Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
670 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 670 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×#15692935 | C2 | semidirect |
| 3. #20267671 | C2 | semidirect |
| 4. #20267668 | C2 | semidirect |
| 5. C2×#99×C103 | C2 | semidirect |
| 8. #15693066 | C4 | semidirect |
| 14. C23×Dic103 | C22 | semidirect |
| 16. C2×C22⋊Dic103 | C22 | semidirect |
| 22. C2×C22⋊C4×C103 | C22 | semidirect |
| 69. C23×C103 | C22⋊C4 | semidirect |
| 82. C22×D103 | C22⋊C4 | semidirect |
| 90. C2×C4×C103 | C22⋊C4 | semidirect |
| 107. C2×Dic103 | C22⋊C4 | semidirect |
| 149. C103 | #1790 | semidirect |
| 152. C2×#99 | D103 | semidirect |
| 168. C2×C22⋊C4 | C2×D103 | semidirect |
| 226. C23 | (C2×D103)⋊C4 | semidirect |
| 259. C2×C4 | (C2×D103)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693066 | 2 |
| C2×#15692935 | 2 |
| #20267671 | 2 |
| #20267668 | 2 |
| C2×#99×C103 | 2 |
| #1790 | 103 |