Finite Group DatabasebetaFinite Group DatabasebetaOrder 10432.
152 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 39 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 |
|---|---|---|
| 2. #19104768 | C2 | semidirect |
| 3. #19104765 | C2 | semidirect |
| 4. #19104723 | C2 | semidirect |
| 5. #19104663 | C2 | semidirect |
| 6. #19104651 | C2 | semidirect |
| 7. #104×C163 | C2 | semidirect |
| 11. C2×Dic326 | C22 | semidirect |
| 20. #14579683 | C22 | semidirect |
| 23. M16×C163 | C22 | semidirect |
| 24. C42×C163 | C22 | semidirect |
| 64. C163 | #455 | semidirect |
| 71. #104 | D163 | semidirect |
| 87. M16 | C2×D163 | semidirect |
| 89. C42 | C2×D163 | semidirect |