Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
386 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 2. #19098915 | C2 | semidirect |
| 3. #19098904 | C2 | semidirect |
| 4. #19098840 | C2 | semidirect |
| 5. #19098802 | C2 | semidirect |
| 6. #19098773 | C2 | semidirect |
| 7. #19098723 | C2 | semidirect |
| 8. C4×#11929611 | C2 | semidirect |
| 9. D4×C79⋊C8 | C2 | semidirect |
| 10. #19098557 | C2 | semidirect |
| 11. #556×C79 | C2 | semidirect |
| 126. C79 | #3302 | semidirect |
| 127. #556 | D79 | semidirect |