Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
582 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 582 conjugacy classes of subgroups — too many to draw. Only its 165 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 |
|---|---|---|
| 1. C2×#14579155 | C2 | semidirect |
| 2. #19098454 | C2 | semidirect |
| 3. #19098447 | C2 | semidirect |
| 5. #19098436 | C2 | semidirect |
| 6. #19098431 | C2 | semidirect |
| 7. C22×C42×C79 | C2 | semidirect |
| 40. C42×C79 | D4 | semidirect |
| 65. C22×C79 | #126 | semidirect |
| 83. C79 | #2852 | semidirect |
| 85. C22×C42 | D79 | semidirect |
| 123. C42 | C22⋊D79 | semidirect |
| 151. C22 | #14579155 | semidirect |