Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
476 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 253 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. #20298641 | C2 | semidirect |
| 4. #20298638 | C2 | semidirect |
| 5. #20298634 | C2 | semidirect |
| 6. C2×#16813553 | C2 | semidirect |
| 8. #16813629 | C4 | semidirect |
| 26. #14268631 | C2×C4 | semidirect |
| 27. C2×#11744751 | C2×C4 | semidirect |
| 77. C113 | #2912 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813629 | 2 |
| #20299081 | 2 |
| #20298641 | 2 |
| #20298638 | 2 |
| #20298634 | 2 |
| C2×#16813553 | 2 |
| #520×C113 | 2 |
| #2912 | 113 |