Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
872 conjugacy classes of subgroups; only the 233 normal subgroups are shown.
This group has 872 conjugacy classes of subgroups — too many to draw. Only its 233 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 |
|---|---|---|
| 2. C2×#15692986 | C2 | semidirect |
| 3. #20267692 | C2 | semidirect |
| 4. #20267691 | C2 | semidirect |
| 5. #20267650 | C2 | semidirect |
| 6. C4×C22⋊Dic103 | C2 | semidirect |
| 7. #20267638 | C2 | semidirect |
| 8. #380×C103 | C2 | semidirect |
| 10. C2×#13110105 | C4 | semidirect |
| 82. C2×Dic103 | #41 | semidirect |
| 85. Dic206 | C22⋊C4 | semidirect |
| 115. C103 | #2341 | semidirect |
| 121. #380 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13110105 | 2 |
| C2×#15692986 | 2 |
| #20267692 | 2 |
| #20267691 | 2 |
| #20267650 | 2 |
| C4×C22⋊Dic103 | 2 |
| #20267638 | 2 |
| #380×C103 | 2 |
| #2341 | 103 |