Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
210 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 55 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. #20299326 | C2 | semidirect |
| 4. #20298345 | C2 | semidirect |
| 5. Q8⋊#11744751 | C2 | semidirect |
| 6. #20298328 | C2 | semidirect |
| 68. Dic226 | SD16 | semidirect |
| 91. C113 | #1626 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299326 | 2 |
| #20298944 | 2 |
| #20298795 | 2 |
| #20298345 | 2 |
| Q8⋊#11744751 | 2 |
| #20298328 | 2 |
| #460×C113 | 2 |
| #1626 | 113 |