Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
284 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 89 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. C2×#16813532 | C2 | semidirect |
| 5. #20298494 | C2 | semidirect |
| 6. #20298360 | C2 | semidirect |
| 7. #340×C113 | C2 | semidirect |
| 15. #16813544 | C4 | semidirect |
| 119. C113 | #1936 | semidirect |
| 126. #340 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813544 | 2 |
| C2×#16813542 | 2 |
| C2×#16813532 | 2 |
| #20298499 | 2 |
| #20298494 | 2 |
| #20298360 | 2 |
| #340×C113 | 2 |
| #1936 | 113 |