Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
520 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 173 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. #20267695 | C2 | semidirect |
| 3. #20267685 | C2 | semidirect |
| 4. #20267679 | C2 | semidirect |
| 6. #20267664 | C2 | semidirect |
| 7. #20267663 | C2 | semidirect |
| 8. #20267655 | C2 | semidirect |
| 12. #15693008 | C4 | semidirect |
| 34. C2×Dic206 | C2×C4 | semidirect |
| 46. C22⋊Dic103 | C2×C4 | semidirect |
| 47. C22⋊Dic103 | C2×C4 | semidirect |
| 49. C4×Dic103 | C2×C4 | semidirect |
| 128. C103 | #2379 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693008 | 2 |
| #20267695 | 2 |
| #20267685 | 2 |
| #20267679 | 2 |
| #20267671 | 2 |
| #20267664 | 2 |
| #20267663 | 2 |
| #20267655 | 2 |
| #386×C103 | 2 |
| #2379 | 103 |