Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
212 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 97 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. #20299682 | C2 | semidirect |
| 3. C8×#11744762 | C2 | semidirect |
| 17. #14268655 | C8 | semidirect |
| 20. C2×#11744753 | C8 | semidirect |
| 25. C2×#11744751 | C8 | semidirect |
| 26. C8×D113 | C8 | semidirect |
| 27. C8×D113 | C8 | semidirect |
| 30. C2×C8×C113 | C8 | semidirect |
| 63. C113 | #1450 | semidirect |
| 90. C2×C8 | #11744762 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299711 | 2 |
| #20299682 | 2 |
| C8×#11744762 | 2 |
| C2×C8×#90673 | 2 |
| #1450 | 113 |