Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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×#16813620 | C2 | semidirect |
| 3. #20298991 | C2 | semidirect |
| 4. #20298965 | C2 | semidirect |
| 5. #20298806 | C2 | semidirect |
| 6. #20298802 | C2 | semidirect |
| 7. #20298753 | C2 | semidirect |
| 10. #20298652 | C2 | semidirect |
| 11. #451×C113 | C2 | semidirect |
| 138. C113 | #3218 | semidirect |
| 146. #451 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813620 | 2 |
| #20299134 | 2 |
| #20298991 | 2 |
| #20298965 | 2 |
| #20298806 | 2 |
| #20298802 | 2 |
| #20298753 | 2 |
| #20298739 | 2 |
| #20298737 | 2 |
| #20298652 | 2 |
| #451×C113 | 2 |
| #3218 | 113 |