Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
336 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 3. C2×#16813532 | C2 | semidirect |
| 4. C2×C8×Dic113 | C2 | semidirect |
| 5. #20298352 | C2 | semidirect |
| 6. #20298352 | C2 | semidirect |
| 16. C22⋊#11744751 | C4 | semidirect |
| 22. C22⋊C8×C113 | C4 | semidirect |
| 105. C113 | #1750 | semidirect |
| 125. C22⋊C8 | Dic113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813581 | 2 |
| C2×C22⋊#11744751 | 2 |
| C2×#16813532 | 2 |
| C2×C8×Dic113 | 2 |
| #20298352 | 2 |
| C2×C22⋊C8×C113 | 2 |
| #1750 | 113 |