Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
484 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 135 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×#14579194 | C2 | semidirect |
| 2. C2×#14579191 | C2 | semidirect |
| 4. C2×#14579126 | C2 | semidirect |
| 5. #19098788 | C2 | semidirect |
| 6. #19098784 | C2 | semidirect |
| 7. #19098772 | C2 | semidirect |
| 8. #19098762 | C2 | semidirect |
| 9. #19098586 | C2 | semidirect |
| 10. #19098562 | C2 | semidirect |
| 11. #417×C79 | C2 | semidirect |
| 49. C2×Dic158 | D4 | semidirect |
| 150. Dic79 | #137 | semidirect |
| 158. C79 | #3037 | semidirect |
| 169. #417 | D79 | semidirect |