Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
334 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 121 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. C2×#14579153 | C2 | semidirect |
| 3. #19098965 | C2 | semidirect |
| 4. #19098918 | C2 | semidirect |
| 5. #19098899 | C2 | semidirect |
| 6. #19098894 | C2 | semidirect |
| 9. #19098871 | C2 | semidirect |
| 10. #19098864 | C2 | semidirect |
| 11. #431×C79 | C2 | semidirect |
| 126. C79 | #3232 | semidirect |
| 137. #431 | D79 | semidirect |