Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
216 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 71 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. #20267840 | C2 | semidirect |
| 5. C4×#13110089 | C2 | semidirect |
| 6. #20267561 | C2 | semidirect |
| 7. #339×C103 | C2 | semidirect |
| 16. #15692939 | C4 | semidirect |
| 17. #15692937 | C4 | semidirect |
| 96. C103 | #1932 | semidirect |
| 103. #339 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20267840 | 2 |
| #20267809 | 2 |
| C2×#15692949 | 2 |
| #20267773 | 2 |
| C4×#13110089 | 2 |
| #20267561 | 2 |
| #339×C103 | 2 |
| #1932 | 103 |