Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
374 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 374 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. #19098845 | C2 | semidirect |
| 5. #19098819 | C2 | semidirect |
| 6. #19098773 | C2 | semidirect |
| 7. #19098718 | C2 | semidirect |
| 8. C4×#11929614 | C2 | semidirect |
| 10. #19098571 | C2 | semidirect |
| 122. C79 | #3328 | semidirect |