Finite Group DatabasebetaFinite Group DatabasebetaOrder 26816.
850 conjugacy classes of subgroups.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C22×Dic838 | C2 | direct (N × H) |
| 4. C2×Dic838 | C22 | direct (N × H) |
| 8. Dic838 | C23 | direct (N × H) |
| 10. C23×C419 | Q8 | semidirect |
| 13. C22×C419 | C2×Q8 | semidirect |
| 17. C2×C419 | C22×Q8 | semidirect |
| 19. C419 | C23×Q8 | semidirect |
| 28. C23 | Dic838 | direct (N × H) |
| 33. C22 | C2×Dic838 | direct (N × H) |
| 37. C2 | C22×Dic838 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic838 | 2 |
| C23×Dic419 | 2 |
| C23×C4×C419 | 2 |
| C23×Q8 | 419 |