Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
390 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 129 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. #19098901 | C2 | semidirect |
| 3. #19098845 | C2 | semidirect |
| 4. #19098840 | C2 | semidirect |
| 5. #19098770 | C2 | semidirect |
| 6. #19098765 | C2 | semidirect |
| 8. C4×#11929614 | C2 | semidirect |
| 9. C4×#11929611 | C2 | semidirect |
| 10. #19098616 | C2 | semidirect |
| 11. #533×C79 | C2 | semidirect |
| 137. C79 | #3107 | semidirect |
| 138. #533 | D79 | semidirect |