Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
446 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 446 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 |
|---|---|---|
| 1. #20268341 | C2 | semidirect |
| 2. #20268189 | C2 | semidirect |
| 3. #20268168 | C2 | semidirect |
| 4. #20268138 | C2 | semidirect |
| 5. #20268044 | C2 | semidirect |
| 6. #20267904 | C2 | semidirect |
| 7. C4×M16×C103 | C2 | semidirect |
| 60. C8×C103 | #41 | semidirect |
| 77. C103 | #3184 | semidirect |
| 84. C4×M16 | D103 | semidirect |
| 137. C8 | #13110105 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268341 | 2 |
| #20268189 | 2 |
| #20268168 | 2 |
| #20268138 | 2 |
| #20268044 | 2 |
| #20267904 | 2 |
| C4×M16×C103 | 2 |
| #3184 | 103 |