Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
572 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 145 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×#15693042 | C2 | semidirect |
| 2. #20268342 | C2 | semidirect |
| 3. #20268339 | C2 | semidirect |
| 4. #20268172 | C2 | semidirect |
| 5. #20268170 | C2 | semidirect |
| 6. #20268167 | C2 | semidirect |
| 7. #20268164 | C2 | semidirect |
| 8. C4×C8×D103 | C2 | semidirect |
| 9. #492×C103 | C2 | semidirect |
| 47. C8×D103 | D4 | semidirect |
| 91. C4×C103 | #135 | semidirect |
| 102. C103 | #3147 | semidirect |
| 110. #492 | D103 | semidirect |
| 196. C4 | #15693042 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693042 | 2 |
| #20268342 | 2 |
| #20268339 | 2 |
| #20268172 | 2 |
| #20268170 | 2 |
| #20268167 | 2 |
| #20268164 | 2 |
| C4×C8×D103 | 2 |
| #492×C103 | 2 |
| #3147 | 103 |