Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
338 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 22. C2×Dic452 | C4 | semidirect |
| 23. C2×#14268637 | C4 | semidirect |
| 24. C2×#14268637 | C4 | semidirect |
| 28. C2×Q16×C113 | C4 | semidirect |
| 81. C2×#90673 | Q16 | semidirect |
| 138. C113 | #1878 | semidirect |
| 153. C2×Q16 | #90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×#90673 | 2 |
| C2×#16813685 | 2 |
| (C2×#90673)⋊Q8 | 2 |
| #20299472 | 2 |
| #20299463 | 2 |
| C2×Q16×D113 | 2 |
| #1878 | 113 |