Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
702 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 702 conjugacy classes of subgroups — too many to draw. Only its 149 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. #19098491 | C2 | semidirect |
| 3. #19098478 | C2 | semidirect |
| 4. #19098442 | C2 | semidirect |
| 5. #19098436 | C2 | semidirect |
| 6. #19098419 | C2 | semidirect |
| 7. C22×C22⋊C4×C79 | C2 | semidirect |
| 11. C2×Dic79⋊C4 | C22 | semidirect |
| 16. C2×(C2×D79)⋊C4 | C22 | semidirect |
| 17. C79⋊#95 | C22 | semidirect |
| 18. C79⋊#95 | C22 | semidirect |
| 98. C79 | #2622 | semidirect |
| 100. C22×C22⋊C4 | D79 | semidirect |