Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
576 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 576 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. #20267691 | C2 | semidirect |
| 3. #20267681 | C2 | semidirect |
| 4. #20267676 | C2 | semidirect |
| 5. #20267669 | C2 | semidirect |
| 6. #20267667 | C2 | semidirect |
| 7. #20267662 | C2 | semidirect |
| 8. #20267654 | C2 | semidirect |
| 9. #380×C103 | C2 | semidirect |
| 13. #15692995 | C4 | semidirect |
| 37. C2×C22⋊D103 | C2×C4 | semidirect |
| 44. C4⋊Dic103 | C2×C4 | semidirect |
| 50. (C2×D103)⋊C4 | C2×C4 | semidirect |
| 54. C22×C4×C103 | C2×C4 | semidirect |
| 130. C103 | #2377 | semidirect |
| 139. #380 | D103 | semidirect |
| 176. C22×C4 | C4×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692995 | 2 |
| #20267691 | 2 |
| #20267681 | 2 |
| #20267676 | 2 |
| #20267669 | 2 |
| #20267667 | 2 |
| #20267662 | 2 |
| #20267654 | 2 |
| #380×C103 | 2 |
| #2377 | 103 |