Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
250 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 250 conjugacy classes of subgroups — too many to draw. Only its 55 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. #20268139 | C2 | semidirect |
| 3. #20267998 | C2 | semidirect |
| 4. #20267534 | C2 | semidirect |
| 5. #20267521 | C2 | semidirect |
| 6. D4⋊(C103⋊C8) | C2 | semidirect |
| 7. #474×C103 | C2 | semidirect |
| 100. C103 | #1641 | semidirect |
| 103. #474 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268462 | 2 |
| #20268139 | 2 |
| #20267998 | 2 |
| #20267534 | 2 |
| #20267521 | 2 |
| D4⋊(C103⋊C8) | 2 |
| #474×C103 | 2 |
| #1641 | 103 |