Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×Dic263 |
| Sylow | C263 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16832 |
1862 conjugacy classes. The character table is too large to display.
| maximal quotient of | Q16×C263⋊C8, #46781598, #46781644, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 644);