Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
284 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 4. #19098518 | C2 | semidirect |
| 5. #19098335 | C2 | semidirect |
| 6. #19098333 | C2 | semidirect |
| 7. #405×C79 | C2 | semidirect |
| 15. C2×#11929607 | C4 | semidirect |
| 16. C2×C8×D79 | C4 | semidirect |
| 18. #14579079 | C4 | semidirect |
| 19. #14579077 | C4 | semidirect |
| 107. C79 | #1757 | semidirect |
| 112. #405 | D79 | semidirect |