Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
370 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 92. C2×Dic113 | Q16 | semidirect |
| 119. C113 | #2016 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14268637 | 2 |
| C2×#16813620 | 2 |
| C2×#16813547 | 2 |
| C2×#16813546 | 2 |
| #20298505 | 2 |
| #20298352 | 2 |
| C22×Q16×C113 | 2 |
| #2016 | 113 |