Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | D13×#479 |
| Fitting | C13×#479 ⋊ C2 |
| Sylow | C13 ⋊ C2×#479 |
384 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
152 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D13×#479, D13×#3076, D13×#3078, … |
| maximal normal subgroup of | C2×D13×#479, D13×#3076, D13×#3078, … |
| maximal quotient of | D13×#1805, D13×#1863, D13×#1865, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 14283);