Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
256 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 2. #19098936 | C2 | semidirect |
| 3. #19098858 | C2 | semidirect |
| 4. #19098854 | C2 | semidirect |
| 5. #19098306 | C2 | semidirect |
| 6. #19098292 | C2 | semidirect |
| 7. Q8⋊C8×C79 | C2 | semidirect |
| 53. Q8×C79 | SD16 | semidirect |
| 99. C79 | #1631 | semidirect |
| 105. Q8⋊C8 | D79 | semidirect |
| 153. Q8 | #11929613 | semidirect |