Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
372 conjugacy classes of subgroups; only the 150 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 150 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 |
|---|---|---|
| 1. #20299650 | C2 | semidirect |
| 2. #20299628 | C2 | semidirect |
| 3. #20299628 | C2 | semidirect |
| 4. #20299626 | C2 | semidirect |
| 5. #20299623 | C2 | semidirect |
| 6. #20299616 | C2 | semidirect |
| 7. #20299563 | C2 | semidirect |
| 8. #20299557 | C2 | semidirect |
| 112. C113 | #2968 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299650 | 2 |
| #20299628 | 2 |
| #20299626 | 2 |
| #20299623 | 2 |
| #20299616 | 2 |
| #20299563 | 2 |
| #20299557 | 2 |
| #20299133 | 2 |
| #2968 | 113 |