Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14579189 | C2 | semidirect |
| 2. C22×D632 | C2 | semidirect |
| 3. C2×#14579167 | C2 | semidirect |
| 4. #19098834 | C2 | direct (N × H) |
| 5. C2×#14579077 | C2 | semidirect |
| 6. C2×#108×C79 | C2 | semidirect |
| 10. #14579189 | C22 | semidirect |
| 16. C2×D632 | C22 | semidirect |
| 18. #14579167 | C22 | semidirect |
| 22. #14579077 | C22 | semidirect |
| 25. #108×C79 | C22 | semidirect |
| 104. C2×C79 | #472 | semidirect |
| 109. C79 | C2×#472 | semidirect |
| 114. C2×#108 | D79 | semidirect |
| 133. #108 | C2×D79 | semidirect |
| 215. C2 | #19098834 | direct (N × H) |