Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
564 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 181 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. C22×Dic316 | C2 | semidirect |
| 3. C2×#14579161 | C2 | semidirect |
| 5. #19098957 | C2 | direct (N × H) |
| 6. C2×#97×C79 | C2 | semidirect |
| 11. C2×Dic316 | C22 | semidirect |
| 15. #14579161 | C22 | semidirect |
| 22. #97×C79 | C22 | semidirect |
| 78. C2×C79 | #497 | semidirect |
| 83. C79 | C2×#497 | semidirect |
| 89. C2×#97 | D79 | semidirect |
| 105. #97 | C2×D79 | semidirect |
| 162. C2 | #19098957 | direct (N × H) |