Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
384 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 384 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 |
|---|---|---|
| 1. #19099298 | C2 | semidirect |
| 2. #19098945 | C2 | semidirect |
| 4. #19098778 | C2 | semidirect |
| 5. #19098775 | C2 | semidirect |
| 6. #19098763 | C2 | semidirect |
| 7. #19098760 | C2 | semidirect |
| 8. Q8×C79⋊C8 | C2 | semidirect |
| 9. C4×#11929614 | C2 | semidirect |
| 10. C4×#11929609 | C2 | semidirect |
| 11. #559×C79 | C2 | semidirect |
| 128. C79 | #3396 | semidirect |
| 130. #559 | D79 | semidirect |