Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
740 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 740 conjugacy classes of subgroups — too many to draw. Only its 205 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×D316 | C2 | semidirect |
| 3. #19098466 | C2 | semidirect |
| 4. #19098464 | C2 | semidirect |
| 5. #19098442 | C2 | semidirect |
| 6. #19098439 | C2 | semidirect |
| 7. #19098428 | C2 | semidirect |
| 8. #19098409 | C2 | semidirect |
| 9. C2×C4×D4×C79 | C2 | semidirect |
| 13. #14579157 | C4 | semidirect |
| 33. C2×D316 | C2×C4 | semidirect |
| 36. C2×C22⋊D79 | C2×C4 | semidirect |
| 47. C4×Dic79 | C2×C4 | semidirect |
| 51. C2×D4×C79 | C2×C4 | semidirect |
| 60. C42×C79 | D4 | semidirect |
| 124. C79 | #2328 | semidirect |
| 127. C2×C4×D4 | D79 | semidirect |
| 164. C2×D4 | C4×D79 | semidirect |
| 184. C42 | C22⋊D79 | semidirect |