Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
472 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#14579193 | C2 | semidirect |
| 2. #19099228 | C2 | semidirect |
| 4. #19098818 | C2 | semidirect |
| 5. #19098770 | C2 | semidirect |
| 6. #19098765 | C2 | semidirect |
| 7. #19098724 | C2 | semidirect |
| 8. #19098717 | C2 | semidirect |
| 9. C4×#11929613 | C2 | semidirect |
| 10. #19098642 | C2 | semidirect |
| 11. #494×C79 | C2 | semidirect |
| 56. #11929613 | D4 | semidirect |
| 122. C4×C79 | #137 | semidirect |
| 135. C79 | #3276 | semidirect |
| 139. #494 | D79 | semidirect |
| 261. C4 | #14579193 | semidirect |