Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
726 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 726 conjugacy classes of subgroups — too many to draw. Only its 253 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 |
|---|---|---|
| 2. #20268274 | C2 | semidirect |
| 3. #20267801 | C2 | semidirect |
| 4. #20267793 | C2 | semidirect |
| 5. #20267788 | C2 | semidirect |
| 6. C2×#15692946 | C2 | semidirect |
| 7. C2×#131×C103 | C2 | semidirect |
| 9. #15693068 | C4 | semidirect |
| 28. #13110105 | C2×C4 | semidirect |
| 32. C2×Dic206 | C2×C4 | semidirect |
| 95. C103 | #2898 | semidirect |
| 97. C2×#131 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693068 | 2 |
| #20268274 | 2 |
| #20267801 | 2 |
| #20267793 | 2 |
| #20267788 | 2 |
| C2×#15692946 | 2 |
| C2×#131×C103 | 2 |
| #2898 | 103 |