Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
420 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 420 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. #19099218 | C2 | semidirect |
| 2. #19098915 | C2 | semidirect |
| 3. #19098898 | C2 | semidirect |
| 4. #19098840 | C2 | semidirect |
| 5. #19098807 | C2 | semidirect |
| 6. #19098768 | C2 | semidirect |
| 7. #19098706 | C2 | semidirect |
| 8. C4×#11929609 | C2 | semidirect |
| 9. #19098641 | C2 | semidirect |
| 10. #19098562 | C2 | semidirect |
| 11. #547×C79 | C2 | semidirect |
| 99. D316 | #41 | semidirect |
| 133. C79 | #3330 | semidirect |
| 135. #547 | D79 | semidirect |