Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
872 conjugacy classes of subgroups; only the 237 normal subgroups are shown.
This group has 872 conjugacy classes of subgroups — too many to draw. Only its 237 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. C2×C4×Dic158 | C2 | semidirect |
| 3. #19098465 | C2 | semidirect |
| 4. #19098463 | C2 | semidirect |
| 5. #19098423 | C2 | semidirect |
| 6. #19098422 | C2 | semidirect |
| 7. #19098410 | C2 | semidirect |
| 8. C4×C22⋊C4×C79 | C2 | semidirect |
| 10. C2×#11929624 | C4 | semidirect |
| 76. C2×C4×C79 | #41 | semidirect |
| 85. Dic158 | C22⋊C4 | semidirect |
| 115. C79 | #2341 | semidirect |
| 123. C4×C22⋊C4 | D79 | semidirect |
| 200. C2×C4 | #11929624 | semidirect |