Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
456 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 456 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. #20268336 | C2 | semidirect |
| 2. #20268195 | C2 | semidirect |
| 3. #20268166 | C2 | semidirect |
| 4. #20268136 | C2 | semidirect |
| 5. #20268027 | C2 | semidirect |
| 6. #20268025 | C2 | semidirect |
| 7. D8×Dic103 | C2 | semidirect |
| 8. #20267873 | C2 | semidirect |
| 9. #20267871 | C2 | semidirect |
| 10. C2×C8×Dic103 | C2 | semidirect |
| 11. #466×C103 | C2 | semidirect |
| 89. C2×Dic103 | D8 | semidirect |
| 99. C8×C103 | #41 | semidirect |
| 101. C103⋊C8 | #41 | semidirect |
| 128. C103 | #3169 | semidirect |
| 135. #466 | D103 | semidirect |
| 229. C8 | #13110104 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268336 | 2 |
| #20268195 | 2 |
| #20268166 | 2 |
| #20268136 | 2 |
| #20268027 | 2 |
| #20268025 | 2 |
| D8×Dic103 | 2 |
| #20267873 | 2 |
| #20267871 | 2 |
| C2×C8×Dic103 | 2 |
| #466×C103 | 2 |
| #3169 | 103 |