Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
372 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 372 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. #19099286 | C2 | semidirect |
| 2. #19098945 | C2 | semidirect |
| 3. #19098935 | C2 | semidirect |
| 4. #19098782 | C2 | semidirect |
| 5. #19098778 | C2 | semidirect |
| 6. #19098773 | C2 | semidirect |
| 8. Q8×C79⋊C8 | C2 | semidirect |
| 9. C4×#11929611 | C2 | semidirect |
| 10. C4×#11929612 | C2 | semidirect |
| 11. #559×C79 | C2 | semidirect |
| 126. C79 | #3394 | semidirect |
| 127. #559 | D79 | semidirect |