Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
732 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 732 conjugacy classes of subgroups — too many to draw. Only its 149 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×#15693068 | C2 | semidirect |
| 2. C22×#13110093 | C2 | semidirect |
| 3. #20268358 | C2 | semidirect |
| 4. #20267933 | C2 | semidirect |
| 5. #20267928 | C2 | semidirect |
| 6. #20267801 | C2 | semidirect |
| 7. #20267787 | C2 | semidirect |
| 8. #20267759 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C103 | C2 | semidirect |
| 15. C2×#13110104 | C22 | semidirect |
| 18. C2×Q8×D103 | C22 | semidirect |
| 27. #15692946 | C22 | semidirect |
| 28. #15692945 | C22 | semidirect |
| 29. #15692942 | C22 | semidirect |
| 30. (C2×D103)⋊C8 | C22 | semidirect |
| 48. C2×Dic206 | D4 | semidirect |
| 69. #41×C103 | D4 | semidirect |
| 146. C103 | #3010 | semidirect |
| 148. C2×AGL(1,ℤ/8) | D103 | semidirect |
| 191. #41 | C22⋊D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693068 | 2 |
| C22×#13110093 | 2 |
| #20268358 | 2 |
| #20267933 | 2 |
| #20267928 | 2 |
| #20267801 | 2 |
| #20267787 | 2 |
| #20267759 | 2 |
| C2×AGL(1,ℤ/8)×C103 | 2 |
| #3010 | 103 |