Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 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. #19099278 | C2 | semidirect |
| 2. #19099217 | C2 | semidirect |
| 3. #19098961 | C2 | semidirect |
| 4. #19098888 | C2 | semidirect |
| 5. #19098882 | C2 | semidirect |
| 6. #19098854 | C2 | semidirect |
| 7. #19098844 | C2 | semidirect |
| 8. #19098816 | C2 | semidirect |
| 9. C4×D632 | C2 | semidirect |
| 10. #19098605 | C2 | semidirect |
| 11. #436×C79 | C2 | semidirect |
| 101. C8×C79 | #41 | semidirect |
| 128. C79 | #3354 | semidirect |
| 138. #436 | D79 | semidirect |
| 229. C8 | #11929623 | semidirect |