Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
232 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 232 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 |
|---|---|---|
| 9. #16813691 | C4 | semidirect |
| 10. #16813690 | C4 | semidirect |
| 13. C8×#90673 | C4 | semidirect |
| 14. C8×#90673 | C4 | semidirect |
| 17. #16813558 | C4 | semidirect |
| 18. #16813557 | C4 | semidirect |
| 19. #108×C113 | C4 | semidirect |
| 74. C113 | #1772 | semidirect |
| 87. #108 | #90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299608 | 2 |
| #20299564 | 2 |
| C2×C8×#90673 | 2 |
| #20299470 | 2 |
| #108×D113 | 2 |
| #1772 | 113 |