Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
496 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 131 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. C2×#15693040 | C2 | semidirect |
| 2. #20268339 | C2 | semidirect |
| 3. C4×#13110104 | C2 | semidirect |
| 4. #20268012 | C2 | semidirect |
| 5. #20268004 | C2 | semidirect |
| 6. #20268002 | C2 | semidirect |
| 7. #20267996 | C2 | semidirect |
| 8. #20267988 | C2 | semidirect |
| 9. C4⋊C8×D103 | C2 | semidirect |
| 10. #20267784 | C2 | semidirect |
| 11. #459×C103 | C2 | semidirect |
| 47. #13110104 | D4 | semidirect |
| 135. C4×C103 | #135 | semidirect |
| 151. C103 | #3035 | semidirect |
| 160. #459 | D103 | semidirect |
| 292. C4 | #15693040 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693040 | 2 |
| #20268339 | 2 |
| C4×#13110104 | 2 |
| #20268012 | 2 |
| #20268004 | 2 |
| #20268002 | 2 |
| #20267996 | 2 |
| #20267988 | 2 |
| C4⋊C8×D103 | 2 |
| #20267784 | 2 |
| #459×C103 | 2 |
| #3035 | 103 |