Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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. #20298880 | C2 | semidirect |
| 5. #20298809 | C2 | semidirect |
| 6. #20298808 | C2 | semidirect |
| 8. #20298704 | C2 | semidirect |
| 9. #20298702 | C2 | semidirect |
| 11. #475×C113 | C2 | semidirect |
| 133. C113 | #3113 | semidirect |
| 138. #475 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299153 | 2 |
| C4×Q8×D113 | 2 |
| #20298930 | 2 |
| #20298880 | 2 |
| #20298809 | 2 |
| #20298808 | 2 |
| #20298755 | 2 |
| #20298704 | 2 |
| #20298702 | 2 |
| #20298654 | 2 |
| #475×C113 | 2 |
| #3113 | 113 |