Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
738 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 157 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 |
|---|---|---|
| 1. C23×Dic158 | C2 | semidirect |
| 2. C2×#14579191 | C2 | semidirect |
| 3. #19098718 | C2 | semidirect |
| 4. #19098701 | C2 | semidirect |
| 5. #19098571 | C2 | semidirect |
| 6. #19098527 | C2 | semidirect |
| 15. C2×#11929614 | C22 | semidirect |
| 16. C2×#11929612 | C22 | semidirect |
| 18. #14579084 | C22 | semidirect |
| 34. C2×Dic158 | D4 | semidirect |
| 95. C22×C79 | #137 | semidirect |
| 109. C79 | #3004 | semidirect |
| 204. C22 | #14579191 | semidirect |