Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
326 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 326 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 |
|---|---|---|
| 2. #20267833 | C2 | semidirect |
| 3. C2×#15692947 | C2 | semidirect |
| 4. #20267793 | C2 | semidirect |
| 5. #20267694 | C2 | semidirect |
| 6. #20267552 | C2 | semidirect |
| 7. C2×#100×C103 | C2 | semidirect |
| 61. M16×C103 | D4 | semidirect |
| 131. C103 | #2037 | semidirect |
| 136. C2×#100 | D103 | semidirect |
| 181. M16 | C22⋊D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268358 | 2 |
| #20267833 | 2 |
| C2×#15692947 | 2 |
| #20267793 | 2 |
| #20267694 | 2 |
| #20267552 | 2 |
| C2×#100×C103 | 2 |
| #2037 | 103 |