Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
398 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 141 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. #20268419 | C2 | semidirect |
| 3. #20268093 | C2 | semidirect |
| 4. #20268089 | C2 | semidirect |
| 5. #20268079 | C2 | semidirect |
| 6. #20268069 | C2 | semidirect |
| 7. #20267833 | C2 | semidirect |
| 8. #20267827 | C2 | semidirect |
| 9. #20267819 | C2 | semidirect |
| 14. #15693020 | C22 | semidirect |
| 16. #15693012 | C22 | semidirect |
| 26. #15692955 | C22 | semidirect |
| 27. #15692954 | C22 | semidirect |
| 28. #15692954 | C22 | semidirect |
| 29. #15692953 | C22 | semidirect |
| 30. #15692952 | C22 | semidirect |
| 31. #15692952 | C22 | semidirect |
| 32. Dic103⋊C8 | C22 | semidirect |
| 33. Dic103⋊C8 | C22 | semidirect |
| 66. C2×D4×C103 | Q8 | semidirect |
| 125. C103 | #3081 | semidirect |
| 170. C2×D4 | Dic206 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268419 | 2 |
| #20268266 | 2 |
| #20268093 | 2 |
| #20268089 | 2 |
| #20268079 | 2 |
| #20268069 | 2 |
| #20267833 | 2 |
| #20267827 | 2 |
| #20267819 | 2 |
| C2×#15692942 | 2 |
| #418×C103 | 2 |
| #3081 | 103 |