Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
212 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 16. #16813541 | C4 | semidirect |
| 94. C113 | #1930 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20298641 | 2 |
| C2×#16813546 | 2 |
| C2×#16813541 | 2 |
| #20298554 | 2 |
| #20298366 | 2 |
| #20298362 | 2 |
| #419×C113 | 2 |
| #1930 | 113 |