Finite Group Databasebeta

← Group #6432114

Character table — Group #6432114

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222224444888888888888111122222244448888888888881111222222444488888888888811112222224444888888888888
order12222244448888444444888888222222444488884444448888882222224444888844444488888822222244448888444444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1
χ311111111111111-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1
χ411111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-1
χ61111111111-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111
χ71111111111-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-111-1-111-1-111
χ81111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1
χ9222222-2-2-2-200000000002i−2i0000222222-2-2-2-200000000002i−2i0000222222-2-2-2-200000000002i−2i0000222222-2-2-2-200000000002i−2i0000
χ10222222-2-2-2-20000000000−2i2i0000222222-2-2-2-20000000000−2i2i0000222222-2-2-2-20000000000−2i2i0000222222-2-2-2-20000000000−2i2i0000
χ112222-2-22-22-200002-200000000002222-2-22-22-200002-200000000002222-2-22-22-200002-200000000002222-2-22-22-200002-20000000000
χ122222-2-22-22-20000-2200000000002222-2-22-22-20000-2200000000002222-2-22-22-20000-2200000000002222-2-22-22-20000-220000000000
χ132222-2-2-22-2222-2-20000000000002222-2-2-22-2222-2-20000000000002222-2-2-22-2222-2-20000000000002222-2-2-22-2222-2-2000000000000
χ142222-2-2-22-22-2-2220000000000002222-2-2-22-22-2-2220000000000002222-2-2-22-22-2-2220000000000002222-2-2-22-22-2-222000000000000
χ152-22-22-222-2-2000000002-20000002-22-22-222-2-2000000002-20000002-22-22-222-2-2000000002-20000002-22-22-222-2-2000000002-2000000
χ162-22-22-222-2-200000000-220000002-22-22-222-2-200000000-220000002-22-22-222-2-200000000-220000002-22-22-222-2-200000000-22000000
χ172-22-22-2-2-2220000000000002-2002-22-22-2-2-2220000000000002-2002-22-22-2-2-2220000000000002-2002-22-22-2-2-2220000000000002-200
χ182-22-22-2-2-222000000000000-22002-22-22-2-2-222000000000000-22002-22-22-2-2-222000000000000-22002-22-22-2-2-222000000000000-2200
χ192-22-2-222-2-22000000000000002i−2i2-22-2-222-2-22000000000000002i−2i2-22-2-222-2-22000000000000002i−2i2-22-2-222-2-22000000000000002i−2i
χ202-22-2-222-2-2200000000000000−2i2i2-22-2-222-2-2200000000000000−2i2i2-22-2-222-2-2200000000000000−2i2i2-22-2-222-2-2200000000000000−2i2i
χ212-22-2-22-222-20000002i−2i000000002-22-2-22-222-20000002i−2i000000002-22-2-22-222-20000002i−2i000000002-22-2-22-222-20000002i−2i00000000
χ222-22-2-22-222-2000000−2i2i000000002-22-2-22-222-2000000−2i2i000000002-22-2-22-222-2000000−2i2i000000002-22-2-22-222-2000000−2i2i00000000
χ2344-4-40000000022−2200000000000044-4-40000000022−2200000000000044-4-40000000022−2200000000000044-4-40000000022−22000000000000
χ2444-4-400000000−222200000000000044-4-400000000−222200000000000044-4-400000000−222200000000000044-4-400000000−2222000000000000
χ254-4-440000002i2−2i2000000000000004-4-440000002i2−2i2000000000000004-4-440000002i2−2i2000000000000004-4-440000002i2−2i200000000000000
χ264-4-44000000−2i22i2000000000000004-4-44000000−2i22i2000000000000004-4-44000000−2i22i2000000000000004-4-44000000−2i22i200000000000000
χ2711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ281111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ2911111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ3011111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ311111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ321111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ331111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1
χ341111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ35222222-2-2-2-200000000002i−2i0000-2-2-2-2-2-222220000000000−2i2i0000222222-2-2-2-200000000002i−2i0000-2-2-2-2-2-222220000000000−2i2i0000
χ36222222-2-2-2-20000000000−2i2i0000-2-2-2-2-2-2222200000000002i−2i0000222222-2-2-2-20000000000−2i2i0000-2-2-2-2-2-2222200000000002i−2i0000
χ372222-2-22-22-200002-20000000000-2-2-2-222-22-220000-2200000000002222-2-22-22-200002-20000000000-2-2-2-222-22-220000-220000000000
