Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
480 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 480 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 |
|---|---|---|
| 2. C4⋊Q8×D79 | C2 | semidirect |
| 4. #19098774 | C2 | semidirect |
| 5. #19098772 | C2 | semidirect |
| 6. #19098770 | C2 | semidirect |
| 7. #19098768 | C2 | semidirect |
| 8. #19098766 | C2 | semidirect |
| 9. #19098585 | C2 | semidirect |
| 10. #19098570 | C2 | semidirect |
| 11. #461×C79 | C2 | semidirect |
| 131. C4×C79 | #137 | semidirect |
| 139. Dic79 | #137 | semidirect |
| 146. C79 | #3039 | semidirect |
| 155. #461 | D79 | semidirect |
| 283. C4 | #14579190 | semidirect |