Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
358 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 3. #20268098 | C2 | semidirect |
| 4. #20268001 | C2 | semidirect |
| 6. #20267896 | C2 | semidirect |
| 7. C4×#13110095 | C2 | semidirect |
| 96. C103 | #3127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268403 | 2 |
| #20268132 | 2 |
| #20268098 | 2 |
| #20268001 | 2 |
| #20267947 | 2 |
| #20267896 | 2 |
| C4×#13110095 | 2 |
| #20267852 | 2 |
| #519×C103 | 2 |
| #3127 | 103 |