Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
388 conjugacy classes of subgroups; only the 156 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 156 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. #20299648 | C2 | semidirect |
| 2. #20299633 | C2 | semidirect |
| 3. #20299630 | C2 | semidirect |
| 4. #20299618 | C2 | semidirect |
| 5. #20299616 | C2 | semidirect |
| 6. #20299601 | C2 | semidirect |
| 7. #20299599 | C2 | semidirect |
| 80. C4×D113 | M16 | semidirect |
| 108. C113 | #2989 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299648 | 2 |
| #20299633 | 2 |
| #20299630 | 2 |
| #20299618 | 2 |
| #20299616 | 2 |
| #20299601 | 2 |
| #20299599 | 2 |
| C4×#14268646 | 2 |
| #2989 | 113 |