Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
520 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 185 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×#15693029 | C2 | semidirect |
| 2. C22×C8×D103 | C2 | semidirect |
| 4. #20267861 | C2 | semidirect |
| 5. #20267856 | C2 | semidirect |
| 6. #20267757 | C2 | semidirect |
| 7. #20267754 | C2 | semidirect |
| 8. #20267747 | C2 | semidirect |
| 9. #424×C103 | C2 | semidirect |
| 14. C2×#13110088 | C22 | semidirect |
| 19. C2×C8×D103 | C22 | semidirect |
| 26. (C2×D103)⋊C8 | C22 | semidirect |
| 27. #15692932 | C22 | semidirect |
| 28. C4×C103⋊C8 | C22 | semidirect |
| 32. C4⋊C8×C103 | C22 | semidirect |
| 48. C2×C103⋊C8 | D4 | semidirect |
| 101. C2×D103 | #131 | semidirect |
| 114. C103 | #2929 | semidirect |
| 120. #424 | D103 | semidirect |
| 142. C4⋊C8 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693029 | 2 |
| C22×C8×D103 | 2 |
| #20268303 | 2 |
| #20267861 | 2 |
| #20267856 | 2 |
| #20267757 | 2 |
| #20267754 | 2 |
| #20267747 | 2 |
| #424×C103 | 2 |
| #2929 | 103 |