Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
332 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 332 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 |
|---|---|---|
| 1. C2×#16813629 | C2 | semidirect |
| 2. #20298599 | C2 | semidirect |
| 3. C2×#16813543 | C2 | semidirect |
| 4. C2×#16813539 | C2 | semidirect |
| 5. #20298366 | C2 | semidirect |
| 6. #20298362 | C2 | semidirect |
| 24. AGL(1,ℤ/8)×C113 | C4 | semidirect |
| 124. C113 | #1907 | semidirect |
| 135. AGL(1,ℤ/8) | Dic113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813629 | 2 |
| #20298599 | 2 |
| C2×#16813543 | 2 |
| C2×#16813539 | 2 |
| #20298366 | 2 |
| #20298362 | 2 |
| C2×AGL(1,ℤ/8)×C113 | 2 |
| #1907 | 113 |