Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
374 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19099274 | C2 | semidirect |
| 2. D4×Dic158 | C2 | semidirect |
| 3. #19098970 | C2 | semidirect |
| 4. #19098959 | C2 | semidirect |
| 5. #19098861 | C2 | semidirect |
| 6. #19098852 | C2 | semidirect |
| 7. #19098844 | C2 | semidirect |
| 8. #19098690 | C2 | semidirect |
| 11. #476×C79 | C2 | semidirect |
| 49. #11929609 | Q8 | semidirect |
| 90. D316 | C2×Q8 | semidirect |
| 98. C79⋊C8 | C2×Q8 | semidirect |
| 122. C79 | #3384 | semidirect |
| 129. #476 | D79 | semidirect |