Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
314 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 59 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. #20268165 | C2 | semidirect |
| 3. #20268078 | C2 | semidirect |
| 4. #20267534 | C2 | semidirect |
| 5. D4⋊(C103⋊C8) | C2 | semidirect |
| 6. #20267518 | C2 | semidirect |
| 7. #476×C103 | C2 | semidirect |
| 17. C4⋊(C103⋊C8) | C22 | semidirect |
| 19. C4×C103⋊C8 | C22 | semidirect |
| 20. C4⋊Q8×C103 | C22 | semidirect |
| 23. C4⋊C8×C103 | C22 | semidirect |
| 60. D4×C103 | SD16 | semidirect |
| 77. D412 | SD16 | semidirect |
| 109. C103 | #1629 | semidirect |
| 113. #476 | D103 | semidirect |
| 120. C4⋊Q8 | C2×D103 | semidirect |
| 130. C4⋊C8 | C2×D103 | semidirect |
| 178. D4 | #13110092 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×D412 | 2 |
| #20268165 | 2 |
| #20268078 | 2 |
| #20267534 | 2 |
| D4⋊(C103⋊C8) | 2 |
| #20267518 | 2 |
| #476×C103 | 2 |
| #1629 | 103 |