Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
576 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 173 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. #19098453 | C2 | semidirect |
| 4. #19098448 | C2 | semidirect |
| 5. #19098441 | C2 | semidirect |
| 6. #19098439 | C2 | semidirect |
| 7. #19098434 | C2 | semidirect |
| 8. #19098426 | C2 | semidirect |
| 9. #380×C79 | C2 | semidirect |
| 13. #14579135 | C4 | semidirect |
| 37. C2×C22⋊D79 | C2×C4 | semidirect |
| 44. C4⋊Dic79 | C2×C4 | semidirect |
| 50. (C2×D79)⋊C4 | C2×C4 | semidirect |
| 54. C22×C4×C79 | C2×C4 | semidirect |
| 130. C79 | #2377 | semidirect |
| 139. #380 | D79 | semidirect |
| 176. C22×C4 | C4×D79 | semidirect |