Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
384 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 82 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×#16813691 | C2 | semidirect |
| 2. C2×#16813684 | C2 | semidirect |
| 3. C2×C8×#90673 | C2 | semidirect |
| 4. #20299550 | C2 | semidirect |
| 14. C2×D904 | C4 | semidirect |
| 15. C2×#14268632 | C4 | semidirect |
| 19. C2×D8×C113 | C4 | semidirect |
| 57. C2×#90673 | D8 | semidirect |
| 71. C8×C113 | C22⋊C4 | semidirect |
| 72. #11744751 | C22⋊C4 | semidirect |
| 99. C113 | #1970 | semidirect |
| 110. C2×D8 | #90673 | semidirect |
| 171. C8 | C22⋊#90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813691 | 2 |
| C2×#16813684 | 2 |
| C2×C8×#90673 | 2 |
| #20299550 | 2 |
| C2×D8×D113 | 2 |
| #1970 | 113 |