Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
430 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19099234 | C2 | semidirect |
| 2. #19098911 | C2 | semidirect |
| 3. #19098881 | C2 | semidirect |
| 4. #19098845 | C2 | semidirect |
| 5. #19098814 | C2 | semidirect |
| 6. #19098758 | C2 | semidirect |
| 7. #19098706 | C2 | semidirect |
| 8. C4×#11929612 | C2 | semidirect |
| 9. #19098641 | C2 | semidirect |
| 10. #19098562 | C2 | semidirect |
| 11. #547×C79 | C2 | semidirect |
| 105. Dic158 | #41 | semidirect |
| 135. C79 | #3332 | semidirect |
| 137. #547 | D79 | semidirect |