Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
400 conjugacy classes of subgroups; only the 210 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 210 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×#16813697 | C2 | semidirect |
| 2. #20299654 | C2 | direct (N × H) |
| 3. C2×#16813696 | C2 | semidirect |
| 4. C2×#16813695 | C2 | semidirect |
| 6. #16813697 | C22 | semidirect |
| 7. #16813696 | C22 | semidirect |
| 8. #16813695 | C22 | semidirect |
| 9. C2×#14268650 | C22 | semidirect |
| 19. #14268650 | C23 | semidirect |
| 70. C2×D113 | M32 | semidirect |
| 79. C2×C113 | C2×M32 | semidirect |
| 82. D113 | C2×M32 | semidirect |
| 84. C113 | C22×M32 | semidirect |
| 165. C2 | #20299654 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813697 | 2 |
| #20299654 | 2 |
| C2×#16813696 | 2 |
| C2×#16813695 | 2 |
| C22×C8×D113 | 2 |
| C22×M32 | 113 |