Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
492 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 189 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. C4×#13110105 | C2 | semidirect |
| 3. #20267904 | C2 | semidirect |
| 4. #20267899 | C2 | semidirect |
| 5. #20267893 | C2 | semidirect |
| 6. #20267829 | C2 | semidirect |
| 7. #20267788 | C2 | semidirect |
| 8. C2×#97×C103 | C2 | semidirect |
| 10. #15693043 | C4 | semidirect |
| 30. #13110105 | C2×C4 | semidirect |
| 36. Dic412 | C2×C4 | semidirect |
| 37. #13110094 | C2×C4 | semidirect |
| 38. D824 | C2×C4 | semidirect |
| 48. C2×C8×C103 | C2×C4 | semidirect |
| 90. C103 | #2943 | semidirect |
| 98. C2×#97 | D103 | semidirect |
| 132. C2×C8 | C4×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693043 | 2 |
| C4×#13110105 | 2 |
| #20267904 | 2 |
| #20267899 | 2 |
| #20267893 | 2 |
| #20267829 | 2 |
| #20267788 | 2 |
| C2×#97×C103 | 2 |
| #2943 | 103 |