Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
612 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 2. #19098480 | C2 | semidirect |
| 3. #19098478 | C2 | semidirect |
| 4. #19098478 | C2 | semidirect |
| 5. #19098444 | C2 | semidirect |
| 6. #19098443 | C2 | semidirect |
| 7. #19098442 | C2 | semidirect |
| 8. #19098440 | C2 | semidirect |
| 9. C2×#123×C79 | C2 | semidirect |
| 149. C79 | #2709 | semidirect |
| 151. C2×#123 | D79 | semidirect |