Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
370 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 133 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×Dic158 | C2 | semidirect |
| 3. #19098960 | C2 | semidirect |
| 4. #19098959 | C2 | semidirect |
| 7. #19098846 | C2 | semidirect |
| 8. #19098687 | C2 | semidirect |
| 11. #475×C79 | C2 | semidirect |
| 49. #11929611 | Q8 | semidirect |
| 76. Q8×C79 | C2×Q8 | semidirect |
| 94. Dic158 | SD16 | semidirect |
| 97. C79⋊C8 | C2×Q8 | semidirect |
| 118. C79 | Q8×SD16 | semidirect |
| 126. #475 | D79 | semidirect |
| 198. Q8 | Q8×D79 | semidirect |