Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
728 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 728 conjugacy classes of subgroups — too many to draw. Only its 165 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×#15693046 | C2 | semidirect |
| 2. C2×#15693010 | C2 | semidirect |
| 3. #20267964 | C2 | direct (N × H) |
| 4. C2×#15692948 | C2 | semidirect |
| 5. C2×#15692940 | C2 | semidirect |
| 6. C2×2−1+4×C103 | C2 | semidirect |
| 9. #15693046 | C22 | semidirect |
| 14. #15693010 | C22 | semidirect |
| 17. #15692948 | C22 | semidirect |
| 18. #15692940 | C22 | semidirect |
| 21. 2−1+4×C103 | C22 | semidirect |
| 114. C2×C103 | #454 | semidirect |
| 118. C103 | C2×#454 | semidirect |
| 119. C2×2−1+4 | D103 | semidirect |
| 127. 2−1+4 | C2×D103 | semidirect |
| 233. C2 | #20267964 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693046 | 2 |
| C2×#15693010 | 2 |
| #20267964 | 2 |
| C2×#15692948 | 2 |
| C2×#15692940 | 2 |
| C2×2−1+4×C103 | 2 |
| C2×#454 | 103 |