Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
420 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 139 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. D4×Dic206 | C2 | semidirect |
| 2. #20268143 | C2 | semidirect |
| 3. #20268121 | C2 | semidirect |
| 4. #20268073 | C2 | semidirect |
| 5. #20268018 | C2 | semidirect |
| 6. #20267996 | C2 | semidirect |
| 7. #20267929 | C2 | semidirect |
| 8. C4×#13110093 | C2 | semidirect |
| 9. D4×C103⋊C8 | C2 | semidirect |
| 10. C2×#15692944 | C2 | semidirect |
| 83. D4×C103 | SD16 | semidirect |
| 102. Dic206 | #41 | semidirect |
| 129. C103 | #3298 | semidirect |
| 217. D4 | #13110093 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×Dic206 | 2 |
| #20268143 | 2 |
| #20268121 | 2 |
| #20268073 | 2 |
| #20268018 | 2 |
| #20267996 | 2 |
| #20267929 | 2 |
| C4×#13110093 | 2 |
| D4×C103⋊C8 | 2 |
| C2×#15692944 | 2 |
| #547×C103 | 2 |
| #3298 | 103 |