Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
504 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 1. C2×#15693044 | C2 | semidirect |
| 2. #20268460 | C2 | semidirect |
| 3. #20268166 | C2 | semidirect |
| 4. #20268027 | C2 | semidirect |
| 5. #20268024 | C2 | semidirect |
| 6. #20267989 | C2 | semidirect |
| 7. #20267936 | C2 | semidirect |
| 8. #20267935 | C2 | semidirect |
| 9. Q16×Dic103 | C2 | semidirect |
| 10. C8×C22⋊D103 | C2 | semidirect |
| 11. C2×#135×C103 | C2 | semidirect |
| 74. Q16×C103 | D4 | semidirect |
| 134. Dic103 | #135 | semidirect |
| 143. C103 | #3287 | semidirect |
| 145. C2×#135 | D103 | semidirect |
| 202. Q16 | C22⋊D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693044 | 2 |
| #20268460 | 2 |
| #20268166 | 2 |
| #20268027 | 2 |
| #20268024 | 2 |
| #20267989 | 2 |
| #20267936 | 2 |
| #20267935 | 2 |
| Q16×Dic103 | 2 |
| C8×C22⋊D103 | 2 |
| C2×#135×C103 | 2 |
| #3287 | 103 |