Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
1540 conjugacy classes of subgroups; only the 805 normal subgroups are shown.
This group has 1540 conjugacy classes of subgroups — too many to draw. Only its 805 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. #20299080 | C2 | semidirect |
| 3. #20299076 | C2 | semidirect |
| 4. #20299072 | C2 | semidirect |
| 5. C4×#14268648 | C2 | semidirect |
| 6. #117×D113 | C2 | semidirect |
| 7. #519×C113 | C2 | semidirect |
| 8. C2×#14268648 | C4 | semidirect |
| 13. Q8×Dic113 | C22 | semidirect |
| 14. C4×D452 | C22 | semidirect |
| 15. #16813584 | C22 | semidirect |
| 17. #16813580 | C22 | semidirect |
| 18. #16813579 | C22 | semidirect |
| 20. C4⋊C4×D113 | C22 | semidirect |
| 22. C42×D113 | C22 | semidirect |
| 24. C4×Q8×C113 | C22 | semidirect |
| 27. #14268648 | C2×C4 | semidirect |
| 28. #14268648 | C2×C4 | semidirect |
| 29. C2×D452 | C2×C4 | semidirect |
| 32. C2×C4×D113 | C2×C4 | semidirect |
| 42. C2×Q8×C113 | C2×C4 | semidirect |
| 80. C113 | #3428 | semidirect |
| 84. #519 | D113 | semidirect |
| 95. C4×Q8 | C2×D113 | semidirect |
| 109. C2×Q8 | C4×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14268648 | 2 |
| #20299080 | 2 |
| #20299076 | 2 |
| #20299072 | 2 |
| C4×#14268648 | 2 |
| #117×D113 | 2 |
| #519×C113 | 2 |
| #3428 | 113 |