Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
408 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 408 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. #19099278 | C2 | semidirect |
| 2. #19099234 | C2 | semidirect |
| 3. #19098910 | C2 | semidirect |
| 4. #19098888 | C2 | semidirect |
| 5. #19098859 | C2 | semidirect |
| 6. #19098799 | C2 | semidirect |
| 7. #19098759 | C2 | semidirect |
| 8. #19098710 | C2 | semidirect |
| 9. C4×#11929613 | C2 | semidirect |
| 10. #19098560 | C2 | semidirect |
| 11. C8×D4×C79 | C2 | semidirect |
| 133. C79 | #3305 | semidirect |
| 143. C8×D4 | D79 | semidirect |