Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
380 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 3. #20268201 | C2 | semidirect |
| 4. #20268200 | C2 | semidirect |
| 5. #20268197 | C2 | semidirect |
| 6. #20268195 | C2 | semidirect |
| 7. #20268188 | C2 | semidirect |
| 11. #501×C103 | C2 | semidirect |
| 52. #13110088 | Q8 | semidirect |
| 102. C8×C103 | C2×Q8 | semidirect |
| 103. C103⋊C8 | C2×Q8 | semidirect |
| 125. C103 | #3165 | semidirect |
| 131. #501 | D103 | semidirect |
| 228. C8 | Q8×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268347 | 2 |
| C4⋊Q8×D103 | 2 |
| #20268201 | 2 |
| #20268200 | 2 |
| #20268197 | 2 |
| #20268195 | 2 |
| #20268188 | 2 |
| #20267832 | 2 |
| #20267830 | 2 |
| #20267743 | 2 |
| #501×C103 | 2 |
| #3165 | 103 |