Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
216 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 216 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 |
|---|---|---|
| 1. #19099003 | C2 | semidirect |
| 2. C2×#14579105 | C2 | semidirect |
| 3. #19098838 | C2 | semidirect |
| 4. #19098376 | C2 | semidirect |
| 5. #19098370 | C2 | semidirect |
| 6. #19098347 | C2 | semidirect |
| 9. C2×Dic316 | C22 | semidirect |
| 13. #14579101 | C22 | semidirect |
| 14. C2×C79⋊C16 | C22 | semidirect |
| 15. #14579097 | C22 | semidirect |
| 92. C79 | #2194 | semidirect |