Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
160 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 51 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. #20299002 | C2 | semidirect |
| 3. #20298400 | C2 | semidirect |
| 4. #20298399 | C2 | semidirect |
| 5. #20298398 | C2 | semidirect |
| 6. C16×Dic113 | C2 | semidirect |
| 7. #357×C113 | C2 | semidirect |
| 73. C113 | #2240 | semidirect |
| 79. #357 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299002 | 2 |
| #20298973 | 2 |
| #20298400 | 2 |
| #20298399 | 2 |
| #20298398 | 2 |
| C16×Dic113 | 2 |
| #357×C113 | 2 |
| #2240 | 113 |