Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
400 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 1. #20268344 | C2 | semidirect |
| 3. #20268147 | C2 | semidirect |
| 4. #20268144 | C2 | semidirect |
| 5. #20268140 | C2 | semidirect |
| 6. #20268136 | C2 | semidirect |
| 7. #20267788 | C2 | semidirect |
| 8. #20267787 | C2 | semidirect |
| 9. #20267785 | C2 | semidirect |
| 10. C2×C8×Dic103 | C2 | semidirect |
| 11. #416×C103 | C2 | semidirect |
| 126. C103 | #3131 | semidirect |
| 136. #416 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268344 | 2 |
| #20268337 | 2 |
| #20268147 | 2 |
| #20268144 | 2 |
| #20268140 | 2 |
| #20268136 | 2 |
| #20267788 | 2 |
| #20267787 | 2 |
| #20267785 | 2 |
| C2×C8×Dic103 | 2 |
| #416×C103 | 2 |
| #3131 | 103 |