Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
340 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20298966 | C2 | semidirect |
| 3. #20298948 | C2 | semidirect |
| 4. #20298905 | C2 | semidirect |
| 5. #20298893 | C2 | semidirect |
| 8. #20298729 | C2 | semidirect |
| 11. #557×C113 | C2 | semidirect |
| 117. C113 | #3372 | semidirect |
| 118. #557 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299308 | 2 |
| #20298966 | 2 |
| #20298948 | 2 |
| #20298905 | 2 |
| #20298893 | 2 |
| #20298800 | 2 |
| #20298729 | 2 |
| #20298696 | 2 |
| C4×#14268634 | 2 |
| #557×C113 | 2 |
| #3372 | 113 |