Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
322 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 1. #20267755 | C2 | semidirect |
| 2. C2×C22⋊(C103⋊C8) | C2 | semidirect |
| 3. #20267515 | C2 | semidirect |
| 100. C103 | #1471 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20267755 | 2 |
| C2×C22⋊(C103⋊C8) | 2 |
| #20267515 | 2 |
| C2×#121×C103 | 2 |
| #1471 | 103 |