Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
312 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 87 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. #19098586 | C2 | semidirect |
| 5. C4×Dic79⋊C4 | C2 | semidirect |
| 6. #19098322 | C2 | semidirect |
| 7. #339×C79 | C2 | semidirect |
| 10. #14579126 | C4 | semidirect |
| 11. #14579126 | C4 | semidirect |
| 12. #14579123 | C4 | semidirect |
| 13. #14579123 | C4 | semidirect |
| 95. D316 | C4⋊C4 | semidirect |
| 101. Dic158 | C4⋊C4 | semidirect |
| 124. Dic79 | #104 | semidirect |
| 132. C79 | #1806 | semidirect |
| 139. #339 | D79 | semidirect |