Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
412 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 3. C22⋊C4×Dic103 | C2 | semidirect |
| 4. #20267558 | C2 | semidirect |
| 5. #342×C103 | C2 | semidirect |
| 8. C22×C4×D103 | C4 | semidirect |
| 11. C2×Dic103⋊C4 | C4 | semidirect |
| 13. C2×(C2×D103)⋊C4 | C4 | semidirect |
| 15. C2×C4×Dic103 | C4 | semidirect |
| 16. #15692935 | C4 | semidirect |
| 37. C22⋊Dic103 | C2×C4 | semidirect |
| 48. C22⋊C4×C103 | C2×C4 | semidirect |
| 60. C22×D103 | C42 | semidirect |
| 79. C2×Dic103 | C42 | semidirect |
| 109. Dic103 | #99 | semidirect |
| 119. C103 | C4×#99 | semidirect |
| 124. #342 | D103 | semidirect |
| 164. C22⋊C4 | C4×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×(C22⋊D103)⋊C4 | 2 |
| C2×#15692935 | 2 |
| C22⋊C4×Dic103 | 2 |
| #20267558 | 2 |
| #342×C103 | 2 |
| C4×#99 | 103 |