Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
260 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 98 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. #16813689 | C4 | semidirect |
| 13. C4⋊#11744753 | C4 | semidirect |
| 21. C4⋊#11744751 | C4 | semidirect |
| 22. #16813551 | C4 | semidirect |
| 23. #16813551 | C4 | semidirect |
| 24. C4⋊C8×C113 | C4 | semidirect |
| 98. C113 | #1768 | semidirect |
| 118. C4⋊C8 | #90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299599 | 2 |
| C2×#16813676 | 2 |
| C2×C8×#90673 | 2 |
| #20299534 | 2 |
| #20299463 | 2 |
| C4⋊C8×D113 | 2 |
| #1768 | 113 |