Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
280 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 80 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×#16813689 | C2 | semidirect |
| 4. C2×#16813677 | C2 | semidirect |
| 5. #20299464 | C2 | semidirect |
| 6. #20299464 | C2 | semidirect |
| 123. C113 | #1924 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813689 | 2 |
| C2×#16813679 | 2 |
| C2×#16813677 | 2 |
| #20299464 | 2 |
| #20298445 | 2 |
| #1924 | 113 |