Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
250 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 250 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
| 2. #19098910 | C2 | semidirect |
| 3. #19098763 | C2 | semidirect |
| 5. #19098308 | C2 | semidirect |
| 6. #19098292 | C2 | semidirect |
| 7. Q8⋊C8×C79 | C2 | semidirect |
| 54. Q8×C79 | D8 | semidirect |
| 68. D316 | SD16 | semidirect |
| 100. C79 | #1627 | semidirect |
| 106. Q8⋊C8 | D79 | semidirect |
| 157. Q8 | D632 | semidirect |