Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
362 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 73 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×#16813620 | C2 | semidirect |
| 5. C2×#16813540 | C2 | semidirect |
| 6. #20298357 | C2 | semidirect |
| 7. #419×C113 | C2 | semidirect |
| 126. C113 | #2005 | semidirect |
| 131. #419 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813653 | 2 |
| #20299174 | 2 |
| C2×#16813620 | 2 |
| C2×#16813548 | 2 |
| C2×#16813540 | 2 |
| #20298357 | 2 |
| #419×C113 | 2 |
| #2005 | 113 |