Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
426 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 139 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. #19099235 | C2 | semidirect |
| 2. Q8×D316 | C2 | semidirect |
| 3. #19098910 | C2 | semidirect |
| 4. #19098844 | C2 | semidirect |
| 5. #19098759 | C2 | semidirect |
| 6. C4×D632 | C2 | semidirect |
| 7. C8×Q8×C79 | C2 | semidirect |
| 46. Q8×C79 | D8 | semidirect |
| 57. D316 | #41 | semidirect |
| 82. C79 | #3358 | semidirect |
| 88. C8×Q8 | D79 | semidirect |
| 129. Q8 | D632 | semidirect |