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 |
|---|---|---|
| 1. C2×#15693054 | C2 | semidirect |
| 3. #20268367 | C2 | semidirect |
| 4. #20268271 | C2 | semidirect |
| 5. #20268014 | C2 | semidirect |
| 6. #20268007 | C2 | semidirect |
| 7. #20268002 | C2 | semidirect |
| 8. #20267997 | C2 | semidirect |
| 9. #20267793 | C2 | semidirect |
| 10. C2×#15692946 | C2 | semidirect |
| 11. #424×C103 | C2 | semidirect |
| 147. C103 | #3046 | semidirect |
| 156. #424 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693054 | 2 |
| C2×#15693043 | 2 |
| #20268367 | 2 |
| #20268271 | 2 |
| #20268014 | 2 |
| #20268007 | 2 |
| #20268002 | 2 |
| #20267997 | 2 |
| #20267793 | 2 |
| C2×#15692946 | 2 |
| #424×C103 | 2 |
| #3046 | 103 |