Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
396 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 125 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. #20268511 | C2 | semidirect |
| 2. #20268137 | C2 | semidirect |
| 3. #20268112 | C2 | semidirect |
| 4. #20268076 | C2 | semidirect |
| 5. #20268018 | C2 | semidirect |
| 6. #20267988 | C2 | semidirect |
| 7. #20267953 | C2 | semidirect |
| 8. C4×#13110095 | C2 | semidirect |
| 9. D4×C103⋊C8 | C2 | semidirect |
| 10. #20267787 | C2 | semidirect |
| 128. C103 | #3304 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268511 | 2 |
| #20268137 | 2 |
| #20268112 | 2 |
| #20268076 | 2 |
| #20268018 | 2 |
| #20267988 | 2 |
| #20267953 | 2 |
| C4×#13110095 | 2 |
| D4×C103⋊C8 | 2 |
| #20267787 | 2 |
| #550×C103 | 2 |
| #3304 | 103 |