Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
412 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 412 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. #20268346 | C2 | semidirect |
| 3. #20268187 | C2 | semidirect |
| 4. #20268165 | C2 | semidirect |
| 5. #20268138 | C2 | semidirect |
| 6. #20268023 | C2 | semidirect |
| 7. #20267876 | C2 | semidirect |
| 8. C4×C8×D103 | C2 | semidirect |
| 9. #487×C103 | C2 | semidirect |
| 87. C4×D103 | SD16 | semidirect |
| 90. C103⋊C8 | #41 | semidirect |
| 113. C103 | #3167 | semidirect |
| 118. #487 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268346 | 2 |
| #20268342 | 2 |
| #20268187 | 2 |
| #20268165 | 2 |
| #20268138 | 2 |
| #20268023 | 2 |
| #20267876 | 2 |
| C4×C8×D103 | 2 |
| #487×C103 | 2 |
| #3167 | 103 |