Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
332 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 85 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. #20265944 | C2 | semidirect |
| 3. #20265195 | C2 | semidirect |
| 4. #20264936 | C2 | semidirect |
| 5. #410×C101 | C2 | semidirect |
| 10. #15692253 | C4 | semidirect |
| 11. #15692251 | C4 | semidirect |
| 12. #15692244 | C4 | semidirect |
| 13. #15692242 | C4 | semidirect |
| 31. #13108058 | D4 | semidirect |
| 96. C101 | #1884 | semidirect |
| 100. #410 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265944 | 2 |
| #20265723 | 2 |
| #20265195 | 2 |
| #20264936 | 2 |
| #410×C101 | 2 |
| #1884 | 101 |