Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
504 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 197 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. #20298496 | C2 | semidirect |
| 4. #20298462 | C2 | semidirect |
| 6. C4×C4⋊Dic113 | C2 | semidirect |
| 7. #20298443 | C2 | semidirect |
| 9. #16813581 | C4 | semidirect |
| 95. C113 | #2346 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813581 | 2 |
| #20298496 | 2 |
| #20298486 | 2 |
| #20298462 | 2 |
| #20298458 | 2 |
| C4×C4⋊Dic113 | 2 |
| #20298443 | 2 |
| C4×C22⋊C4×C113 | 2 |
| #2346 | 113 |