Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
300 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 83 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. C2×#15692956 | C2 | semidirect |
| 3. C2×#15692949 | C2 | semidirect |
| 4. #20267759 | C2 | semidirect |
| 5. #20267758 | C2 | semidirect |
| 6. C2×C4×C103⋊C8 | C2 | semidirect |
| 7. C2×#104×C103 | C2 | semidirect |
| 11. C2×#13110095 | C4 | semidirect |
| 12. C2×#13110093 | C4 | semidirect |
| 13. C2×#13110092 | C4 | semidirect |
| 14. C2×#13110090 | C4 | semidirect |
| 120. C103 | #1974 | semidirect |
| 124. C2×#104 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693041 | 2 |
| C2×#15692956 | 2 |
| C2×#15692949 | 2 |
| #20267759 | 2 |
| #20267758 | 2 |
| C2×C4×C103⋊C8 | 2 |
| C2×#104×C103 | 2 |
| #1974 | 103 |