Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
484 conjugacy classes of subgroups; only the 206 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 206 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 |
|---|---|---|
| 2. #20299605 | C2 | semidirect |
| 3. #20299602 | C2 | semidirect |
| 4. #20299599 | C2 | semidirect |
| 59. C4×C113 | #131 | semidirect |
| 69. C113 | #2906 | semidirect |
| 132. C4 | #16813710 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813710 | 2 |
| #20299605 | 2 |
| #20299602 | 2 |
| #20299599 | 2 |
| C4×#14268648 | 2 |
| #2906 | 113 |