Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
596 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 181 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. #19098463 | C2 | semidirect |
| 3. #19098454 | C2 | semidirect |
| 4. #19098446 | C2 | semidirect |
| 5. #19098441 | C2 | semidirect |
| 6. #19098439 | C2 | semidirect |
| 7. #19098426 | C2 | semidirect |
| 8. C4×(C2×D79)⋊C4 | C2 | semidirect |
| 9. C4×C22⋊C4×C79 | C2 | semidirect |
| 13. #14579135 | C4 | semidirect |
| 38. C2×C22⋊D79 | C2×C4 | semidirect |
| 45. C4⋊Dic79 | C2×C4 | semidirect |
| 52. (C2×D79)⋊C4 | C2×C4 | semidirect |
| 57. C22×C4×C79 | C2×C4 | semidirect |
| 135. C79 | #2333 | semidirect |
| 144. C4×C22⋊C4 | D79 | semidirect |
| 183. C22×C4 | C4×D79 | semidirect |