Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
362 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 103 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. C2×#16813556 | C2 | semidirect |
| 5. #20298496 | C2 | semidirect |
| 6. #20298361 | C2 | semidirect |
| 7. #336×C113 | C2 | semidirect |
| 19. #16813544 | C4 | semidirect |
| 41. C4⋊Dic113 | C2×C4 | semidirect |
| 53. C2×C8×C113 | C2×C4 | semidirect |
| 88. D452 | C4⋊C4 | semidirect |
| 124. C113 | #1862 | semidirect |
| 131. #336 | D113 | semidirect |
| 169. C2×C8 | C4×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D452 | 2 |
| C2×#16813556 | 2 |
| C2×#16813544 | 2 |
| #20298496 | 2 |
| #20298361 | 2 |
| #336×C113 | 2 |
| #1862 | 113 |