Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
494 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20268444 | C2 | semidirect |
| 2. #20268426 | C2 | semidirect |
| 3. #20268103 | C2 | semidirect |
| 4. #20268068 | C2 | semidirect |
| 5. #20268026 | C2 | semidirect |
| 6. #20267983 | C2 | semidirect |
| 7. #20267926 | C2 | semidirect |
| 8. C4×D824 | C2 | semidirect |
| 9. C8×D412 | C2 | semidirect |
| 10. #102×D103 | C2 | semidirect |
| 11. #486×C103 | C2 | semidirect |
| 16. C2×#13110090 | C22 | semidirect |
| 17. C2×C8×D103 | C22 | semidirect |
| 20. #15692996 | C22 | semidirect |
| 26. C4×D412 | C22 | semidirect |
| 27. C4⋊C4×D103 | C22 | semidirect |
| 28. #15692955 | C22 | semidirect |
| 29. #15692954 | C22 | semidirect |
| 30. C4⋊(C103⋊C8) | C22 | semidirect |
| 32. #15692943 | C22 | semidirect |
| 33. #15692942 | C22 | semidirect |
| 35. (C2×D103)⋊C8 | C22 | semidirect |
| 36. C4⋊Q8×C103 | C22 | semidirect |
| 38. #102×C103 | C22 | semidirect |
| 39. #102×C103 | C22 | semidirect |
| 40. C4×C8×C103 | C22 | semidirect |
| 103. D412 | D8 | semidirect |
| 104. D412 | #41 | semidirect |
| 143. C103 | #3294 | semidirect |
| 146. #486 | D103 | semidirect |
| 161. C4⋊Q8 | C2×D103 | semidirect |
| 180. #102 | C2×D103 | semidirect |
| 181. #102 | C2×D103 | semidirect |
| 183. C4×C8 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268444 | 2 |
| #20268426 | 2 |
| #20268103 | 2 |
| #20268068 | 2 |
| #20268026 | 2 |
| #20267983 | 2 |
| #20267926 | 2 |
| C4×D824 | 2 |
| C8×D412 | 2 |
| #102×D103 | 2 |
| #486×C103 | 2 |
| #3294 | 103 |