χ382222-2-22-22-20000-220000000000-2-2-2-222-22-2200002-200000000002222-2-22-22-20000-220000000000-2-2-2-222-22-2200002-20000000000
χ392222-2-2-22-2222-2-2000000000000-2-2-2-2222-22-2-2-2220000000000002222-2-2-22-2222-2-2000000000000-2-2-2-2222-22-2-2-222000000000000
χ402222-2-2-22-22-2-222000000000000-2-2-2-2222-22-222-2-20000000000002222-2-2-22-22-2-222000000000000-2-2-2-2222-22-222-2-2000000000000
χ412-22-22-222-2-2000000002-2000000-22-22-22-2-22200000000-220000002-22-22-222-2-2000000002-2000000-22-22-22-2-22200000000-22000000
χ422-22-22-222-2-200000000-22000000-22-22-22-2-222000000002-20000002-22-22-222-2-200000000-22000000-22-22-22-2-222000000002-2000000
χ432-22-22-2-2-2220000000000002-200-22-22-2222-2-2000000000000-22002-22-22-2-2-2220000000000002-200-22-22-2222-2-2000000000000-2200
χ442-22-22-2-2-222000000000000-2200-22-22-2222-2-20000000000002-2002-22-22-2-2-222000000000000-2200-22-22-2222-2-20000000000002-200
χ452-22-2-222-2-22000000000000002i−2i-22-222-2-222-200000000000000−2i2i2-22-2-222-2-22000000000000002i−2i-22-222-2-222-200000000000000−2i2i
χ462-22-2-222-2-2200000000000000−2i2i-22-222-2-222-2000000000000002i−2i2-22-2-222-2-2200000000000000−2i2i-22-222-2-222-2000000000000002i−2i
χ472-22-2-22-222-20000002i−2i00000000-22-222-22-2-22000000−2i2i000000002-22-2-22-222-20000002i−2i00000000-22-222-22-2-22000000−2i2i00000000
χ482-22-2-22-222-2000000−2i2i00000000-22-222-22-2-220000002i−2i000000002-22-2-22-222-2000000−2i2i00000000-22-222-22-2-220000002i−2i00000000
χ4944-4-40000000022−22000000000000-4-44400000000−222200000000000044-4-40000000022−22000000000000-4-44400000000−2222000000000000
χ5044-4-400000000−2222000000000000-4-4440000000022−2200000000000044-4-400000000−2222000000000000-4-4440000000022−22000000000000
χ514-4-440000002i2−2i200000000000000-444-4000000−2i22i2000000000000004-4-440000002i2−2i200000000000000-444-4000000−2i22i200000000000000
χ524-4-44000000−2i22i200000000000000-444-40000002i2−2i2000000000000004-4-44000000−2i22i200000000000000-444-40000002i2−2i200000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ541111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ5511111111111111-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ5611111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ571111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ581111111111-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ591111111111-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1
χ601111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ61222222-2-2-2-200000000002i−2i0000222222-2-2-2-200000000002i−2i0000-2-2-2-2-2-222220000000000−2i2i0000-2-2-2-2-2-222220000000000−2i2i0000
χ62222222-2-2-2-20000000000−2i2i0000222222-2-2-2-20000000000−2i2i0000-2-2-2-2-2-2222200000000002i−2i0000-2-2-2-2-2-2222200000000002i−2i0000
χ632222-2-22-22-200002-200000000002222-2-22-22-200002-20000000000-2-2-2-222-22-220000-220000000000-2-2-2-222-22-220000-220000000000
χ642222-2-22-22-20000-2200000000002222-2-22-22-20000-220000000000-2-2-2-222-22-2200002-20000000000-2-2-2-222-22-2200002-20000000000
χ652222-2-2-22-2222-2-20000000000002222-2-2-22-2222-2-2000000000000-2-2-2-2222-22-2-2-222000000000000-2-2-2-2222-22-2-2-222000000000000
χ662222-2-2-22-22-2-2220000000000002222-2-2-22-22-2-222000000000000-2-2-2-2222-22-222-2-2000000000000-2-2-2-2222-22-222-2-2000000000000
χ672-22-22-222-2-2000000002-20000002-22-22-222-2-2000000002-2000000-22-22-22-2-22200000000-22000000-22-22-22-2-22200000000-22000000
χ682-22-22-222-2-200000000-220000002-22-22-222-2-200000000-22000000-22-22-22-2-222000000002-2000000-22-22-22-2-222000000002-2000000
χ692-22-22-2-2-2220000000000002-2002-22-22-2-2-2220000000000002-200-22-22-2222-2-2000000000000-2200-22-22-2222-2-2000000000000-2200
χ702-22-22-2-2-222000000000000-22002-22-22-2-2-222000000000000-2200-22-22-2222-2-20000000000002-200-22-22-2222-2-20000000000002-200
χ712-22-2-222-2-22000000000000002i−2i2-22-2-222-2-22000000000000002i−2i-22-222-2-222-200000000000000−2i2i-22-222-2-222-200000000000000−2i2i
