Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
358 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 125 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. #20268171 | C2 | semidirect |
| 3. #20268143 | C2 | semidirect |
| 5. #20267897 | C2 | semidirect |
| 7. #498×C103 | C2 | semidirect |
| 69. C103 | #3185 | semidirect |
| 71. #498 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268346 | 2 |
| #20268171 | 2 |
| #20268143 | 2 |
| #20268050 | 2 |
| #20267897 | 2 |
| C4×#13110088 | 2 |
| #498×C103 | 2 |
| #3185 | 103 |