Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
532 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 137 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. C2×#15693053 | C2 | semidirect |
| 3. C2×Q16×D103 | C2 | semidirect |
| 4. #20268366 | C2 | semidirect |
| 5. #20268184 | C2 | semidirect |
| 6. #20268183 | C2 | semidirect |
| 7. #20268176 | C2 | semidirect |
| 8. #20268175 | C2 | semidirect |
| 9. #20268169 | C2 | semidirect |
| 10. #20267745 | C2 | semidirect |
| 11. #494×C103 | C2 | semidirect |
| 122. C103 | #3156 | semidirect |
| 132. #494 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693053 | 2 |
| C2×#15693044 | 2 |
| C2×Q16×D103 | 2 |
| #20268366 | 2 |
| #20268184 | 2 |
| #20268183 | 2 |
| #20268176 | 2 |
| #20268175 | 2 |
| #20268169 | 2 |
| #20267745 | 2 |
| #494×C103 | 2 |
| #3156 | 103 |