Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
612 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 205 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×C4×Dic206 | C2 | semidirect |
| 4. #20267697 | C2 | semidirect |
| 6. #20267683 | C2 | semidirect |
| 7. #20267665 | C2 | semidirect |
| 8. #20267661 | C2 | semidirect |
| 9. #376×C103 | C2 | semidirect |
| 13. #15693009 | C4 | semidirect |
| 33. C2×Dic206 | C2×C4 | semidirect |
| 48. (C2×D103)⋊C4 | C2×C4 | semidirect |
| 56. C42×C103 | C2×C4 | semidirect |
| 112. C103 | #2326 | semidirect |
| 121. #376 | D103 | semidirect |
| 168. C42 | C4×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693009 | 2 |
| C2×C4×Dic206 | 2 |
| C2×C4×D412 | 2 |
| #20267697 | 2 |
| #20267693 | 2 |
| #20267683 | 2 |
| #20267665 | 2 |
| #20267661 | 2 |
| #376×C103 | 2 |
| #2326 | 103 |