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×#14579193 | C2 | semidirect |
| 3. C4×Q8×D79 | C2 | semidirect |
| 4. #19098788 | C2 | semidirect |
| 5. #19098787 | C2 | semidirect |
| 6. #19098770 | C2 | semidirect |
| 7. #19098764 | C2 | semidirect |
| 8. #19098763 | C2 | semidirect |
| 9. #19098585 | C2 | semidirect |
| 10. #19098563 | C2 | semidirect |
| 11. #462×C79 | C2 | semidirect |
| 49. Q8×D79 | D4 | semidirect |
| 133. C4×C79 | #137 | semidirect |
| 147. C79 | #3037 | semidirect |
| 154. #462 | D79 | semidirect |
| 285. C4 | #14579193 | semidirect |