Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | D13×#518 |
| Fitting | C13×#518 ⋊ C2 |
| Sylow | C13 ⋊ C2×#518 |
1920 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
272 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D13×#1828, D13×#1829, D13×#1856, … |
| maximal normal subgroup of | D13×#1828, D13×#1829, D13×#1856, … |
| maximal quotient of | D13×#2273, D13×#2274, D13×#2275, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 17693);