Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
880 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 880 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 |
| 3. C2×C4⋊C4×D103 | C2 | semidirect |
| 4. #20267697 | C2 | semidirect |
| 5. #20267696 | C2 | semidirect |
| 6. #20267694 | C2 | semidirect |
| 7. #20267667 | C2 | semidirect |
| 8. #20267649 | C2 | semidirect |
| 9. #390×C103 | C2 | semidirect |
| 12. C2×#13110104 | C4 | semidirect |
| 36. C2×Dic206 | C2×C4 | semidirect |
| 42. C22×Dic103 | C2×C4 | semidirect |
| 61. C2×D4×C103 | C2×C4 | semidirect |
| 102. C4×D103 | C22⋊C4 | semidirect |
| 134. C103 | #2311 | semidirect |
| 141. #390 | D103 | semidirect |
| 177. C2×D4 | C4×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13110104 | 2 |
| C2×#15692978 | 2 |
| C2×C4⋊C4×D103 | 2 |
| #20267697 | 2 |
| #20267696 | 2 |
| #20267694 | 2 |
| #20267667 | 2 |
| #20267649 | 2 |
| #390×C103 | 2 |
| #2311 | 103 |