Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
218 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 69 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. #19098431 | C2 | semidirect |
| 3. #19098301 | C2 | semidirect |
| 5. #431×C79 | C2 | semidirect |
| 7. #14579153 | C4 | semidirect |
| 8. #14579149 | C4 | semidirect |
| 12. C4×Dic158 | C4 | semidirect |
| 13. C4×D316 | C4 | semidirect |
| 93. C79 | #1521 | semidirect |
| 95. #431 | D79 | semidirect |