Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
350 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 1. #20268605 | C2 | semidirect |
| 2. #20268604 | C2 | semidirect |
| 3. #20268234 | C2 | semidirect |
| 4. #20268233 | C2 | semidirect |
| 5. #20268230 | C2 | semidirect |
| 6. #20268222 | C2 | semidirect |
| 7. #20268221 | C2 | semidirect |
| 8. C2×#15692967 | C2 | semidirect |
| 9. Q32×D103 | C2 | semidirect |
| 10. #20268209 | C2 | semidirect |
| 11. #510×C103 | C2 | semidirect |
| 124. C103 | #3417 | semidirect |
| 130. #510 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268605 | 2 |
| #20268604 | 2 |
| #20268234 | 2 |
| #20268233 | 2 |
| #20268230 | 2 |
| #20268222 | 2 |
| #20268221 | 2 |
| C2×#15692967 | 2 |
| Q32×D103 | 2 |
| #20268209 | 2 |
| #510×C103 | 2 |
| #3417 | 103 |