Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
424 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 121 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. C4⋊Q8×D103 | C2 | semidirect |
| 3. #20268153 | C2 | semidirect |
| 4. #20268151 | C2 | semidirect |
| 5. #20268150 | C2 | semidirect |
| 6. #20268140 | C2 | semidirect |
| 7. #20268136 | C2 | semidirect |
| 8. #20267791 | C2 | semidirect |
| 9. #20267789 | C2 | semidirect |
| 10. #20267743 | C2 | semidirect |
| 11. #489×C103 | C2 | semidirect |
| 141. C103 | #3141 | semidirect |
| 147. #489 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268340 | 2 |
| C4⋊Q8×D103 | 2 |
| #20268153 | 2 |
| #20268151 | 2 |
| #20268150 | 2 |
| #20268140 | 2 |
| #20268136 | 2 |
| #20267791 | 2 |
| #20267789 | 2 |
| #20267743 | 2 |
| #489×C103 | 2 |
| #3141 | 103 |