χ722-22-2-222-2-2200000000000000−2i2i2-22-2-222-2-2200000000000000−2i2i-22-222-2-222-2000000000000002i−2i-22-222-2-222-2000000000000002i−2i
χ732-22-2-22-222-20000002i−2i000000002-22-2-22-222-20000002i−2i00000000-22-222-22-2-22000000−2i2i00000000-22-222-22-2-22000000−2i2i00000000
χ742-22-2-22-222-2000000−2i2i000000002-22-2-22-222-2000000−2i2i00000000-22-222-22-2-220000002i−2i00000000-22-222-22-2-220000002i−2i00000000
χ7544-4-40000000022−2200000000000044-4-40000000022−22000000000000-4-44400000000−2222000000000000-4-44400000000−2222000000000000
χ7644-4-400000000−222200000000000044-4-400000000−2222000000000000-4-4440000000022−22000000000000-4-4440000000022−22000000000000
χ774-4-440000002i2−2i2000000000000004-4-440000002i2−2i200000000000000-444-4000000−2i22i200000000000000-444-4000000−2i22i200000000000000
χ784-4-44000000−2i22i2000000000000004-4-44000000−2i22i200000000000000-444-40000002i2−2i200000000000000-444-40000002i2−2i200000000000000
χ7911111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111
χ801111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-111-1-1-1-1
χ8111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1
χ8211111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111
χ831111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111111111-1-1-1-11111-1-1-1-111-1-1
χ841111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11111111111-1-1-1-111-1-111-1-1-1-111
χ851111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111111111-1-1-1-1-1-111-1-111-1-111
χ861111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1
χ87222222-2-2-2-200000000002i−2i0000-2-2-2-2-2-222220000000000−2i2i0000-2-2-2-2-2-222220000000000−2i2i0000222222-2-2-2-200000000002i−2i0000
χ88222222-2-2-2-20000000000−2i2i0000-2-2-2-2-2-2222200000000002i−2i0000-2-2-2-2-2-2222200000000002i−2i0000222222-2-2-2-20000000000−2i2i0000
χ892222-2-22-22-200002-20000000000-2-2-2-222-22-220000-220000000000-2-2-2-222-22-220000-2200000000002222-2-22-22-200002-20000000000
χ902222-2-22-22-20000-220000000000-2-2-2-222-22-2200002-20000000000-2-2-2-222-22-2200002-200000000002222-2-22-22-20000-220000000000
χ912222-2-2-22-2222-2-2000000000000-2-2-2-2222-22-2-2-222000000000000-2-2-2-2222-22-2-2-2220000000000002222-2-2-22-2222-2-2000000000000
χ922222-2-2-22-22-2-222000000000000-2-2-2-2222-22-222-2-2000000000000-2-2-2-2222-22-222-2-20000000000002222-2-2-22-22-2-222000000000000
χ932-22-22-222-2-2000000002-2000000-22-22-22-2-22200000000-22000000-22-22-22-2-22200000000-220000002-22-22-222-2-2000000002-2000000
χ942-22-22-222-2-200000000-22000000-22-22-22-2-222000000002-2000000-22-22-22-2-222000000002-20000002-22-22-222-2-200000000-22000000
χ952-22-22-2-2-2220000000000002-200-22-22-2222-2-2000000000000-2200-22-22-2222-2-2000000000000-22002-22-22-2-2-2220000000000002-200
χ962-22-22-2-2-222000000000000-2200-22-22-2222-2-20000000000002-200-22-22-2222-2-20000000000002-2002-22-22-2-2-222000000000000-2200
χ972-22-2-222-2-22000000000000002i−2i-22-222-2-222-200000000000000−2i2i-22-222-2-222-200000000000000−2i2i2-22-2-222-2-22000000000000002i−2i
χ982-22-2-222-2-2200000000000000−2i2i-22-222-2-222-2000000000000002i−2i-22-222-2-222-2000000000000002i−2i2-22-2-222-2-2200000000000000−2i2i
χ992-22-2-22-222-20000002i−2i00000000-22-222-22-2-22000000−2i2i00000000-22-222-22-2-22000000−2i2i000000002-22-2-22-222-20000002i−2i00000000
χ1002-22-2-22-222-2000000−2i2i00000000-22-222-22-2-220000002i−2i00000000-22-222-22-2-220000002i−2i000000002-22-2-22-222-2000000−2i2i00000000
χ10144-4-40000000022−22000000000000-4-44400000000−2222000000000000-4-44400000000−222200000000000044-4-40000000022−22000000000000
χ10244-4-400000000−2222000000000000-4-4440000000022−22000000000000-4-4440000000022−2200000000000044-4-400000000−2222000000000000
χ1034-4-440000002i2−2i200000000000000-444-4000000−2i22i200000000000000-444-4000000−2i22i2000000000000004-4-440000002i2−2i200000000000000
χ1044-4-44000000−2i22i200000000000000-444-40000002i2−2i200000000000000-444-40000002i2−2i2000000000000004-4-44000000−2i22i200000000000000

Here i is the imaginary unit (i² = −1).