Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
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. #15692956 | C4 | semidirect |
| 13. #15692954 | C4 | semidirect |
| 14. #15692952 | C4 | semidirect |
| 18. C4×C103⋊C8 | C4 | semidirect |
| 80. C103 | #1772 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692956 | 2 |
| #20267827 | 2 |
| #20267749 | 2 |
| #20267747 | 2 |
| C2×C4×C103⋊C8 | 2 |
| #20267551 | 2 |
| #339×C103 | 2 |
| #1772 | 103 |