Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
600 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 600 conjugacy classes of subgroups — too many to draw. Only its 229 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. #20298495 | C2 | semidirect |
| 4. #20298493 | C2 | semidirect |
| 12. C2×#14268626 | C4 | semidirect |
| 67. C2×Dic113 | C4⋊C4 | semidirect |
| 95. C113 | #2316 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813578 | 2 |
| C22×#14268626 | 2 |
| #20298495 | 2 |
| #20298493 | 2 |
| #20298458 | 2 |
| #20298456 | 2 |
| #380×C113 | 2 |
| #2316 | 113 |