Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
376 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 376 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 |
|---|---|---|
| 1. #20299229 | C2 | semidirect |
| 3. #20298908 | C2 | semidirect |
| 4. #20298897 | C2 | semidirect |
| 5. #20298887 | C2 | semidirect |
| 6. #20298882 | C2 | semidirect |
| 7. #20298638 | C2 | semidirect |
| 8. #20298624 | C2 | semidirect |
| 11. C2×#106×C113 | C2 | semidirect |
| 42. #14268647 | Q8 | semidirect |
| 124. C113 | #3084 | semidirect |
| 132. C2×#106 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299229 | 2 |
| #20299079 | 2 |
| #20298908 | 2 |
| #20298897 | 2 |
| #20298887 | 2 |
| #20298882 | 2 |
| #20298638 | 2 |
| #20298624 | 2 |
| #20298597 | 2 |
| #20298595 | 2 |
| C2×#106×C113 | 2 |
| #3084 | 113 |