Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
308 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 65 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. #19098909 | C2 | semidirect |
| 2. #19098843 | C2 | semidirect |
| 3. #19098768 | C2 | semidirect |
| 4. #19098307 | C2 | semidirect |
| 5. D4⋊(C79⋊C8) | C2 | semidirect |
| 6. D4⋊(C79⋊C8) | C2 | semidirect |
| 9. #14579161 | C22 | semidirect |
| 11. C4⋊(C79⋊C8) | C22 | semidirect |
| 12. C4⋊(C79⋊C8) | C22 | semidirect |
| 16. C4×C79⋊C8 | C22 | semidirect |
| 68. D4×C79 | SD16 | semidirect |
| 110. C79 | #1639 | semidirect |
| 180. D4 | #11929612 | semidirect |