Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
600 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 600 conjugacy classes of subgroups — too many to draw. Only its 229 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 |
|---|---|---|
| 4. #20267686 | C2 | semidirect |
| 6. #20267660 | C2 | semidirect |
| 7. #20267657 | C2 | semidirect |
| 8. #20267656 | C2 | semidirect |
| 9. #384×C103 | C2 | semidirect |
| 13. #15692978 | C4 | semidirect |
| 44. Dic103⋊C4 | C2×C4 | semidirect |
| 48. C4×Dic103 | C2×C4 | semidirect |
| 56. C42×C103 | C2×C4 | semidirect |
| 84. C4×D103 | C4⋊C4 | semidirect |
| 110. C103 | #2317 | semidirect |
| 117. #384 | D103 | semidirect |
| 166. C42 | C4×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692979 | 2 |
| C2×#15692978 | 2 |
| C2×C4⋊C4×D103 | 2 |
| #20267686 | 2 |
| #20267662 | 2 |
| #20267660 | 2 |
| #20267657 | 2 |
| #20267656 | 2 |
| #384×C103 | 2 |
| #2317 | 103 |