Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
180 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 3. #20298350 | C2 | semidirect |
| 4. #20298348 | C2 | semidirect |
| 19. #14268631 | C8 | semidirect |
| 49. #11744751 | C2×C8 | semidirect |
| 67. C113 | #1565 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊#11744751 | 2 |
| C4×#14268631 | 2 |
| #20298350 | 2 |
| #20298348 | 2 |
| #431×C113 | 2 |
| #1565 | 113 |