Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
214 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 61 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. #20298977 | C2 | semidirect |
| 2. #20298893 | C2 | semidirect |
| 4. #20298347 | C2 | semidirect |
| 5. Q8⋊#11744751 | C2 | semidirect |
| 53. D4×C113 | Q16 | semidirect |
| 88. C113 | #1632 | semidirect |
| 142. D4 | #14268637 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20298977 | 2 |
| #20298893 | 2 |
| #20298888 | 2 |
| #20298347 | 2 |
| Q8⋊#11744751 | 2 |
| D4⋊#11744751 | 2 |
| #554×C113 | 2 |
| #1632 | 113 |