Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
458 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 458 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. C22×C4⋊Dic109 | C2 | semidirect |
| 2. #20295359 | C2 | semidirect |
| 3. #20295354 | C2 | semidirect |
| 4. #20295342 | C2 | semidirect |
| 5. #20295337 | C2 | semidirect |
| 6. #20295069 | C2 | semidirect |
| 7. #20295027 | C2 | semidirect |
| 8. #20294990 | C2 | semidirect |
| 18. #16812632 | C22 | semidirect |
| 19. #16812630 | C22 | semidirect |
| 20. #16812623 | C22 | semidirect |
| 21. #16812620 | C22 | semidirect |
| 131. C109 | #3092 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4⋊Dic109 | 2 |
| #20295359 | 2 |
| #20295354 | 2 |
| #20295342 | 2 |
| #20295337 | 2 |
| #20295069 | 2 |
| #20295027 | 2 |
| #20294990 | 2 |
| #525×C109 | 2 |
| #3092 | 109 |