Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
320 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 2. #20298621 | C2 | semidirect |
| 3. C2×#16813550 | C2 | semidirect |
| 4. C2×#16813549 | C2 | semidirect |
| 5. C2×#16813548 | C2 | semidirect |
| 6. #20298444 | C2 | semidirect |
| 7. C2×#104×C113 | C2 | semidirect |
| 10. #16813620 | C4 | semidirect |
| 11. #16813618 | C4 | semidirect |
| 12. #16813611 | C4 | semidirect |
| 13. #16813609 | C4 | semidirect |
| 48. C4×Dic113 | D4 | semidirect |
| 63. C42×C113 | D4 | semidirect |
| 126. C113 | #1963 | semidirect |
| 132. C2×#104 | D113 | semidirect |
| 189. C42 | C22⋊D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299144 | 2 |
| #20298621 | 2 |
| C2×#16813550 | 2 |
| C2×#16813549 | 2 |
| C2×#16813548 | 2 |
| #20298444 | 2 |
| C2×#104×C113 | 2 |
| #1963 | 113 |