Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
200 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 53. Q8×C103 | Q16 | semidirect |
| 84. C103 | #1645 | semidirect |
| 139. Q8 | #13110095 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268141 | 2 |
| #20268076 | 2 |
| #20268001 | 2 |
| #20267540 | 2 |
| Q8⋊(C103⋊C8) | 2 |
| Q82×C103 | 2 |
| #1645 | 103 |