Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
390 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 390 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. C2×Q8×Dic79 | C2 | semidirect |
| 3. #19098891 | C2 | semidirect |
| 5. #19098872 | C2 | semidirect |
| 6. #19098787 | C2 | semidirect |
| 8. Q16×Dic79 | C2 | semidirect |
| 9. #19098648 | C2 | semidirect |
| 10. #19098613 | C2 | semidirect |
| 11. #451×C79 | C2 | semidirect |
| 132. C79 | #3108 | semidirect |
| 139. #451 | D79 | semidirect |