Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
472 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14268637 | C2 | semidirect |
| 3. #20298977 | C2 | semidirect |
| 4. #20298837 | C2 | semidirect |
| 5. #20298808 | C2 | semidirect |
| 6. #20298805 | C2 | semidirect |
| 7. #20298754 | C2 | semidirect |
| 8. #20298753 | C2 | semidirect |
| 9. C4×#14268637 | C2 | semidirect |
| 52. #14268637 | D4 | direct (N × H) |
| 88. D4×C113 | Q16 | semidirect |
| 113. C22×C113 | C2×Q16 | semidirect |
| 120. C4×C113 | C2×Q16 | semidirect |
| 131. C113 | D4×Q16 | semidirect |
| 224. D4 | #14268637 | direct (N × H) |
| 244. C22 | C2×#14268637 | semidirect |
| 254. C4 | C2×#14268637 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14268637 | 2 |
| D4×Dic226 | 2 |
| #20298977 | 2 |
| #20298837 | 2 |
| #20298808 | 2 |
| #20298805 | 2 |
| #20298754 | 2 |
| #20298753 | 2 |
| C4×#14268637 | 2 |
| D4×#11744751 | 2 |
| D4×Q8×C113 | 2 |
| D4×Q16 | 113 |