Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
342 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19098965 | C2 | semidirect |
| 3. #19098902 | C2 | semidirect |
| 4. #19098892 | C2 | semidirect |
| 5. #19098870 | C2 | semidirect |
| 6. #19098801 | C2 | semidirect |
| 7. #19098801 | C2 | semidirect |
| 9. #19098600 | C2 | semidirect |
| 10. #107×D79 | C2 | semidirect |
| 11. C4×Q16×C79 | C2 | semidirect |
| 115. C79 | #3336 | semidirect |
| 123. C4×Q16 | D79 | semidirect |