Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
564 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 173 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×#11929612 | C2 | semidirect |
| 2. C23×C79⋊C8 | C2 | semidirect |
| 3. C2×#14579140 | C2 | semidirect |
| 4. #19098790 | C2 | direct (N × H) |
| 5. C2×#14579092 | C2 | semidirect |
| 6. C2×#14579084 | C2 | semidirect |
| 7. C2×#14579082 | C2 | semidirect |
| 11. C2×#11929612 | C22 | semidirect |
| 15. C22×C79⋊C8 | C22 | semidirect |
| 17. #14579140 | C22 | semidirect |
| 21. #14579092 | C22 | semidirect |
| 22. #14579084 | C22 | semidirect |
| 23. #14579082 | C22 | semidirect |
| 40. C2×C79⋊C8 | D4 | semidirect |
| 71. C23×C79 | SD16 | semidirect |
| 97. C79⋊C8 | C2×D4 | semidirect |
| 107. C22×C79 | C2×SD16 | semidirect |
| 119. C2×C79 | #465 | semidirect |
| 124. C79 | C2×#465 | semidirect |
| 195. C23 | #11929612 | semidirect |
| 231. C22 | C2×#11929612 | semidirect |
| 243. C2 | #19098790 | direct (N × H) |