Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#11719631 |
| unambiguous semidirect product | D13⋊#520 |
| Fitting | C2×C13×#41 ⋊ C4 |
| Sylow | C13 ⋊ C2×#520 |
1640 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
128 conjugacy classes — view the full character table.
| maximal subgroup of | #16785428, #16785431, #16785454, … |
| maximal normal subgroup of | #16785428, #16785431, #16785454, … |
| maximal quotient of | C2×#13131273, C2×#13131275, C2×#13131276, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 21489);