Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
1224 conjugacy classes of subgroups; only the 249 normal subgroups are shown.
This group has 1224 conjugacy classes of subgroups — too many to draw. Only its 249 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. C24×Dic103 | C2 | semidirect |
| 3. C2×(C22⋊D103)⋊C4 | C2 | semidirect |
| 4. #20267668 | C2 | semidirect |
| 5. #20267663 | C2 | semidirect |
| 6. C22⋊C4×Dic103 | C2 | semidirect |
| 7. #379×C103 | C2 | semidirect |
| 12. C22×C4×D103 | C22 | semidirect |
| 13. #15692990 | C4 | semidirect |
| 15. C2×Dic103⋊C4 | C22 | semidirect |
| 17. C2×(C2×D103)⋊C4 | C22 | semidirect |
| 18. C2×C4×Dic103 | C22 | semidirect |
| 19. C103⋊#95 | C22 | semidirect |
| 26. C2×C22⋊D103 | C2×C4 | semidirect |
| 31. C22×Dic103 | D4 | semidirect |
| 37. C22⋊Dic103 | C2×C4 | semidirect |
| 42. C24×C103 | C2×C4 | semidirect |
| 59. C22×D103 | C22×C4 | semidirect |
| 69. C2×Dic103 | C22×C4 | semidirect |
| 78. C22×C103 | C4×D4 | semidirect |
| 89. Dic103 | #120 | semidirect |
| 96. C103 | C4×#120 | semidirect |
| 102. #379 | D103 | semidirect |
| 122. C24 | C4×D103 | semidirect |
| 177. C22 | (C22⋊D103)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C24×Dic103 | 2 |
| C2×#15692990 | 2 |
| C2×(C22⋊D103)⋊C4 | 2 |
| #20267668 | 2 |
| #20267663 | 2 |
| C22⋊C4×Dic103 | 2 |
| #379×C103 | 2 |
| C4×#120 | 103 |