Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
234 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 59 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. #20299001 | C2 | semidirect |
| 4. #20298345 | C2 | semidirect |
| 5. Q8⋊#11744751 | C2 | semidirect |
| 7. #462×C113 | C2 | semidirect |
| 64. D452 | Q16 | semidirect |
| 93. C113 | #1649 | semidirect |
| 97. #462 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×D452 | 2 |
| #20299001 | 2 |
| #20298875 | 2 |
| #20298345 | 2 |
| Q8⋊#11744751 | 2 |
| #20298325 | 2 |
| #462×C113 | 2 |
| #1649 | 113 |