Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
348 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 117 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. #20268520 | C2 | semidirect |
| 3. #20268144 | C2 | semidirect |
| 5. #20268093 | C2 | semidirect |
| 6. #20268077 | C2 | semidirect |
| 7. #20268011 | C2 | semidirect |
| 8. #20267915 | C2 | semidirect |
| 9. C4×#13110095 | C2 | semidirect |
| 10. SD16×Dic103 | C2 | semidirect |
| 118. C103 | #3365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268527 | 2 |
| #20268520 | 2 |
| #20268144 | 2 |
| #20268137 | 2 |
| #20268093 | 2 |
| #20268077 | 2 |
| #20268011 | 2 |
| #20267915 | 2 |
| C4×#13110095 | 2 |
| SD16×Dic103 | 2 |
| #460×C103 | 2 |
| #3365 | 103 |