Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
336 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 125 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. #20298950 | C2 | semidirect |
| 4. #20298902 | C2 | semidirect |
| 7. #20298808 | C2 | semidirect |
| 8. Q8×#11744751 | C2 | semidirect |
| 9. C4×#14268637 | C2 | semidirect |
| 11. #557×C113 | C2 | semidirect |
| 116. C113 | #3364 | semidirect |
| 117. #557 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299321 | 2 |
| #20298955 | 2 |
| #20298950 | 2 |
| #20298902 | 2 |
| #20298875 | 2 |
| #20298820 | 2 |
| #20298808 | 2 |
| Q8×#11744751 | 2 |
| C4×#14268637 | 2 |
| C4×#14268634 | 2 |
| #557×C113 | 2 |
| #3364 | 113 |