Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
460 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 149 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. #20298935 | C2 | direct (N × H) |
| 4. C2×#16813555 | C2 | semidirect |
| 5. C2×#16813547 | C2 | semidirect |
| 6. C2×#16813545 | C2 | semidirect |
| 8. C2×#107×C113 | C2 | semidirect |
| 21. #16813555 | C22 | semidirect |
| 22. #16813547 | C22 | semidirect |
| 23. #16813545 | C22 | semidirect |
| 28. #107×C113 | C22 | semidirect |
| 103. C2×C113 | #484 | semidirect |
| 109. C113 | C2×#484 | semidirect |
| 114. C2×#107 | D113 | semidirect |
| 134. #107 | C2×D113 | semidirect |
| 213. C2 | #20298935 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813602 | 2 |
| C2×C4⋊C4×D113 | 2 |
| #20298935 | 2 |
| C2×#16813555 | 2 |
| C2×#16813547 | 2 |
| C2×#16813545 | 2 |
| C2×#16813534 | 2 |
| C2×#107×C113 | 2 |
| C2×#484 | 113 |