Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
532 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 141 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. #19099113 | C2 | semidirect |
| 2. C2×#14579158 | C2 | semidirect |
| 3. #19098940 | C2 | semidirect |
| 4. #19098910 | C2 | semidirect |
| 5. #19098759 | C2 | semidirect |
| 6. #19098699 | C2 | semidirect |
| 7. #431×C79 | C2 | semidirect |
| 12. C2×D632 | C22 | semidirect |
| 13. #14579161 | C22 | semidirect |
| 18. #14579158 | C22 | semidirect |
| 23. C4×D316 | C22 | semidirect |
| 24. #14579083 | C22 | semidirect |
| 26. C4⋊C8×C79 | C22 | semidirect |
| 28. C4×C8×C79 | C22 | semidirect |
| 67. C2×C4×C79 | D8 | semidirect |
| 113. C79 | #3205 | semidirect |
| 120. #431 | D79 | semidirect |
| 138. C4⋊C8 | C2×D79 | semidirect |
| 141. C4×C8 | C2×D79 | semidirect |
| 193. C2×C4 | D632 | semidirect |