Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
512 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 512 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 |
|---|---|---|
| 3. #20267688 | C2 | semidirect |
| 4. #20267685 | C2 | semidirect |
| 5. #20267679 | C2 | semidirect |
| 6. #20267673 | C2 | semidirect |
| 7. #20267664 | C2 | semidirect |
| 8. #20267649 | C2 | semidirect |
| 11. #15693002 | C4 | semidirect |
| 34. C22×Dic103 | C2×C4 | semidirect |
| 43. Dic103⋊C4 | C2×C4 | semidirect |
| 47. C22⋊Dic103 | C2×C4 | semidirect |
| 127. C103 | #2376 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693002 | 2 |
| #20267694 | 2 |
| #20267688 | 2 |
| #20267685 | 2 |
| #20267679 | 2 |
| #20267673 | 2 |
| #20267664 | 2 |
| #20267649 | 2 |
| #386×C103 | 2 |
| #2376 | 103 |