Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
222 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 60 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 |
|---|---|---|
| 1. #20299605 | C2 | semidirect |
| 4. C2×#16813676 | C2 | semidirect |
| 5. #20299474 | C2 | semidirect |
| 6. #20299468 | C2 | semidirect |
| 21. #16813546 | C4 | semidirect |
| 22. #16813544 | C4 | semidirect |
| 23. #16813542 | C4 | semidirect |
| 24. #103×C113 | C4 | semidirect |
| 106. C113 | #1938 | semidirect |
| 125. #103 | #90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299605 | 2 |
| C2×#16813687 | 2 |
| #20299573 | 2 |
| C2×#16813676 | 2 |
| #20299474 | 2 |
| #20299468 | 2 |
| #20298593 | 2 |
| #1938 | 113 |