Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
160 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 57 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. #20268189 | C2 | semidirect |
| 4. #20267544 | C2 | semidirect |
| 5. #20267539 | C2 | semidirect |
| 6. #20267536 | C2 | semidirect |
| 57. C8×C103 | SD16 | semidirect |
| 77. C103 | #1691 | semidirect |
| 136. C8 | #13110093 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268189 | 2 |
| #20268081 | 2 |
| #20267996 | 2 |
| #20267544 | 2 |
| #20267539 | 2 |
| #20267536 | 2 |
| #436×C103 | 2 |
| #1691 | 103 |