Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
224 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 224 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. #20268194 | C2 | semidirect |
| 3. #20268165 | C2 | semidirect |
| 4. #20268163 | C2 | semidirect |
| 5. #20268138 | C2 | semidirect |
| 6. C8×C103⋊C8 | C2 | semidirect |
| 7. #486×C103 | C2 | semidirect |
| 56. C103⋊C8 | D8 | semidirect |
| 57. C103⋊C8 | SD16 | semidirect |
| 76. C103 | #1706 | semidirect |
| 82. #486 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268194 | 2 |
| #20268167 | 2 |
| #20268165 | 2 |
| #20268163 | 2 |
| #20268138 | 2 |
| C8×C103⋊C8 | 2 |
| #486×C103 | 2 |
| #1706 | 103 |