Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
540 conjugacy classes of subgroups; only the 162 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 162 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. #20299549 | C2 | semidirect |
| 3. #20299548 | C2 | semidirect |
| 4. #20299541 | C2 | semidirect |
| 5. #20299540 | C2 | semidirect |
| 6. C4×C4⋊#90673 | C2 | semidirect |
| 7. #20299534 | C2 | semidirect |
| 22. C4×D452 | C4 | semidirect |
| 23. D4×Dic113 | C4 | semidirect |
| 24. #16813584 | C4 | semidirect |
| 25. C4×C22⋊D113 | C4 | semidirect |
| 26. #16813582 | C4 | semidirect |
| 30. C4×D4×C113 | C4 | semidirect |
| 133. C113 | #2319 | semidirect |
| 149. C4×D4 | #90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299550 | 2 |
| #20299549 | 2 |
| #20299548 | 2 |
| #20299541 | 2 |
| #20299540 | 2 |
| C4×C4⋊#90673 | 2 |
| #20299534 | 2 |
| C4×D4×D113 | 2 |
| #2319 | 113 |