Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
416 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 149 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×#15693021 | C2 | semidirect |
| 3. #20268087 | C2 | semidirect |
| 4. #20268082 | C2 | semidirect |
| 5. #20268077 | C2 | semidirect |
| 6. #20268072 | C2 | semidirect |
| 7. #20267833 | C2 | semidirect |
| 9. #423×C103 | C2 | semidirect |
| 36. #13110105 | Q8 | semidirect |
| 89. D412 | C2×Q8 | semidirect |
| 96. Dic206 | C2×Q8 | semidirect |
| 122. C103 | #3079 | semidirect |
| 130. #423 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693021 | 2 |
| C4×#13110105 | 2 |
| #20268087 | 2 |
| #20268082 | 2 |
| #20268077 | 2 |
| #20268072 | 2 |
| #20267833 | 2 |
| #20267793 | 2 |
| #423×C103 | 2 |
| #3079 | 103 |