Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
652 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 652 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 |
|---|---|---|
| 2. C2×#15692978 | C2 | semidirect |
| 4. #20267689 | C2 | semidirect |
| 5. #20267682 | C2 | semidirect |
| 6. C4×C4⋊Dic103 | C2 | semidirect |
| 7. C4×(C2×D103)⋊C4 | C2 | semidirect |
| 8. C43×C103 | C2 | semidirect |
| 11. C4×D412 | C4 | semidirect |
| 51. C42×C103 | D4 | semidirect |
| 92. C4×C103 | #117 | semidirect |
| 103. C103 | #2293 | semidirect |
| 111. C43 | D103 | semidirect |
| 154. C42 | D412 | semidirect |
| 197. C4 | #15692978 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D412 | 2 |
| C2×#15692978 | 2 |
| #20267693 | 2 |
| #20267689 | 2 |
| #20267682 | 2 |
| C4×C4⋊Dic103 | 2 |
| C4×(C2×D103)⋊C4 | 2 |
| C43×C103 | 2 |
| #2293 | 103 |