Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
488 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 149 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. #20268157 | C2 | direct (N × H) |
| 3. C2×#15692941 | C2 | semidirect |
| 4. C2×#15692932 | C2 | semidirect |
| 5. C2×#125×C103 | C2 | semidirect |
| 11. #15692941 | C22 | semidirect |
| 12. #15692932 | C22 | semidirect |
| 14. #125×C103 | C22 | semidirect |
| 59. C2×C103 | #490 | semidirect |
| 64. C103 | C2×#490 | semidirect |
| 66. C2×#125 | D103 | semidirect |
| 76. #125 | C2×D103 | semidirect |
| 124. C2 | #20268157 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693018 | 2 |
| #20268157 | 2 |
| C2×#15692941 | 2 |
| C2×#15692932 | 2 |
| C2×#125×C103 | 2 |
| C2×#490 | 103 |