Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | #131×#261 |
| Fitting | C13×#131 ⋊ C4 |
| Sylow | C13 ⋊ C4×#131 |
572 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | #261×#350, #16789318, #261×#443, … |
| maximal normal subgroup of | #261×#350, #16789318, #261×#443, … |
| maximal quotient of | #131×#1057, #16792590, C8×#88238, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 21077);