Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
210 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 4. #20267537 | C2 | semidirect |
| 5. Q8⋊(C103⋊C8) | C2 | semidirect |
| 6. Q8⋊(C103⋊C8) | C2 | semidirect |
| 7. #557×C103 | C2 | semidirect |
| 55. Q8×C103 | SD16 | semidirect |
| 91. C103 | #1626 | semidirect |
| 92. #557 | D103 | semidirect |
| 146. Q8 | #13110092 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268139 | 2 |
| #20267991 | 2 |
| #20267537 | 2 |
| Q8⋊(C103⋊C8) | 2 |
| #557×C103 | 2 |
| #1626 | 103 |