Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
764 conjugacy classes of subgroups; only the 293 normal subgroups are shown.
This group has 764 conjugacy classes of subgroups — too many to draw. Only its 293 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. C22×#13110089 | C2 | semidirect |
| 2. #20267758 | C2 | semidirect |
| 3. #20267755 | C2 | semidirect |
| 7. C2×#13110089 | C22 | semidirect |
| 8. C22×C103⋊C8 | C22 | semidirect |
| 9. C22⋊(C103⋊C8) | C22 | semidirect |
| 84. C103 | #2879 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13110089 | 2 |
| #20267758 | 2 |
| #20267755 | 2 |
| C22×#41×C103 | 2 |
| #2879 | 103 |