Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
484 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 143 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×#14579192 | C2 | semidirect |
| 3. C2×Q8×Dic79 | C2 | semidirect |
| 4. #19098787 | C2 | semidirect |
| 5. #19098783 | C2 | semidirect |
| 6. #19098771 | C2 | semidirect |
| 7. #19098761 | C2 | semidirect |
| 8. #19098586 | C2 | semidirect |
| 9. #19098565 | C2 | semidirect |
| 10. #19098564 | C2 | semidirect |
| 11. C2×#137×C79 | C2 | semidirect |
| 80. C2×Q8×C79 | D4 | semidirect |
| 150. Dic79 | #137 | semidirect |
| 158. C79 | #3037 | semidirect |
| 160. C2×#137 | D79 | semidirect |
| 210. C2×Q8 | C22⋊D79 | semidirect |