Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
156 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 156 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 4. #20267618 | C2 | semidirect |
| 5. #20267617 | C2 | semidirect |
| 6. #20267616 | C2 | semidirect |
| 7. #367×C103 | C2 | semidirect |
| 11. #15692960 | C4 | semidirect |
| 30. C103⋊C16 | C2×C4 | semidirect |
| 34. C16×C103 | C2×C4 | semidirect |
| 64. C103 | #2159 | semidirect |
| 69. #367 | D103 | semidirect |
| 98. C16 | C4×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692960 | 2 |
| #20267828 | 2 |
| #107×D103 | 2 |
| #20267618 | 2 |
| #20267617 | 2 |
| #20267616 | 2 |
| #367×C103 | 2 |
| #2159 | 103 |