Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
360 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 2. #20267799 | C2 | semidirect |
| 4. #20267550 | C2 | semidirect |
| 9. #15693008 | C4 | semidirect |
| 21. C2×Dic206 | C2×C4 | semidirect |
| 29. C4×Dic103 | C2×C4 | semidirect |
| 81. C103 | #1885 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693008 | 2 |
| #20267799 | 2 |
| C2×#15692938 | 2 |
| #20267550 | 2 |
| #518×C103 | 2 |
| #1885 | 103 |