Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
386 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20268143 | C2 | semidirect |
| 3. #20268132 | C2 | semidirect |
| 4. #20268068 | C2 | semidirect |
| 5. #20268030 | C2 | semidirect |
| 6. #20268001 | C2 | semidirect |
| 7. #20267951 | C2 | semidirect |
| 8. C4×#13110092 | C2 | semidirect |
| 9. D4×C103⋊C8 | C2 | semidirect |
| 10. #20267785 | C2 | semidirect |
| 11. #556×C103 | C2 | semidirect |
| 126. C103 | #3302 | semidirect |
| 127. #556 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268446 | 2 |
| #20268143 | 2 |
| #20268132 | 2 |
| #20268068 | 2 |
| #20268030 | 2 |
| #20268001 | 2 |
| #20267951 | 2 |
| C4×#13110092 | 2 |
| D4×C103⋊C8 | 2 |
| #20267785 | 2 |
| #556×C103 | 2 |
| #3302 | 103 |