Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
520 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 173 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. #20267698 | C2 | semidirect |
| 3. #20267682 | C2 | semidirect |
| 4. #20267680 | C2 | semidirect |
| 6. #20267665 | C2 | semidirect |
| 7. #20267662 | C2 | semidirect |
| 8. #20267655 | C2 | semidirect |
| 9. #391×C103 | C2 | semidirect |
| 12. #15693010 | C4 | semidirect |
| 48. (C2×D103)⋊C4 | C2×C4 | semidirect |
| 49. (C2×D103)⋊C4 | C2×C4 | semidirect |
| 51. C4×Dic103 | C2×C4 | semidirect |
| 54. C2×Q8×C103 | C2×C4 | semidirect |
| 124. C103 | #2379 | semidirect |
| 127. #391 | D103 | semidirect |
| 159. C2×Q8 | C4×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693010 | 2 |
| #20267698 | 2 |
| #20267682 | 2 |
| #20267680 | 2 |
| #20267669 | 2 |
| #20267665 | 2 |
| #20267662 | 2 |
| #20267655 | 2 |
| #391×C103 | 2 |
| #2379 | 103 |