Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
222 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 61 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. #19098617 | C2 | semidirect |
| 3. #19098427 | C2 | semidirect |
| 4. #19098300 | C2 | semidirect |
| 7. #328×C79 | C2 | semidirect |
| 9. #14579152 | C4 | semidirect |
| 10. #14579150 | C4 | semidirect |
| 13. Q8×Dic79 | C4 | semidirect |
| 14. #14579123 | C4 | semidirect |
| 109. C79 | #1512 | semidirect |
| 114. #328 | D79 | semidirect |