Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
532 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 125 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. #20268339 | C2 | semidirect |
| 2. #127×D103 | C2 | semidirect |
| 3. #20268167 | C2 | semidirect |
| 4. #20268138 | C2 | semidirect |
| 5. #20268137 | C2 | semidirect |
| 6. #20267984 | C2 | semidirect |
| 7. #20267923 | C2 | semidirect |
| 8. #20267842 | C2 | semidirect |
| 9. #493×C103 | C2 | semidirect |
| 14. C2×#13110090 | C22 | semidirect |
| 15. #15693021 | C22 | semidirect |
| 24. D4×Dic103 | C22 | semidirect |
| 26. Dic103⋊C8 | C22 | semidirect |
| 27. #15692943 | C22 | semidirect |
| 28. #15692942 | C22 | semidirect |
| 30. C4×C103⋊C8 | C22 | semidirect |
| 31. C2×D8×C103 | C22 | semidirect |
| 33. #127×C103 | C22 | semidirect |
| 34. C4×C8×C103 | C22 | semidirect |
| 100. C4×D103 | D8 | semidirect |
| 133. C103 | #3205 | semidirect |
| 137. #493 | D103 | semidirect |
| 148. C2×D8 | C2×D103 | semidirect |
| 155. #127 | C2×D103 | semidirect |
| 167. C4×C8 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268339 | 2 |
| #127×D103 | 2 |
| #20268167 | 2 |
| #20268138 | 2 |
| #20268137 | 2 |
| #20267984 | 2 |
| #20267923 | 2 |
| #20267842 | 2 |
| #493×C103 | 2 |
| #3205 | 103 |