Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
216 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 71 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. M16×Dic79 | C2 | semidirect |
| 5. #19098334 | C2 | semidirect |
| 6. #19098324 | C2 | semidirect |
| 7. #430×C79 | C2 | semidirect |
| 15. #14579079 | C4 | semidirect |
| 16. #14579077 | C4 | semidirect |
| 96. C79 | #1932 | semidirect |
| 97. #430 | D79 | semidirect |