Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
484 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 143 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×#16813653 | C2 | semidirect |
| 3. C2×Q8×Dic113 | C2 | semidirect |
| 4. #20298822 | C2 | semidirect |
| 5. #20298818 | C2 | semidirect |
| 6. #20298806 | C2 | semidirect |
| 7. #20298796 | C2 | semidirect |
| 8. #20298621 | C2 | semidirect |
| 9. #20298600 | C2 | semidirect |
| 10. #20298599 | C2 | semidirect |
| 11. C2×#137×C113 | C2 | semidirect |
| 80. C2×Q8×C113 | D4 | semidirect |
| 150. Dic113 | #137 | semidirect |
| 158. C113 | #3037 | semidirect |
| 160. C2×#137 | D113 | semidirect |
| 210. C2×Q8 | C22⋊D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813653 | 2 |
| #20299144 | 2 |
| C2×Q8×Dic113 | 2 |
| #20298822 | 2 |
| #20298818 | 2 |
| #20298806 | 2 |
| #20298796 | 2 |
| #20298621 | 2 |
| #20298600 | 2 |
| #20298599 | 2 |
| C2×#137×C113 | 2 |
| #3037 | 113 |