Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
332 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 79 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. C4×#13110105 | C2 | semidirect |
| 3. #20267809 | C2 | semidirect |
| 4. C2×#15692949 | C2 | semidirect |
| 5. #20267764 | C2 | semidirect |
| 6. #20267563 | C2 | semidirect |
| 7. #339×C103 | C2 | semidirect |
| 11. #15693054 | C4 | semidirect |
| 13. #15693049 | C4 | semidirect |
| 37. C2×Dic206 | C2×C4 | semidirect |
| 39. C2×D412 | C2×C4 | semidirect |
| 62. M16×C103 | C2×C4 | semidirect |
| 130. C103 | #1906 | semidirect |
| 137. #339 | D103 | semidirect |
| 185. M16 | C4×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268591 | 2 |
| C4×#13110105 | 2 |
| #20267809 | 2 |
| C2×#15692949 | 2 |
| #20267764 | 2 |
| #20267563 | 2 |
| #339×C103 | 2 |
| #1906 | 103 |