Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
408 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 74 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×#16813680 | C2 | semidirect |
| 2. #20299540 | C2 | semidirect |
| 3. C4×C22⋊#90673 | C2 | semidirect |
| 18. C2×C4⋊Dic113 | C4 | semidirect |
| 19. C2×C22⋊Dic113 | C4 | semidirect |
| 20. C22×D4×C113 | C4 | semidirect |
| 26. C22⋊#90673 | D4 | semidirect |
| 103. C4×C113 | #99 | semidirect |
| 116. C113 | #1964 | semidirect |
| 122. C22×D4 | #90673 | semidirect |
| 222. C4 | #16813680 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813680 | 2 |
| #20299540 | 2 |
| C4×C22⋊#90673 | 2 |
| C2×#16813593 | 2 |
| #1964 | 113 |