Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
208 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 2. #20298950 | C2 | semidirect |
| 3. #20298805 | C2 | semidirect |
| 4. #20298346 | C2 | semidirect |
| 5. #20298328 | C2 | semidirect |
| 52. D4×C113 | Q16 | semidirect |
| 89. C113 | #1644 | semidirect |
| 144. D4 | #14268637 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299305 | 2 |
| #20298950 | 2 |
| #20298805 | 2 |
| #20298346 | 2 |
| #20298328 | 2 |
| D4⋊#11744751 | 2 |
| #474×C113 | 2 |
| #1644 | 113 |