Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
492 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 189 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. #20299075 | C2 | semidirect |
| 4. #20298700 | C2 | semidirect |
| 5. C4×#14268636 | C2 | semidirect |
| 6. #20298636 | C2 | semidirect |
| 7. #20298608 | C2 | semidirect |
| 9. #405×C113 | C2 | semidirect |
| 12. C2×#14268636 | C4 | semidirect |
| 15. C4×Dic226 | C22 | semidirect |
| 23. #16813556 | C22 | semidirect |
| 24. #16813554 | C22 | semidirect |
| 25. #16813547 | C22 | semidirect |
| 30. #97×C113 | C22 | semidirect |
| 31. C4×C8×C113 | C22 | semidirect |
| 35. C2×Dic226 | C2×C4 | semidirect |
| 43. #14268636 | C2×C4 | semidirect |
| 44. #14268636 | C2×C4 | semidirect |
| 56. C2×C8×C113 | C2×C4 | semidirect |
| 104. C113 | #2949 | semidirect |
| 113. #405 | D113 | semidirect |
| 134. #97 | C2×D113 | semidirect |
| 135. C4×C8 | C2×D113 | semidirect |
| 151. C2×C8 | C4×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14268636 | 2 |
| #20299075 | 2 |
| #20299072 | 2 |
| #20298700 | 2 |
| C4×#14268636 | 2 |
| #20298636 | 2 |
| #20298608 | 2 |
| #20298604 | 2 |
| #405×C113 | 2 |
| #2949 | 113 |