Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
206 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 50. Q8×C103 | Q16 | semidirect |
| 63. Dic206 | Q16 | semidirect |
| 83. C103 | #1633 | semidirect |
| 137. Q8 | #13110095 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic206 | 2 |
| #20268170 | 2 |
| #20268083 | 2 |
| #20267539 | 2 |
| Q8⋊(C103⋊C8) | 2 |
| #20267521 | 2 |
| #477×C103 | 2 |
| #1633 | 103 |