. #19098909 | C2 | semidirect |
| 3. #19098879 | C2 | semidirect |
| 4. #19098848 | C2 | semidirect |
| 5. #19098814 | C2 | semidirect |
| 6. #19098755 | C2 | semidirect |
| 7. #19098708 | C2 | semidirect |
| 8. C4×#11929611 | C2 | semidirect |
| 9. #19098641 | C2 | semidirect |
| 10. #19098564 | C2 | semidirect |
| 11. #550×C79 | C2 | semidirect |
| 81. Q8×C79 | #41 | semidirect |
| 135. C79 | #3332 | semidirect |
| 136. #550 | D79 | semidirect |
| 217. Q8 | #11929623 | semidirect |