Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
240 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 21. C4⋊#11744751 | C4 | semidirect |
| 22. #16813551 | C4 | semidirect |
| 23. #16813551 | C4 | semidirect |
| 24. C4⋊C8×C113 | C4 | semidirect |
| 111. C113 | #1949 | semidirect |
| 132. C4⋊C8 | #90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813691 | 2 |
| C2×#16813690 | 2 |
| #20299542 | 2 |
| C4×C4⋊#90673 | 2 |
| #20299472 | 2 |
| C4⋊C8×D113 | 2 |
| #1949 | 113 |