Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 149 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×#15693043 | C2 | semidirect |
| 2. C2×#15693041 | C2 | semidirect |
| 3. #20268337 | C2 | semidirect |
| 4. #20268184 | C2 | semidirect |
| 5. #20268182 | C2 | semidirect |
| 6. #20268179 | C2 | semidirect |
| 7. #20268177 | C2 | semidirect |
| 8. C2×#15692931 | C2 | semidirect |
| 9. C2×#135×C103 | C2 | semidirect |
| 51. C2×C103⋊C8 | D4 | semidirect |
| 68. C2×C8×C103 | D4 | semidirect |
| 117. C103 | #3150 | semidirect |
| 120. C2×#135 | D103 | semidirect |
| 180. C2×C8 | C22⋊D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693043 | 2 |
| C2×#15693041 | 2 |
| #20268337 | 2 |
| #20268184 | 2 |
| #20268182 | 2 |
| #20268179 | 2 |
| #20268177 | 2 |
| C2×#15692931 | 2 |
| C2×#135×C103 | 2 |
| #3150 | 103 |