Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
362 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 3. #20268100 | C2 | semidirect |
| 4. #20268096 | C2 | semidirect |
| 5. #20268084 | C2 | semidirect |
| 6. #20268074 | C2 | semidirect |
| 65. C2×Q8×C103 | Q8 | semidirect |
| 117. C103 | #3082 | semidirect |
| 161. C2×Q8 | Dic206 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268422 | 2 |
| #20268269 | 2 |
| #20268100 | 2 |
| #20268096 | 2 |
| #20268084 | 2 |
| #20268074 | 2 |
| #20267831 | 2 |
| #20267829 | 2 |
| #20267817 | 2 |
| #20267800 | 2 |
| C2×#103×C103 | 2 |
| #3082 | 103 |