Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 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. Q8×D316 | C2 | semidirect |
| 3. #19098914 | C2 | semidirect |
| 4. #19098895 | C2 | semidirect |
| 5. #19098848 | C2 | semidirect |
| 6. #19098791 | C2 | semidirect |
| 7. #19098768 | C2 | semidirect |
| 8. #19098700 | C2 | semidirect |
| 9. C8×D316 | C2 | semidirect |
| 10. #103×D79 | C2 | semidirect |
| 11. C4×SD16×C79 | C2 | semidirect |
| 80. Q8×C79 | #41 | semidirect |
| 94. D316 | SD16 | semidirect |
| 129. C79 | #3298 | semidirect |
| 138. C4×SD16 | D79 | semidirect |
| 213. Q8 | #11929624 | semidirect |