Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
172 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 53 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. #20268194 | C2 | semidirect |
| 5. #20267543 | C2 | semidirect |
| 6. #20267536 | C2 | semidirect |
| 7. #332×C103 | C2 | semidirect |
| 61. C103⋊C8 | SD16 | semidirect |
| 79. C103 | #1673 | semidirect |
| 86. #332 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268194 | 2 |
| #20267997 | 2 |
| #20267993 | 2 |
| #20267856 | 2 |
| #20267543 | 2 |
| #20267536 | 2 |
| #332×C103 | 2 |
| #1673 | 103 |