Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
332 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19098579 | C2 | semidirect |
| 3. #19098537 | C2 | semidirect |
| 4. #19098324 | C2 | semidirect |
| 5. #568×C79 | C2 | semidirect |
| 7. #14579159 | C4 | semidirect |
| 8. #14579157 | C4 | semidirect |
| 9. #14579150 | C4 | semidirect |
| 10. #14579148 | C4 | semidirect |
| 47. M16×C79 | D4 | semidirect |
| 96. C79 | #1884 | semidirect |
| 97. #568 | D79 | semidirect |
| 134. M16 | C22⋊D79 | semidirect |