Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 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. #20298972 | C2 | semidirect |
| 3. #20298946 | C2 | semidirect |
| 4. #20298798 | C2 | semidirect |
| 5. #20298748 | C2 | semidirect |
| 6. #20298651 | C2 | semidirect |
| 7. #533×C113 | C2 | semidirect |
| 11. C2×#14268634 | C22 | semidirect |
| 16. C4⋊#11744751 | C22 | semidirect |
| 17. #16813542 | C22 | semidirect |
| 19. C4×#11744751 | C22 | semidirect |
| 20. C4⋊Q8×C113 | C22 | semidirect |
| 21. C4⋊Q8×C113 | C22 | semidirect |
| 26. C4×Q8×C113 | C22 | semidirect |
| 69. C2×C4×C113 | SD16 | semidirect |
| 105. C113 | #3208 | semidirect |
| 106. #533 | D113 | semidirect |
| 117. C4⋊Q8 | C2×D113 | semidirect |
| 118. C4⋊Q8 | C2×D113 | semidirect |
| 127. C4×Q8 | C2×D113 | semidirect |
| 180. C2×C4 | #14268634 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813619 | 2 |
| #20298972 | 2 |
| #20298946 | 2 |
| #20298798 | 2 |
| #20298748 | 2 |
| #20298651 | 2 |
| #533×C113 | 2 |
| #3208 | 113 |