Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
262 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 66 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. #20299613 | C2 | semidirect |
| 3. #20299603 | C2 | semidirect |
| 5. #20299481 | C2 | semidirect |
| 6. #20299469 | C2 | semidirect |
| 25. #16813550 | C4 | semidirect |
| 26. #16813549 | C4 | semidirect |
| 27. #16813548 | C4 | semidirect |
| 28. #104×C113 | C4 | semidirect |
| 121. C113 | #1861 | semidirect |
| 149. #104 | #90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299677 | 2 |
| #20299613 | 2 |
| #20299603 | 2 |
| #20299595 | 2 |
| #20299481 | 2 |
| #20299469 | 2 |
| #104×D113 | 2 |
| #1861 | 113 |