Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
326 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 73 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. #19098527 | C2 | semidirect |
| 3. #19098296 | C2 | semidirect |
| 4. #381×C79 | C2 | semidirect |
| 5. C22×D316 | C4 | semidirect |
| 10. #14579135 | C4 | semidirect |
| 12. C2×C4⋊Dic79 | C4 | semidirect |
| 15. C22⋊(C79⋊C8) | C22 | semidirect |
| 19. #95×C79 | C22 | semidirect |
| 103. C79 | #1510 | semidirect |
| 106. #381 | D79 | semidirect |
| 122. #95 | C2×D79 | semidirect |