Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
336 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 117 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. #20268520 | C2 | semidirect |
| 4. #20268141 | C2 | semidirect |
| 5. #20268100 | C2 | semidirect |
| 8. #20267915 | C2 | semidirect |
| 9. Q16×Dic103 | C2 | semidirect |
| 11. #462×C103 | C2 | semidirect |
| 116. C103 | #3364 | semidirect |
| 124. #462 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268520 | 2 |
| #20268515 | 2 |
| #20268147 | 2 |
| #20268141 | 2 |
| #20268100 | 2 |
| #20268072 | 2 |
| #20268015 | 2 |
| #20267915 | 2 |
| Q16×Dic103 | 2 |
| C4×#13110092 | 2 |
| #462×C103 | 2 |
| #3364 | 103 |