Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
300 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 70 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×#16813693 | C2 | semidirect |
| 2. C2×#16813687 | C2 | semidirect |
| 3. #20299573 | C2 | semidirect |
| 4. C2×C8×#90673 | C2 | semidirect |
| 16. C2×#14268634 | C4 | semidirect |
| 17. C2×D904 | C4 | semidirect |
| 19. C2×Q16×C113 | C4 | semidirect |
| 86. C113 | #1974 | semidirect |
| 95. C2×Q16 | #90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813693 | 2 |
| C2×#16813687 | 2 |
| #20299573 | 2 |
| C2×C8×#90673 | 2 |
| C2×#16813645 | 2 |
| #1974 | 113 |