Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
228 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 93 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. C22×C103⋊C16 | C2 | semidirect |
| 2. #20267829 | C2 | semidirect |
| 3. #20267595 | C2 | semidirect |
| 4. #20267592 | C2 | semidirect |
| 13. #135×C103 | C4 | semidirect |
| 70. C103 | #2138 | semidirect |
| 78. #135 | Dic103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C103⋊C16 | 2 |
| #20267829 | 2 |
| #20267595 | 2 |
| #20267592 | 2 |
| C2×#135×C103 | 2 |
| #2138 | 103 |