Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
172 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 1. #20268073 | C2 | semidirect |
| 3. C8×Dic206 | C2 | semidirect |
| 4. #20267542 | C2 | semidirect |
| 5. #20267537 | C2 | semidirect |
| 57. Dic206 | SD16 | semidirect |
| 59. C8×C103 | SD16 | semidirect |
| 80. C103 | #1666 | semidirect |
| 142. C8 | #13110093 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268073 | 2 |
| #20267988 | 2 |
| C8×Dic206 | 2 |
| #20267542 | 2 |
| #20267537 | 2 |
| #20267535 | 2 |
| #492×C103 | 2 |
| #1666 | 103 |