Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
356 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 113 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. #20268513 | C2 | semidirect |
| 2. #20268184 | C2 | semidirect |
| 4. #20268013 | C2 | semidirect |
| 6. #20268000 | C2 | semidirect |
| 7. #20267921 | C2 | semidirect |
| 8. #20267890 | C2 | semidirect |
| 9. C4×Q16×C103 | C2 | semidirect |
| 103. C103 | #3402 | semidirect |
| 112. C4×Q16 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268513 | 2 |
| #20268184 | 2 |
| #20268175 | 2 |
| #20268013 | 2 |
| #20268009 | 2 |
| #20268000 | 2 |
| #20267921 | 2 |
| #20267890 | 2 |
| C4×Q16×C103 | 2 |
| #3402 | 103 |