Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
400 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 141 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. #20268148 | C2 | semidirect |
| 3. #20268143 | C2 | semidirect |
| 4. #20268139 | C2 | semidirect |
| 5. #20267785 | C2 | semidirect |
| 6. C2×C4×C103⋊C8 | C2 | semidirect |
| 7. #533×C103 | C2 | semidirect |
| 79. C103 | #3131 | semidirect |
| 80. #533 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268341 | 2 |
| #20268148 | 2 |
| #20268143 | 2 |
| #20268139 | 2 |
| #20267785 | 2 |
| C2×C4×C103⋊C8 | 2 |
| #533×C103 | 2 |
| #3131 | 103 |