Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
198 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 65 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. #20268196 | C2 | semidirect |
| 2. #20268187 | C2 | semidirect |
| 4. #20268143 | C2 | semidirect |
| 6. #20267512 | C2 | semidirect |
| 52. C8×C103 | SD16 | semidirect |
| 70. C103 | #1714 | semidirect |
| 124. C8 | #13110093 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268196 | 2 |
| #20268187 | 2 |
| #20268163 | 2 |
| #20268143 | 2 |
| #20268137 | 2 |
| #20267512 | 2 |
| #492×C103 | 2 |
| #1714 | 103 |