Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
460 conjugacy classes of subgroups; only the 202 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 202 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. #20299613 | C2 | direct (N × H) |
| 4. C2×#16813693 | C2 | semidirect |
| 5. C2×#16813692 | C2 | semidirect |
| 18. #16813693 | C22 | semidirect |
| 19. #16813692 | C22 | semidirect |
| 104. C2×C113 | #430 | semidirect |
| 110. C113 | C2×#430 | semidirect |
| 217. C2 | #20299613 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14268657 | 2 |
| C2×D113⋊M16 | 2 |
| #20299613 | 2 |
| C2×#16813693 | 2 |
| C2×#16813692 | 2 |
| C2×M16×D113 | 2 |
| C2×#430 | 113 |