Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
308 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 65 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. #20268137 | C2 | semidirect |
| 2. #20268071 | C2 | semidirect |
| 3. #20267996 | C2 | semidirect |
| 4. #20267535 | C2 | semidirect |
| 5. D4⋊(C103⋊C8) | C2 | semidirect |
| 6. D4⋊(C103⋊C8) | C2 | semidirect |
| 9. #15693021 | C22 | semidirect |
| 11. C4⋊(C103⋊C8) | C22 | semidirect |
| 12. C4⋊(C103⋊C8) | C22 | semidirect |
| 16. C4×C103⋊C8 | C22 | semidirect |
| 68. D4×C103 | SD16 | semidirect |
| 110. C103 | #1639 | semidirect |
| 180. D4 | #13110093 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268137 | 2 |
| #20268071 | 2 |
| #20267996 | 2 |
| #20267535 | 2 |
| D4⋊(C103⋊C8) | 2 |
| D42×C103 | 2 |
| #1639 | 103 |