Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
168 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 3. #20299489 | C2 | semidirect |
| 4. #20299488 | C2 | semidirect |
| 9. #16813696 | C4 | semidirect |
| 10. #16813695 | C4 | semidirect |
| 16. #16813562 | C4 | semidirect |
| 18. C16×D113 | C4 | semidirect |
| 19. M32×C113 | C4 | semidirect |
| 28. #14268650 | C2×C4 | semidirect |
| 35. #14268622 | C2×C4 | semidirect |
| 37. C16×C113 | C2×C4 | semidirect |
| 67. D113 | #347 | semidirect |
| 69. C113 | C2×#347 | semidirect |
| 82. M32 | #90673 | semidirect |
| 106. C16 | C2×#90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299654 | 2 |
| C2×#16813676 | 2 |
| #20299489 | 2 |
| #20299488 | 2 |
| M32×D113 | 2 |
| C2×#347 | 113 |