Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
536 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 97 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. #20267809 | C2 | semidirect |
| 3. #20267799 | C2 | semidirect |
| 4. #20267775 | C2 | semidirect |
| 5. #410×C103 | C2 | semidirect |
| 8. C2×#13110105 | C4 | semidirect |
| 12. C22×Dic206 | C4 | semidirect |
| 109. C103 | #1796 | semidirect |
| 114. #410 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693068 | 2 |
| #20267809 | 2 |
| #20267799 | 2 |
| #20267775 | 2 |
| #410×C103 | 2 |
| #1796 | 103 |