Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
360 conjugacy classes of subgroups; only the 198 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 198 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. #20299657 | C2 | semidirect |
| 2. #20299654 | C2 | semidirect |
| 3. C2×#16813696 | C2 | semidirect |
| 5. #16813697 | C22 | semidirect |
| 7. #16813696 | C22 | semidirect |
| 8. #16813695 | C22 | semidirect |
| 9. C2×#14268650 | C22 | semidirect |
| 64. C113 | #3407 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299657 | 2 |
| #20299654 | 2 |
| C2×#16813696 | 2 |
| C2×#16813630 | 2 |
| #3407 | 113 |