Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
230 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 4. C2×C8×Dic103 | C2 | semidirect |
| 5. #20267555 | C2 | semidirect |
| 6. #20267550 | C2 | semidirect |
| 7. #424×C103 | C2 | semidirect |
| 13. #15692944 | C4 | semidirect |
| 14. #15692941 | C4 | semidirect |
| 91. C103 | #1937 | semidirect |
| 92. #424 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692947 | 2 |
| #20267785 | 2 |
| #20267757 | 2 |
| C2×C8×Dic103 | 2 |
| #20267555 | 2 |
| #20267550 | 2 |
| #424×C103 | 2 |
| #1937 | 103 |