Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
292 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 12. #16813622 | C4 | semidirect |
| 14. #16813621 | C4 | semidirect |
| 19. C4⋊Q8×C113 | C4 | semidirect |
| 24. C4⋊#90673 | Q8 | semidirect |
| 87. C113 | #1987 | semidirect |
| 98. C4⋊Q8 | #90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299599 | 2 |
| C4×C4⋊#90673 | 2 |
| #20299471 | 2 |
| C4⋊Q8×D113 | 2 |
| #1987 | 113 |