Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
200 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 106 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 |
|---|---|---|
| 3. #20299485 | C2 | direct (N × H) |
| 7. #16813695 | C4 | semidirect |
| 9. C2×#14268650 | C4 | semidirect |
| 13. C2×#14268622 | C4 | semidirect |
| 14. C16×D113 | C4 | semidirect |
| 16. C2×C16×C113 | C4 | semidirect |
| 23. #14268650 | C2×C4 | semidirect |
| 30. #14268622 | C2×C4 | semidirect |
| 32. C16×C113 | C2×C4 | semidirect |
| 56. C2×C113 | #346 | semidirect |
| 58. D113 | #346 | semidirect |
| 61. C113 | C2×#346 | semidirect |
| 75. C2×C16 | #90673 | semidirect |
| 93. C16 | C2×#90673 | semidirect |
| 119. C2 | #20299485 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813695 | 2 |
| C2×C8×#90673 | 2 |
| #20299485 | 2 |
| C2×C16×D113 | 2 |
| C2×#346 | 113 |