Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
162 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 63 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. #20267918 | C2 | semidirect |
| 4. #20267521 | C2 | semidirect |
| 6. #20267512 | C2 | semidirect |
| 7. #335×C103 | C2 | semidirect |
| 57. C8×C103 | M16 | semidirect |
| 78. C103 | #1592 | semidirect |
| 82. #335 | D103 | semidirect |
| 138. C8 | #13110088 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20267918 | 2 |
| C4×#13110094 | 2 |
| #20267868 | 2 |
| #20267521 | 2 |
| #20267518 | 2 |
| #20267512 | 2 |
| #335×C103 | 2 |
| #1592 | 103 |