Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
152 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 57. C103⋊C8 | Q16 | semidirect |
| 72. C103 | #1584 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20267918 | 2 |
| #20267915 | 2 |
| C4×Dic412 | 2 |
| #20267521 | 2 |
| #20267513 | 2 |
| #335×C103 | 2 |
| #1584 | 103 |