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. #19099228 | C2 | semidirect |
| 3. #19098970 | C2 | semidirect |
| 4. #19098862 | C2 | semidirect |
| 5. #19098852 | C2 | semidirect |
| 6. #19098850 | C2 | semidirect |
| 7. #19098840 | C2 | semidirect |
| 8. #19098693 | C2 | semidirect |
| 11. #498×C79 | C2 | semidirect |
| 50. D632 | Q8 | semidirect |
| 89. D316 | C2×Q8 | semidirect |
| 97. C8×C79 | C2×Q8 | semidirect |
| 122. C79 | #3384 | semidirect |
| 126. #498 | D79 | semidirect |
| 220. C8 | Q8×D79 | semidirect |