Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
400 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 160 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. #20299623 | C2 | semidirect |
| 2. #20299617 | C2 | semidirect |
| 3. #20299616 | C2 | semidirect |
| 4. #20299605 | C2 | semidirect |
| 6. C4×#14268657 | C2 | semidirect |
| 7. C4×#14268655 | C2 | semidirect |
| 105. C113 | #2922 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299623 | 2 |
| #20299617 | 2 |
| #20299616 | 2 |
| #20299605 | 2 |
| #20299573 | 2 |
| C4×#14268657 | 2 |
| C4×#14268655 | 2 |
| C4×#14268648 | 2 |
| #2922 | 113 |