Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
432 conjugacy classes of subgroups; only the 191 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 191 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. Q8×#11744762 | C2 | semidirect |
| 2. D4×#11744762 | C2 | semidirect |
| 3. #20299711 | C2 | semidirect |
| 4. C2×C4⋊#11744762 | C2 | semidirect |
| 31. #14268648 | C8 | semidirect |
| 32. #14268647 | C8 | semidirect |
| 33. #14268646 | C8 | semidirect |
| 37. #41×C113 | C8 | semidirect |
| 48. Q8×C113 | C2×C8 | semidirect |
| 49. D4×C113 | C2×C8 | semidirect |
| 50. C2×C4×C113 | C2×C8 | semidirect |
| 51. C22⋊D113 | C2×C8 | semidirect |
| 52. C2×Dic113 | C2×C8 | semidirect |
| 53. D452 | C2×C8 | semidirect |
| 54. C4×D113 | C2×C8 | semidirect |
| 55. C4×D113 | C2×C8 | semidirect |
| 58. Dic226 | C2×C8 | semidirect |
| 79. C113 | #2988 | semidirect |
| 101. #41 | #11744762 | semidirect |
| 119. Q8 | C2×#11744762 | semidirect |
| 122. D4 | C2×#11744762 | semidirect |
| 135. C2×C4 | C2×#11744762 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×#11744762 | 2 |
| D4×#11744762 | 2 |
| #20299711 | 2 |
| C2×C4⋊#11744762 | 2 |
| #41×#90673 | 2 |
| #2988 | 113 |