Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
402 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 109 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. #20299178 | C2 | semidirect |
| 2. #20298927 | C2 | semidirect |
| 3. #20298918 | C2 | semidirect |
| 4. #20298851 | C2 | semidirect |
| 5. #20298829 | C2 | semidirect |
| 6. #20298759 | C2 | semidirect |
| 7. #20298746 | C2 | semidirect |
| 8. #20298566 | C2 | semidirect |
| 9. #470×C113 | C2 | semidirect |
| 118. C113 | #3204 | semidirect |
| 122. #470 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299178 | 2 |
| #20298927 | 2 |
| #20298918 | 2 |
| #20298851 | 2 |
| #20298829 | 2 |
| #20298759 | 2 |
| #20298746 | 2 |
| #20298566 | 2 |
| #470×C113 | 2 |
| #3204 | 113 |