Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
374 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19099273 | C2 | semidirect |
| 2. Q8×D316 | C2 | semidirect |
| 3. #19098972 | C2 | semidirect |
| 4. #19098961 | C2 | semidirect |
| 5. #19098864 | C2 | semidirect |
| 6. #19098854 | C2 | semidirect |
| 7. #19098854 | C2 | semidirect |
| 8. #19098844 | C2 | semidirect |
| 11. #446×C79 | C2 | semidirect |
| 51. D632 | Q8 | semidirect |
| 88. D316 | C2×Q8 | semidirect |
| 98. C8×C79 | C2×Q8 | semidirect |
| 122. C79 | #3384 | semidirect |
| 131. #446 | D79 | semidirect |
| 220. C8 | Q8×D79 | semidirect |