Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
348 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 2. #20268148 | C2 | semidirect |
| 4. #20268088 | C2 | semidirect |
| 5. #20268073 | C2 | semidirect |
| 6. #20268013 | C2 | semidirect |
| 8. Q8×C103⋊C8 | C2 | semidirect |
| 9. C4×#13110095 | C2 | semidirect |
| 10. C4×#13110092 | C2 | semidirect |
| 11. #557×C103 | C2 | semidirect |
| 118. C103 | #3365 | semidirect |
| 120. #557 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268526 | 2 |
| #20268148 | 2 |
| #20268139 | 2 |
| #20268088 | 2 |
| #20268073 | 2 |
| #20268013 | 2 |
| #20267991 | 2 |
| Q8×C103⋊C8 | 2 |
| C4×#13110095 | 2 |
| C4×#13110092 | 2 |
| #557×C103 | 2 |
| #3365 | 103 |