Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
514 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 514 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. C2×#16813596 | C2 | semidirect |
| 2. #20298917 | C2 | semidirect |
| 3. #20298851 | C2 | semidirect |
| 4. #20298734 | C2 | semidirect |
| 5. #407×C113 | C2 | semidirect |
| 6. C22×D452 | C22 | semidirect |
| 8. C2×D904 | C22 | semidirect |
| 12. #16813596 | C22 | semidirect |
| 13. C2×C4⋊Dic113 | C22 | semidirect |
| 15. #16813554 | C22 | semidirect |
| 16. #16813544 | C22 | semidirect |
| 18. C2×M16×C113 | C22 | semidirect |
| 19. C22⋊C8×C113 | C22 | semidirect |
| 84. C113 | #3192 | semidirect |
| 89. #407 | D113 | semidirect |
| 94. C2×M16 | C2×D113 | semidirect |
| 103. C22⋊C8 | C2×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813596 | 2 |
| #20298917 | 2 |
| #20298851 | 2 |
| #20298734 | 2 |
| #407×C113 | 2 |
| #3192 | 113 |