Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
158 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 4. #20267544 | C2 | semidirect |
| 5. #20267543 | C2 | semidirect |
| 6. #20267541 | C2 | semidirect |
| 7. #334×C103 | C2 | semidirect |
| 76. C103 | #1574 | semidirect |
| 83. #334 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20267843 | 2 |
| #20267842 | 2 |
| #20267813 | 2 |
| #20267544 | 2 |
| #20267543 | 2 |
| #20267541 | 2 |
| #334×C103 | 2 |
| #1574 | 103 |