Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
484 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 131 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×#14579180 | C2 | semidirect |
| 2. #19099212 | C2 | semidirect |
| 3. #19098941 | C2 | semidirect |
| 4. #19098804 | C2 | semidirect |
| 5. #19098801 | C2 | semidirect |
| 6. #19098766 | C2 | semidirect |
| 7. #19098725 | C2 | semidirect |
| 8. #19098722 | C2 | semidirect |
| 9. D8×Dic79 | C2 | semidirect |
| 10. C8×C22⋊D79 | C2 | semidirect |
| 11. C2×#135×C79 | C2 | semidirect |
| 76. D8×C79 | D4 | semidirect |
| 129. Dic79 | #135 | semidirect |
| 137. C79 | #3283 | semidirect |
| 139. C2×#135 | D79 | semidirect |
| 198. D8 | C22⋊D79 | semidirect |