Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
240 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 72 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. #20299457 | C2 | semidirect |
| 78. C113 | #1549 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299615 | 2 |
| #20299601 | 2 |
| #20299457 | 2 |
| C2×#16813621 | 2 |
| #1549 | 113 |