Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
368 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#15693043 | C2 | semidirect |
| 2. #20268221 | C2 | direct (N × H) |
| 3. C2×#15692967 | C2 | semidirect |
| 4. C2×#15692965 | C2 | semidirect |
| 5. C2×#15692964 | C2 | semidirect |
| 6. C2×#15692962 | C2 | semidirect |
| 7. C22×C103⋊C16 | C2 | semidirect |
| 8. C2×#135×C103 | C2 | semidirect |
| 11. #15693043 | C22 | semidirect |
| 15. #15692967 | C22 | semidirect |
| 16. #15692965 | C22 | semidirect |
| 17. #15692964 | C22 | semidirect |
| 18. #15692962 | C22 | semidirect |
| 21. C2×C103⋊C16 | C22 | semidirect |
| 24. #135×C103 | C22 | semidirect |
| 96. C2×C103 | #508 | semidirect |
| 100. C103 | C2×#508 | semidirect |
| 102. C2×#135 | D103 | semidirect |
| 114. #135 | C2×D103 | semidirect |
| 197. C2 | #20268221 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693043 | 2 |
| #20268221 | 2 |
| C2×#15692967 | 2 |
| C2×#15692965 | 2 |
| C2×#15692964 | 2 |
| C2×#15692962 | 2 |
| C22×C103⋊C16 | 2 |
| C2×#135×C103 | 2 |
| C2×#508 | 103 |