Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
296 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 69 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. #20267818 | C2 | semidirect |
| 3. #20267795 | C2 | semidirect |
| 4. C2×#15692938 | C2 | semidirect |
| 5. C2×#15692937 | C2 | semidirect |
| 6. #20267555 | C2 | semidirect |
| 7. #418×C103 | C2 | semidirect |
| 106. C103 | #2045 | semidirect |
| 110. #418 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13110090 | 2 |
| #20267818 | 2 |
| #20267795 | 2 |
| C2×#15692938 | 2 |
| C2×#15692937 | 2 |
| #20267555 | 2 |
| #418×C103 | 2 |
| #2045 | 103 |