Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
232 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 12. #15692190 | C4 | semidirect |
| 13. #15692188 | C4 | semidirect |
| 14. #15692186 | C4 | semidirect |
| 18. C4×#11717579 | C4 | semidirect |
| 80. C101 | #1772 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692190 | 2 |
| #20265213 | 2 |
| #20265135 | 2 |
| #20265133 | 2 |
| C2×C4×#11717579 | 2 |
| #20264937 | 2 |
| #339×C101 | 2 |
| #1772 | 101 |