Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
600 conjugacy classes of subgroups; only the 210 normal subgroups are shown.
This group has 600 conjugacy classes of subgroups — too many to draw. Only its 210 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 |
|---|---|---|
| 2. #20299549 | C2 | semidirect |
| 13. C2×C4⋊Dic113 | C4 | semidirect |
| 14. C2×#14268626 | C4 | semidirect |
| 15. C4⋊C4×D113 | C4 | semidirect |
| 17. C2×C4⋊C4×C113 | C4 | semidirect |
| 49. C2×C4×C113 | C4⋊C4 | semidirect |
| 53. C2×Dic113 | C4⋊C4 | semidirect |
| 58. C4×D113 | C4⋊C4 | semidirect |
| 87. C113 | #2316 | semidirect |
| 101. C2×C4⋊C4 | #90673 | semidirect |
| 145. C2×C4 | C4⋊#90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813701 | 2 |
| #20299549 | 2 |
| #20299540 | 2 |
| C2×C4⋊C4×D113 | 2 |
| #2316 | 113 |