Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
532 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 137 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. C2×#16813651 | C2 | semidirect |
| 3. C2×Q16×D113 | C2 | semidirect |
| 4. #20299168 | C2 | semidirect |
| 5. #20298993 | C2 | semidirect |
| 6. #20298989 | C2 | semidirect |
| 7. #20298981 | C2 | semidirect |
| 8. #20298978 | C2 | semidirect |
| 9. #20298976 | C2 | semidirect |
| 10. #20298552 | C2 | semidirect |
| 11. #495×C113 | C2 | semidirect |
| 122. C113 | #3156 | semidirect |
| 130. #495 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813651 | 2 |
| C2×#16813641 | 2 |
| C2×Q16×D113 | 2 |
| #20299168 | 2 |
| #20298993 | 2 |
| #20298989 | 2 |
| #20298981 | 2 |
| #20298978 | 2 |
| #20298976 | 2 |
| #20298552 | 2 |
| #495×C113 | 2 |
| #3156 | 113 |