Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 125 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. #20299253 | C2 | semidirect |
| 2. #20299003 | C2 | semidirect |
| 3. #20298910 | C2 | semidirect |
| 4. #20298878 | C2 | semidirect |
| 5. #20298831 | C2 | semidirect |
| 6. C8×D452 | C2 | semidirect |
| 7. #107×D113 | C2 | semidirect |
| 8. C4×D8×C113 | C2 | semidirect |
| 62. D452 | D8 | semidirect |
| 68. C8×C113 | #41 | semidirect |
| 90. C113 | #3334 | semidirect |
| 96. C4×D8 | D113 | semidirect |
| 159. C8 | #14268647 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299253 | 2 |
| #20299003 | 2 |
| #20298910 | 2 |
| #20298878 | 2 |
| #20298831 | 2 |
| C8×D452 | 2 |
| #107×D113 | 2 |
| C4×D8×C113 | 2 |
| #3334 | 113 |