Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
230 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 70 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 |
|---|---|---|
| 19. #16813554 | C4 | semidirect |
| 20. #16813553 | C4 | semidirect |
| 21. #16813553 | C4 | semidirect |
| 22. #106×C113 | C4 | semidirect |
| 108. C113 | #1920 | semidirect |
| 128. #106 | #90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299549 | 2 |
| C4⋊C4×#90673 | 2 |
| #20299472 | 2 |
| #20299471 | 2 |
| #20299463 | 2 |
| #106×D113 | 2 |
| #1920 | 113 |