Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
154 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 49 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. #19099003 | C2 | semidirect |
| 3. #19098947 | C2 | semidirect |
| 4. #19098384 | C2 | semidirect |
| 5. #19098378 | C2 | semidirect |
| 6. #19098375 | C2 | semidirect |
| 7. #443×C79 | C2 | semidirect |
| 75. C79 | #2212 | semidirect |
| 79. #443 | D79 | semidirect |