Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
526 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 526 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. #19098501 | C2 | semidirect |
| 3. #19098498 | C2 | semidirect |
| 4. #19098494 | C2 | semidirect |
| 5. #19098489 | C2 | semidirect |
| 7. #19098436 | C2 | semidirect |
| 8. #19098426 | C2 | semidirect |
| 9. C22×C4⋊C4×C79 | C2 | semidirect |
| 108. C79 | #2623 | semidirect |
| 110. C22×C4⋊C4 | D79 | semidirect |