Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
430 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19099235 | C2 | semidirect |
| 2. #19099216 | C2 | semidirect |
| 3. #19098911 | C2 | semidirect |
| 4. #19098883 | C2 | semidirect |
| 5. #19098817 | C2 | semidirect |
| 6. #19098759 | C2 | semidirect |
| 7. #19098711 | C2 | semidirect |
| 8. C4×#11929611 | C2 | semidirect |
| 9. #19098640 | C2 | semidirect |
| 10. #19098563 | C2 | semidirect |
| 11. #475×C79 | C2 | semidirect |
| 82. Q8×C79 | #41 | semidirect |
| 135. C79 | #3332 | semidirect |
| 140. #475 | D79 | semidirect |
| 217. Q8 | #11929625 | semidirect |