Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
350 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 117 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. Q8×Dic158 | C2 | semidirect |
| 3. #19098924 | C2 | semidirect |
| 5. #19098858 | C2 | semidirect |
| 6. #19098842 | C2 | semidirect |
| 7. #19098787 | C2 | semidirect |
| 9. #19098693 | C2 | semidirect |
| 10. #19098666 | C2 | semidirect |
| 11. C4×Q16×C79 | C2 | semidirect |
| 119. C79 | #3375 | semidirect |
| 130. C4×Q16 | D79 | semidirect |