Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
648 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 648 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. #20267671 | C2 | semidirect |
| 3. #20267670 | C2 | semidirect |
| 4. #20267669 | C2 | semidirect |
| 5. #20267668 | C2 | semidirect |
| 6. #20267667 | C2 | semidirect |
| 7. #20267667 | C2 | semidirect |
| 8. #20267658 | C2 | semidirect |
| 9. #386×C103 | C2 | semidirect |
| 15. #15693017 | C4 | semidirect |
| 35. C2×D412 | C2×C4 | semidirect |
| 40. C2×C22⋊D103 | C2×C4 | semidirect |
| 41. C2×C22⋊D103 | C2×C4 | semidirect |
| 55. C4×Dic103 | C2×C4 | semidirect |
| 60. C2×D4×C103 | C2×C4 | semidirect |
| 148. C103 | #2380 | semidirect |
| 156. #386 | D103 | semidirect |
| 194. C2×D4 | C4×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693017 | 2 |
| #20267671 | 2 |
| #20267670 | 2 |
| #20267669 | 2 |
| #20267668 | 2 |
| #20267667 | 2 |
| #20267658 | 2 |
| #386×C103 | 2 |
| #2380 | 103 |