Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
456 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 181 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 |
|---|---|---|
| 4. #20298702 | C2 | semidirect |
| 5. #20298690 | C2 | semidirect |
| 11. C2×#14268637 | C4 | semidirect |
| 99. C113 | #2950 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14268637 | 2 |
| #20299076 | 2 |
| #20299075 | 2 |
| #20298702 | 2 |
| #20298690 | 2 |
| #20298634 | 2 |
| #20298608 | 2 |
| #20298556 | 2 |
| #419×C113 | 2 |
| #2950 | 113 |