Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
186 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 186 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 |
|---|---|---|
| 19. #16813556 | C4 | semidirect |
| 20. #16813553 | C4 | semidirect |
| 21. #16813553 | C4 | semidirect |
| 22. #107×C113 | C4 | semidirect |
| 89. C113 | #1922 | semidirect |
| 105. #107 | #90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299605 | 2 |
| #20299563 | 2 |
| #20299474 | 2 |
| #20299468 | 2 |
| #20299463 | 2 |
| #20298635 | 2 |
| #1922 | 113 |