Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
1540 conjugacy classes of subgroups; only the 805 normal subgroups are shown.
This group has 1540 conjugacy classes of subgroups — too many to draw. Only its 805 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. #20268273 | C2 | semidirect |
| 3. #20268269 | C2 | semidirect |
| 4. #20268265 | C2 | semidirect |
| 5. C4×#13110106 | C2 | semidirect |
| 6. #117×D103 | C2 | semidirect |
| 7. #519×C103 | C2 | semidirect |
| 8. C2×#13110106 | C4 | semidirect |
| 13. Q8×Dic103 | C22 | semidirect |
| 14. C4×D412 | C22 | semidirect |
| 15. #15692983 | C22 | semidirect |
| 17. #15692979 | C22 | semidirect |
| 18. #15692978 | C22 | semidirect |
| 20. C4⋊C4×D103 | C22 | semidirect |
| 22. C42×D103 | C22 | semidirect |
| 24. C4×Q8×C103 | C22 | semidirect |
| 27. #13110106 | C2×C4 | semidirect |
| 28. #13110106 | C2×C4 | semidirect |
| 29. C2×D412 | C2×C4 | semidirect |
| 32. C2×C4×D103 | C2×C4 | semidirect |
| 42. C2×Q8×C103 | C2×C4 | semidirect |
| 80. C103 | #3428 | semidirect |
| 84. #519 | D103 | semidirect |
| 95. C4×Q8 | C2×D103 | semidirect |
| 109. C2×Q8 | C4×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13110106 | 2 |
| #20268273 | 2 |
| #20268269 | 2 |
| #20268265 | 2 |
| C4×#13110106 | 2 |
| #117×D103 | 2 |
| #519×C103 | 2 |
| #3428 | 103 |