Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
462 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 139 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 |
|---|---|---|
| 2. #20268139 | C2 | semidirect |
| 3. #20268109 | C2 | semidirect |
| 4. #20268078 | C2 | semidirect |
| 5. #20268022 | C2 | semidirect |
| 6. #20267991 | C2 | semidirect |
| 7. #20267941 | C2 | semidirect |
| 8. C4×#13110092 | C2 | semidirect |
| 9. D4×C103⋊C8 | C2 | semidirect |
| 10. C2×#15692941 | C2 | semidirect |
| 11. #554×C103 | C2 | semidirect |
| 15. C2×#13110092 | C22 | semidirect |
| 16. C22×C103⋊C8 | C22 | semidirect |
| 22. #15692952 | C22 | semidirect |
| 23. #15692952 | C22 | semidirect |
| 24. C4⋊(C103⋊C8) | C22 | semidirect |
| 25. #15692945 | C22 | semidirect |
| 28. #15692941 | C22 | semidirect |
| 29. #15692941 | C22 | semidirect |
| 30. #15692941 | C22 | semidirect |
| 31. C22⋊(C103⋊C8) | C22 | semidirect |
| 32. C4×C103⋊C8 | C22 | semidirect |
| 33. C4⋊Q8×C103 | C22 | semidirect |
| 36. C22⋊Q8×C103 | C22 | semidirect |
| 37. C4×Q8×C103 | C22 | semidirect |
| 40. C2×C4⋊C4×C103 | C22 | semidirect |
| 86. D4×C103 | SD16 | semidirect |
| 137. C103 | #3295 | semidirect |
| 138. #554 | D103 | semidirect |
| 154. C4⋊Q8 | C2×D103 | semidirect |
| 158. C22⋊Q8 | C2×D103 | semidirect |
| 162. C4×Q8 | C2×D103 | semidirect |
| 166. C2×C4⋊C4 | C2×D103 | semidirect |
| 231. D4 | #13110092 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×D412 | 2 |
| #20268139 | 2 |
| #20268109 | 2 |
| #20268078 | 2 |
| #20268022 | 2 |
| #20267991 | 2 |
| #20267941 | 2 |
| C4×#13110092 | 2 |
| D4×C103⋊C8 | 2 |
| C2×#15692941 | 2 |
| #554×C103 | 2 |
| #3295 | 103 |