Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
416 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 137 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×#14579160 | C2 | semidirect |
| 3. #19098857 | C2 | semidirect |
| 4. #19098852 | C2 | semidirect |
| 5. #19098847 | C2 | semidirect |
| 6. #19098842 | C2 | semidirect |
| 7. #19098606 | C2 | semidirect |
| 8. #19098586 | C2 | semidirect |
| 11. #428×C79 | C2 | semidirect |
| 44. #11929624 | Q8 | semidirect |
| 104. D316 | C2×Q8 | semidirect |
| 111. Dic158 | C2×Q8 | semidirect |
| 139. C79 | #3079 | semidirect |
| 147. #428 | D79 | semidirect |