Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
368 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 2. #20299002 | C2 | semidirect |
| 3. #20298976 | C2 | semidirect |
| 4. #20298947 | C2 | semidirect |
| 8. C4×Dic452 | C2 | semidirect |
| 9. C4×#14268637 | C2 | semidirect |
| 11. C4×Q16×C113 | C2 | semidirect |
| 87. C4×D113 | Q16 | semidirect |
| 115. C113 | #3170 | semidirect |
| 125. C4×Q16 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299152 | 2 |
| #20299002 | 2 |
| #20298976 | 2 |
| #20298947 | 2 |
| #20298840 | 2 |
| #20298838 | 2 |
| #20298836 | 2 |
| C4×Dic452 | 2 |
| C4×#14268637 | 2 |
| C4×C8×D113 | 2 |
| C4×Q16×C113 | 2 |
| #3170 | 113 |