Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
388 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 131 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. #20268346 | C2 | semidirect |
| 3. #20268101 | C2 | semidirect |
| 4. #20268093 | C2 | semidirect |
| 5. #20268083 | C2 | semidirect |
| 6. #20268077 | C2 | semidirect |
| 7. #20268071 | C2 | semidirect |
| 8. #20267826 | C2 | semidirect |
| 9. C4⋊C8×D103 | C2 | semidirect |
| 11. #476×C103 | C2 | semidirect |
| 44. #13110104 | Q8 | semidirect |
| 135. C103 | #3076 | semidirect |
| 141. #476 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268346 | 2 |
| C4×#13110104 | 2 |
| #20268101 | 2 |
| #20268093 | 2 |
| #20268083 | 2 |
| #20268077 | 2 |
| #20268071 | 2 |
| #20267826 | 2 |
| C4⋊C8×D103 | 2 |
| #20267784 | 2 |
| #476×C103 | 2 |
| #3076 | 103 |