Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 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 |
|---|---|---|
| 1. C2×#15693041 | C2 | semidirect |
| 2. #20268341 | C2 | semidirect |
| 3. #20268186 | C2 | semidirect |
| 4. #20268183 | C2 | semidirect |
| 5. #20268181 | C2 | semidirect |
| 6. #20268178 | C2 | semidirect |
| 7. C2×#15692932 | C2 | semidirect |
| 8. #532×C103 | C2 | semidirect |
| 40. C2×C103⋊C8 | D4 | semidirect |
| 98. C103 | #3150 | semidirect |
| 101. #532 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693041 | 2 |
| #20268341 | 2 |
| #20268186 | 2 |
| #20268183 | 2 |
| #20268181 | 2 |
| #20268178 | 2 |
| C2×#15692932 | 2 |
| #532×C103 | 2 |
| #3150 | 103 |