Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
448 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 157 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. #20298895 | C2 | direct (N × H) |
| 3. C2×#16813555 | C2 | semidirect |
| 4. C2×#16813553 | C2 | semidirect |
| 5. C2×C4⋊#11744751 | C2 | semidirect |
| 8. C2×#125×C113 | C2 | semidirect |
| 17. #16813555 | C22 | semidirect |
| 18. #16813553 | C22 | semidirect |
| 19. C4⋊#11744751 | C22 | semidirect |
| 23. #125×C113 | C22 | semidirect |
| 98. C2×C113 | #478 | semidirect |
| 104. C113 | C2×#478 | semidirect |
| 105. C2×#125 | D113 | semidirect |
| 118. #125 | C2×D113 | semidirect |
| 203. C2 | #20298895 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D452 | 2 |
| #20298895 | 2 |
| C2×#16813555 | 2 |
| C2×#16813553 | 2 |
| C2×C4⋊#11744751 | 2 |
| C2×#16813542 | 2 |
| C2×#125×C113 | 2 |
| C2×#478 | 113 |