Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 1. C2×C4×Dic226 | C2 | semidirect |
| 2. #20298931 | C2 | semidirect |
| 4. #20298902 | C2 | semidirect |
| 5. #20298817 | C2 | semidirect |
| 6. #20298753 | C2 | semidirect |
| 8. #20298703 | C2 | semidirect |
| 9. #20298698 | C2 | semidirect |
| 10. #20298655 | C2 | semidirect |
| 132. C113 | #3117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic226 | 2 |
| #20298931 | 2 |
| #20298914 | 2 |
| #20298902 | 2 |
| #20298817 | 2 |
| #20298753 | 2 |
| #20298736 | 2 |
| #20298703 | 2 |
| #20298698 | 2 |
| #20298655 | 2 |
| #529×C113 | 2 |
| #3117 | 113 |