Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 125 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. #20268422 | C2 | semidirect |
| 3. #20268158 | C2 | semidirect |
| 4. #20268152 | C2 | semidirect |
| 5. #20268147 | C2 | semidirect |
| 6. #20268140 | C2 | semidirect |
| 7. #20267800 | C2 | semidirect |
| 10. #20267746 | C2 | semidirect |
| 11. C2×#103×C103 | C2 | semidirect |
| 128. C103 | #3137 | semidirect |
| 138. C2×#103 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268422 | 2 |
| #20268365 | 2 |
| #20268158 | 2 |
| #20268152 | 2 |
| #20268147 | 2 |
| #20268140 | 2 |
| #20267800 | 2 |
| #20267790 | 2 |
| #20267788 | 2 |
| #20267746 | 2 |
| C2×#103×C103 | 2 |
| #3137 | 103 |