Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
1464 conjugacy classes of subgroups; only the 565 normal subgroups are shown.
This group has 1464 conjugacy classes of subgroups — too many to draw. Only its 565 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 | direct (N × H) |
| 3. C22×#11929614 | C2 | semidirect |
| 4. C22×#11929612 | C2 | semidirect |
| 5. C22×#11929608 | C2 | semidirect |
| 10. C22×Dic158 | C22 | semidirect |
| 12. #14579191 | C22 | direct (N × H) |
| 13. C2×#11929614 | C22 | semidirect |
| 14. C2×#11929612 | C22 | semidirect |
| 15. C2×#11929608 | C22 | semidirect |
| 28. C2×Dic158 | C23 | semidirect |
| 31. #11929614 | C23 | semidirect |
| 32. #11929612 | C23 | semidirect |
| 33. #11929608 | C23 | semidirect |
| 76. C22×C79 | #137 | semidirect |
| 86. C2×C79 | C2×#137 | semidirect |
| 89. C79 | C22×#137 | semidirect |
| 165. C22 | #14579191 | direct (N × H) |
| 175. C2 | C2×#14579191 | direct (N × H) |