Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 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. C2×#14579181 | C2 | semidirect |
| 2. #19099234 | C2 | semidirect |
| 3. #19098939 | C2 | semidirect |
| 4. #19098797 | C2 | semidirect |
| 5. #19098763 | C2 | semidirect |
| 6. #19098760 | C2 | semidirect |
| 7. #19098708 | C2 | semidirect |
| 8. #19098706 | C2 | semidirect |
| 9. C4×#11929614 | C2 | semidirect |
| 10. D4×C79⋊C8 | C2 | semidirect |
| 11. #550×C79 | C2 | semidirect |
| 51. #11929614 | D4 | semidirect |
| 131. C4×C79 | #135 | semidirect |
| 143. C79 | #3287 | semidirect |
| 146. #550 | D79 | semidirect |
| 276. C4 | #14579181 | semidirect |