Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
460 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 127 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×Q16×D79 | C2 | semidirect |
| 4. #19098820 | C2 | semidirect |
| 5. #19098819 | C2 | semidirect |
| 6. #19098805 | C2 | semidirect |
| 7. #19098804 | C2 | semidirect |
| 8. #19098801 | C2 | semidirect |
| 9. #19098600 | C2 | semidirect |
| 10. #19098570 | C2 | semidirect |
| 11. #467×C79 | C2 | semidirect |
| 138. C79 | #3059 | semidirect |
| 147. #467 | D79 | semidirect |