Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 125 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. #20299248 | C2 | semidirect |
| 2. #20299002 | C2 | semidirect |
| 3. #20298910 | C2 | semidirect |
| 4. #20298909 | C2 | semidirect |
| 5. #20298876 | C2 | semidirect |
| 6. #20298831 | C2 | semidirect |
| 7. D8×Dic113 | C2 | semidirect |
| 8. C8×C22⋊D113 | C2 | semidirect |
| 9. C2×#16813556 | C2 | semidirect |
| 10. #107×D113 | C2 | semidirect |
| 11. #466×C113 | C2 | semidirect |
| 82. C22⋊D113 | D8 | semidirect |
| 95. C8×C113 | #41 | semidirect |
| 124. C113 | #3334 | semidirect |
| 131. #466 | D113 | semidirect |
| 221. C8 | #14268646 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299248 | 2 |
| #20299002 | 2 |
| #20298910 | 2 |
| #20298909 | 2 |
| #20298876 | 2 |
| #20298831 | 2 |
| D8×Dic113 | 2 |
| C8×C22⋊D113 | 2 |
| C2×#16813556 | 2 |
| #107×D113 | 2 |
| #466×C113 | 2 |
| #3334 | 113 |