Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
384 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 3. #20298976 | C2 | semidirect |
| 4. #20298947 | C2 | semidirect |
| 5. #20298807 | C2 | semidirect |
| 6. #20298806 | C2 | semidirect |
| 101. C2×Dic113 | Q16 | semidirect |
| 134. C113 | #3209 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299150 | 2 |
| C2×#16813620 | 2 |
| #20298976 | 2 |
| #20298947 | 2 |
| #20298807 | 2 |
| #20298806 | 2 |
| #20298756 | 2 |
| #20298754 | 2 |
| #20298753 | 2 |
| #20298648 | 2 |
| #451×C113 | 2 |
| #3209 | 113 |