Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
320 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 105 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. M16×Dic113 | C2 | semidirect |
| 5. #20298444 | C2 | semidirect |
| 6. #20298357 | C2 | semidirect |
| 7. #339×C113 | C2 | semidirect |
| 10. #16813587 | C4 | semidirect |
| 11. #16813584 | C4 | semidirect |
| 17. #16813550 | C4 | semidirect |
| 18. #16813548 | C4 | semidirect |
| 37. #14268631 | C2×C4 | semidirect |
| 44. C4×Dic113 | C2×C4 | semidirect |
| 50. M16×C113 | C2×C4 | semidirect |
| 56. C42×C113 | C2×C4 | semidirect |
| 107. C113 | #1759 | semidirect |
| 114. #339 | D113 | semidirect |
| 148. M16 | C4×D113 | semidirect |
| 163. C42 | C4×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299066 | 2 |
| C2×#16813550 | 2 |
| C2×#16813548 | 2 |
| M16×Dic113 | 2 |
| #20298444 | 2 |
| #20298357 | 2 |
| #339×C113 | 2 |
| #1759 | 113 |