Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
308 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 59 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. #20298946 | C2 | semidirect |
| 3. #20298800 | C2 | semidirect |
| 4. #20298341 | C2 | semidirect |
| 5. D4⋊#11744751 | C2 | semidirect |
| 6. #20298325 | C2 | semidirect |
| 7. #474×C113 | C2 | semidirect |
| 16. C4⋊#11744751 | C22 | semidirect |
| 19. C4×#11744751 | C22 | semidirect |
| 20. C4⋊Q8×C113 | C22 | semidirect |
| 23. C4⋊C8×C113 | C22 | semidirect |
| 61. D4×C113 | SD16 | semidirect |
| 110. C113 | #1639 | semidirect |
| 113. #474 | D113 | semidirect |
| 121. C4⋊Q8 | C2×D113 | semidirect |
| 130. C4⋊C8 | C2×D113 | semidirect |
| 180. D4 | #14268634 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×D452 | 2 |
| #20298946 | 2 |
| #20298800 | 2 |
| #20298341 | 2 |
| D4⋊#11744751 | 2 |
| #20298325 | 2 |
| #474×C113 | 2 |
| #1639 | 113 |