Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
362 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 362 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. #20298908 | C2 | semidirect |
| 4. #20298904 | C2 | semidirect |
| 5. #20298892 | C2 | semidirect |
| 6. #20298882 | C2 | semidirect |
| 44. C2×Dic226 | Q8 | semidirect |
| 117. C113 | #3082 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299229 | 2 |
| #20299075 | 2 |
| #20298908 | 2 |
| #20298904 | 2 |
| #20298892 | 2 |
| #20298882 | 2 |
| #20298634 | 2 |
| #20298626 | 2 |
| #20298608 | 2 |
| C2×#16813545 | 2 |
| #428×C113 | 2 |
| #3082 | 113 |