Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
256 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 96. C103 | #2047 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13110095 | 2 |
| #20267818 | 2 |
| #20267799 | 2 |
| C2×#15692940 | 2 |
| C2×#15692939 | 2 |
| #20267555 | 2 |
| #419×C103 | 2 |
| #2047 | 103 |