Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
988 conjugacy classes of subgroups; only the 549 normal subgroups are shown.
This group has 988 conjugacy classes of subgroups — too many to draw. Only its 549 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. #20299324 | C2 | semidirect |
| 2. #20299307 | C2 | semidirect |
| 3. #20299226 | C2 | semidirect |
| 4. #20299155 | C2 | semidirect |
| 5. C2×#16813614 | C2 | semidirect |
| 39. #41×C113 | Q8 | semidirect |
| 75. C113 | #3504 | semidirect |
| 103. #41 | Dic226 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299324 | 2 |
| #20299307 | 2 |
| #20299226 | 2 |
| #20299155 | 2 |
| C2×#16813614 | 2 |
| #20299081 | 2 |
| C4×#41×C113 | 2 |
| #3504 | 113 |