Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
256 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 53 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. C2×#14579106 | C2 | semidirect |
| 3. C2×#14579105 | C2 | semidirect |
| 4. #19098805 | C2 | semidirect |
| 5. #19098363 | C2 | semidirect |
| 6. (C2×D79)⋊C16 | C2 | semidirect |
| 7. #357×C79 | C2 | semidirect |
| 9. C2×Dic316 | C22 | semidirect |
| 18. C2×C79⋊C16 | C22 | semidirect |
| 21. C2×C16×C79 | C22 | semidirect |
| 22. #107×C79 | C22 | semidirect |
| 79. C2×D79 | SD32 | semidirect |
| 92. C79 | #2187 | semidirect |
| 98. #357 | D79 | semidirect |
| 112. C2×C16 | C2×D79 | semidirect |
| 113. #107 | C2×D79 | semidirect |