Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
476 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 253 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 |
|---|---|---|
| 3. #20267834 | C2 | semidirect |
| 4. #20267831 | C2 | semidirect |
| 5. #20267827 | C2 | semidirect |
| 6. C2×#15692954 | C2 | semidirect |
| 8. #15693028 | C4 | semidirect |
| 26. #13110089 | C2×C4 | semidirect |
| 27. C2×C103⋊C8 | C2×C4 | semidirect |
| 77. C103 | #2913 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693028 | 2 |
| #20268274 | 2 |
| #20267834 | 2 |
| #20267831 | 2 |
| #20267827 | 2 |
| C2×#15692954 | 2 |
| #520×C103 | 2 |
| #2913 | 103 |