Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
192 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 192 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 |
|---|---|---|
| 1. D4×#11744762 | C2 | semidirect |
| 2. #20299687 | C2 | semidirect |
| 3. D4⋊#11744762 | C2 | semidirect |
| 4. #20299682 | C2 | semidirect |
| 26. D904 | C8 | semidirect |
| 27. #14268632 | C8 | semidirect |
| 29. D8×C113 | C8 | semidirect |
| 39. D4×C113 | C2×C8 | semidirect |
| 41. D452 | C2×C8 | semidirect |
| 44. C8×C113 | C2×C8 | semidirect |
| 45. #11744751 | C2×C8 | semidirect |
| 62. C113 | #1580 | semidirect |
| 82. D8 | #11744762 | semidirect |
| 95. D4 | C2×#11744762 | semidirect |
| 107. C8 | C2×#11744762 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×#11744762 | 2 |
| #20299687 | 2 |
| D4⋊#11744762 | 2 |
| #20299682 | 2 |
| D8×#90673 | 2 |
| #1580 | 113 |