Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
456 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 129 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. #20299143 | C2 | semidirect |
| 2. #20299002 | C2 | semidirect |
| 3. #20298973 | C2 | semidirect |
| 4. #20298943 | C2 | semidirect |
| 5. #20298834 | C2 | semidirect |
| 6. #20298832 | C2 | semidirect |
| 7. D8×Dic113 | C2 | semidirect |
| 8. #20298680 | C2 | semidirect |
| 9. #20298678 | C2 | semidirect |
| 10. C2×C8×Dic113 | C2 | semidirect |
| 11. #466×C113 | C2 | semidirect |
| 89. C2×Dic113 | D8 | semidirect |
| 99. C8×C113 | #41 | semidirect |
| 101. #11744751 | #41 | semidirect |
| 128. C113 | #3169 | semidirect |
| 135. #466 | D113 | semidirect |
| 229. C8 | #14268646 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299143 | 2 |
| #20299002 | 2 |
| #20298973 | 2 |
| #20298943 | 2 |
| #20298834 | 2 |
| #20298832 | 2 |
| D8×Dic113 | 2 |
| #20298680 | 2 |
| #20298678 | 2 |
| C2×C8×Dic113 | 2 |
| #466×C113 | 2 |
| #3169 | 113 |