Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
564 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 137 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×#15693042 | C2 | semidirect |
| 2. C2×#15693040 | C2 | semidirect |
| 3. #20268340 | C2 | semidirect |
| 4. #20268339 | C2 | semidirect |
| 5. #20268186 | C2 | semidirect |
| 6. #20268185 | C2 | semidirect |
| 7. #20268182 | C2 | semidirect |
| 8. #20268179 | C2 | semidirect |
| 9. #20268178 | C2 | semidirect |
| 10. #97×D103 | C2 | semidirect |
| 11. #496×C103 | C2 | semidirect |
| 64. C8×D103 | D4 | semidirect |
| 134. C103 | #3150 | semidirect |
| 144. #496 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693042 | 2 |
| C2×#15693040 | 2 |
| #20268340 | 2 |
| #20268339 | 2 |
| #20268186 | 2 |
| #20268185 | 2 |
| #20268182 | 2 |
| #20268179 | 2 |
| #20268178 | 2 |
| #97×D103 | 2 |
| #496×C103 | 2 |
| #3150 | 103 |