Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
168 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 168 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 |
|---|---|---|
| 3. #20267543 | C2 | semidirect |
| 4. Q8⋊(C103⋊C8) | C2 | semidirect |
| 6. #20267513 | C2 | semidirect |
| 7. #446×C103 | C2 | semidirect |
| 78. C103 | #1585 | semidirect |
| 79. #446 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#13110092 | 2 |
| C8×D412 | 2 |
| #20267543 | 2 |
| Q8⋊(C103⋊C8) | 2 |
| #20267518 | 2 |
| #20267513 | 2 |
| #446×C103 | 2 |
| #1585 | 103 |