Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
360 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 360 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. #19099292 | C2 | semidirect |
| 3. #19098970 | C2 | semidirect |
| 4. #19098966 | C2 | semidirect |
| 6. #19098856 | C2 | semidirect |
| 8. #19098690 | C2 | semidirect |
| 11. #475×C79 | C2 | semidirect |
| 48. #11929611 | Q8 | semidirect |
| 76. Q8×C79 | C2×Q8 | semidirect |
| 96. C79⋊C8 | C2×Q8 | semidirect |
| 117. C79 | #3386 | semidirect |
| 124. #475 | D79 | semidirect |
| 196. Q8 | Q8×D79 | semidirect |