Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
544 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 165 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×#16813620 | C2 | semidirect |
| 4. #20298801 | C2 | direct (N × H) |
| 5. C2×#16813551 | C2 | semidirect |
| 6. C2×#16813547 | C2 | semidirect |
| 7. C2×#16813546 | C2 | semidirect |
| 15. #16813620 | C22 | semidirect |
| 23. #16813551 | C22 | semidirect |
| 24. #16813547 | C22 | semidirect |
| 25. #16813546 | C22 | semidirect |
| 88. C2×Dic113 | SD16 | semidirect |
| 111. Dic113 | C2×SD16 | semidirect |
| 113. C2×C113 | #461 | semidirect |
| 118. C113 | C2×#461 | semidirect |
| 231. C2 | #20298801 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14268635 | 2 |
| C2×#16813620 | 2 |
| C2×D4×Dic113 | 2 |
| #20298801 | 2 |
| C2×#16813551 | 2 |
| C2×#16813547 | 2 |
| C2×#16813546 | 2 |
| C22×SD16×C113 | 2 |
| C2×#461 | 113 |