Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
472 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
| 3. #19099134 | C2 | semidirect |
| 4. #19098821 | C2 | semidirect |
| 5. #19098809 | C2 | semidirect |
| 6. #19098804 | C2 | semidirect |
| 7. #19098792 | C2 | semidirect |
| 8. #19098605 | C2 | semidirect |
| 9. #19098560 | C2 | semidirect |
| 10. C2×#14579086 | C2 | semidirect |
| 11. C2×#131×C79 | C2 | semidirect |
| 79. M16×C79 | D4 | semidirect |
| 144. C79 | #3063 | semidirect |
| 146. C2×#131 | D79 | semidirect |
| 210. M16 | C22⋊D79 | semidirect |