Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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. #20268365 | C2 | semidirect |
| 3. #20268274 | C2 | semidirect |
| 4. #20268015 | C2 | semidirect |
| 5. #20268008 | C2 | semidirect |
| 6. #20267999 | C2 | semidirect |
| 7. #20267994 | C2 | semidirect |
| 8. #20267819 | C2 | semidirect |
| 9. #20267793 | C2 | semidirect |
| 10. C2×#15692945 | C2 | semidirect |
| 11. C2×#137×C103 | C2 | semidirect |
| 147. C103 | #3046 | semidirect |
| 148. C2×#137 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693041 | 2 |
| #20268365 | 2 |
| #20268274 | 2 |
| #20268015 | 2 |
| #20268008 | 2 |
| #20267999 | 2 |
| #20267994 | 2 |
| #20267819 | 2 |
| #20267793 | 2 |
| C2×#15692945 | 2 |
| C2×#137×C103 | 2 |
| #3046 | 103 |