Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
372 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19099283 | C2 | semidirect |
| 3. #19098944 | C2 | semidirect |
| 4. #19098936 | C2 | semidirect |
| 5. #19098788 | C2 | semidirect |
| 6. #19098777 | C2 | semidirect |
| 7. #19098773 | C2 | semidirect |
| 9. C8×Dic158 | C2 | semidirect |
| 10. #19098650 | C2 | semidirect |
| 11. C4×SD16×C79 | C2 | semidirect |
| 126. C79 | #3394 | semidirect |
| 137. C4×SD16 | D79 | semidirect |