Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
400 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 133 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. #20268153 | C2 | semidirect |
| 3. #20268148 | C2 | semidirect |
| 4. #20267799 | C2 | semidirect |
| 6. C4×#13110089 | C2 | semidirect |
| 7. #533×C103 | C2 | semidirect |
| 15. #15692944 | C22 | semidirect |
| 17. #15692932 | C22 | semidirect |
| 18. C4×C103⋊C8 | C22 | semidirect |
| 19. C4⋊Q8×C103 | C22 | semidirect |
| 20. #125×C103 | C22 | semidirect |
| 84. C103 | #3140 | semidirect |
| 85. #533 | D103 | semidirect |
| 95. C4⋊Q8 | C2×D103 | semidirect |
| 96. #125 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693009 | 2 |
| #20268153 | 2 |
| #20268148 | 2 |
| #20267799 | 2 |
| #20267795 | 2 |
| C4×#13110089 | 2 |
| #533×C103 | 2 |
| #3140 | 103 |