Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
484 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 229 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. #20267677 | C2 | semidirect |
| 3. #20267661 | C2 | semidirect |
| 4. #20267657 | C2 | semidirect |
| 6. C4×C4⋊Dic103 | C2 | semidirect |
| 17. #117×C103 | C4 | semidirect |
| 89. C103 | #2314 | semidirect |
| 98. #117 | Dic103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20267684 | 2 |
| #20267677 | 2 |
| #20267661 | 2 |
| #20267657 | 2 |
| #20267651 | 2 |
| C4×C4⋊Dic103 | 2 |
| C2×#117×C103 | 2 |
| #2314 | 103 |