Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
320 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 2. #19098586 | C2 | semidirect |
| 3. C2×#14579089 | C2 | semidirect |
| 4. C2×#14579088 | C2 | semidirect |
| 5. C2×#14579087 | C2 | semidirect |
| 6. #19098409 | C2 | semidirect |
| 7. C2×#104×C79 | C2 | semidirect |
| 10. #14579159 | C4 | semidirect |
| 11. #14579157 | C4 | semidirect |
| 12. #14579150 | C4 | semidirect |
| 13. #14579148 | C4 | semidirect |
| 48. C4×Dic79 | D4 | semidirect |
| 63. C42×C79 | D4 | semidirect |
| 126. C79 | #1963 | semidirect |
| 132. C2×#104 | D79 | semidirect |
| 189. C42 | C22⋊D79 | semidirect |