Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
704 conjugacy classes of subgroups; only the 289 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 289 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. #20299365 | C2 | semidirect |
| 2. #20298582 | C2 | semidirect |
| 3. C2×#16813541 | C2 | semidirect |
| 60. C113 | #2889 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299365 | 2 |
| #20298582 | 2 |
| C2×#16813541 | 2 |
| C2×2−1+4×C113 | 2 |
| #2889 | 113 |