Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
292 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 3. #20265132 | C2 | semidirect |
| 4. C2×#15692165 | C2 | semidirect |
| 5. #20264941 | C2 | semidirect |
| 6. #20264938 | C2 | semidirect |
| 12. #15692182 | C4 | semidirect |
| 13. #15692179 | C4 | semidirect |
| 14. #15692176 | C4 | semidirect |
| 20. #131×C101 | C4 | semidirect |
| 99. C101 | #1765 | semidirect |
| 109. #131 | Dic101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692182 | 2 |
| #20265173 | 2 |
| #20265132 | 2 |
| C2×#15692165 | 2 |
| #20264941 | 2 |
| #20264938 | 2 |
| C2×#131×C101 | 2 |
| #1765 | 101 |