Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
484 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 484 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. #19099120 | C2 | semidirect |
| 3. #19098928 | C2 | semidirect |
| 4. #19098910 | C2 | semidirect |
| 5. #19098569 | C2 | semidirect |
| 6. C4×M16×C79 | C2 | semidirect |
| 9. #14579161 | C22 | semidirect |
| 13. #14579153 | C22 | semidirect |
| 17. #14579083 | C22 | semidirect |
| 20. #97×C79 | C22 | semidirect |
| 21. C4×C8×C79 | C22 | semidirect |
| 75. C79 | #3138 | semidirect |
| 81. C4×M16 | D79 | semidirect |
| 95. #97 | C2×D79 | semidirect |
| 96. C4×C8 | C2×D79 | semidirect |