Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 1. C2×C4×Dic206 | C2 | semidirect |
| 2. #20268124 | C2 | semidirect |
| 4. #20268095 | C2 | semidirect |
| 5. #20268010 | C2 | semidirect |
| 6. #20267946 | C2 | semidirect |
| 8. #20267896 | C2 | semidirect |
| 9. #20267891 | C2 | semidirect |
| 10. #20267848 | C2 | semidirect |
| 132. C103 | #3117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic206 | 2 |
| #20268124 | 2 |
| #20268107 | 2 |
| #20268095 | 2 |
| #20268010 | 2 |
| #20267946 | 2 |
| #20267929 | 2 |
| #20267896 | 2 |
| #20267891 | 2 |
| #20267848 | 2 |
| #529×C103 | 2 |
| #3117 | 103 |