Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
490 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 133 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×#16812729 | C2 | semidirect |
| 2. C22×#13182018 | C2 | semidirect |
| 4. #20295503 | C2 | semidirect |
| 5. #20295251 | C2 | semidirect |
| 6. #20295225 | C2 | semidirect |
| 7. #20295052 | C2 | semidirect |
| 8. #20295030 | C2 | semidirect |
| 9. #416×C109 | C2 | semidirect |
| 13. C2×#13182019 | C22 | semidirect |
| 16. C2×#13182017 | C22 | semidirect |
| 23. #16812664 | C22 | semidirect |
| 26. #16812628 | C22 | semidirect |
| 31. #103×C109 | C22 | semidirect |
| 32. #102×C109 | C22 | semidirect |
| 36. C2×Dic218 | D4 | semidirect |
| 117. C109 | #3043 | semidirect |
| 126. #416 | D109 | semidirect |
| 147. #103 | C2×D109 | semidirect |
| 149. #102 | C2×D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812729 | 2 |
| C22×#13182018 | 2 |
| #20295590 | 2 |
| #20295503 | 2 |
| #20295251 | 2 |
| #20295225 | 2 |
| #20295052 | 2 |
| #20295030 | 2 |
| #416×C109 | 2 |
| #3043 | 109 |