Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
180 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 73 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. #20299688 | C2 | semidirect |
| 3. #20299687 | C2 | semidirect |
| 27. C2×#11744751 | C8 | semidirect |
| 28. C8×D113 | C8 | semidirect |
| 29. C8×D113 | C8 | semidirect |
| 32. C2×C8×C113 | C8 | semidirect |
| 72. C113 | #1564 | semidirect |
| 100. C2×C8 | #11744762 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299711 | 2 |
| #20299688 | 2 |
| #20299687 | 2 |
| C2×C8×#90673 | 2 |
| #1564 | 113 |