Finite Group Databasebeta

← Group #6431921

Character table — Group #6431921

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222224444888888888888111122222244448888888888881111222222444488888888888811112222224444888888888888
order12222244448888224444888888222222444488882244448888882222224444888822444488888822222244448888224444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1
χ311111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-111
χ411111111111111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-11111-1-1
χ51111111111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1
χ61111111111-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11111
χ71111111111-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-11111-1-111-1-1
χ81111111111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-111
χ9222222-2-2-2-2000000000000002i−2i222222-2-2-2-2000000000000002i−2i222222-2-2-2-2000000000000002i−2i222222-2-2-2-2000000000000002i−2i
χ10222222-2-2-2-200000000000000−2i2i222222-2-2-2-200000000000000−2i2i222222-2-2-2-200000000000000−2i2i222222-2-2-2-200000000000000−2i2i
χ112222-2-22-2-2222-2-20000000000002222-2-22-2-2222-2-20000000000002222-2-22-2-2222-2-20000000000002222-2-22-2-2222-2-2000000000000
χ122222-2-22-2-22-2-2220000000000002222-2-22-2-22-2-2220000000000002222-2-22-2-22-2-2220000000000002222-2-22-2-22-2-222000000000000
χ132222-2-2-222-20000002-2000000002222-2-2-222-20000002-2000000002222-2-2-222-20000002-2000000002222-2-2-222-20000002-200000000
χ142222-2-2-222-2000000-22000000002222-2-2-222-2000000-22000000002222-2-2-222-2000000-22000000002222-2-2-222-2000000-2200000000
χ152-2-222-222-2-20000000000002i−2i002-2-222-222-2-20000000000002i−2i002-2-222-222-2-20000000000002i−2i002-2-222-222-2-20000000000002i−2i00
χ162-2-222-222-2-2000000000000−2i2i002-2-222-222-2-2000000000000−2i2i002-2-222-222-2-2000000000000−2i2i002-2-222-222-2-2000000000000−2i2i00
χ172-2-222-2-2-22200002-200000000002-2-222-2-2-22200002-200000000002-2-222-2-2-22200002-200000000002-2-222-2-2-22200002-20000000000
χ182-2-222-2-2-2220000-2200000000002-2-222-2-2-2220000-2200000000002-2-222-2-2-2220000-2200000000002-2-222-2-2-2220000-220000000000
χ192-2-22-222-22-200000000002i−2i00002-2-22-222-22-200000000002i−2i00002-2-22-222-22-200000000002i−2i00002-2-22-222-22-200000000002i−2i0000
χ202-2-22-222-22-20000000000−2i2i00002-2-22-222-22-20000000000−2i2i00002-2-22-222-22-20000000000−2i2i00002-2-22-222-22-20000000000−2i2i0000
χ212-2-22-22-22-22000000002-20000002-2-22-22-22-22000000002-20000002-2-22-22-22-22000000002-20000002-2-22-22-22-22000000002-2000000
χ222-2-22-22-22-2200000000-220000002-2-22-22-22-2200000000-220000002-2-22-22-22-2200000000-220000002-2-22-22-22-2200000000-22000000
χ2344-4-4000000002i2−2i200000000000044-4-4000000002i2−2i200000000000044-4-4000000002i2−2i200000000000044-4-4000000002i2−2i2000000000000
χ2444-4-400000000−2i22i200000000000044-4-400000000−2i22i200000000000044-4-400000000−2i22i200000000000044-4-400000000−2i22i2000000000000
χ254-44-40000002i2−2i2000000000000004-44-40000002i2−2i2000000000000004-44-40000002i2−2i2000000000000004-44-40000002i2−2i200000000000000
χ264-44-4000000−2i22i2000000000000004-44-4000000−2i22i2000000000000004-44-4000000−2i22i2000000000000004-44-4000000−2i22i200000000000000
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
χ281111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ2911111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ3011111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ311111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111
χ321111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ331111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111
χ341111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ35222222-2-2-2-2000000000000002i−2i-2-2-2-2-2-2222200000000000000−2i2i222222-2-2-2-2000000000000002i−2i-2-2-2-2-2-2222200000000000000−2i2i
χ36222222-2-2-2-200000000000000−2i2i-2-2-2-2-2-22222000000000000002i−2i222222-2-2-2-200000000000000−2i2i-2-2-2-2-2-22222000000000000002i−2i
χ372222-2-22-2-2222-2-2000000000000-2-2-2-222-222-2-2-2220000000000002222-2-22-2-2222-2-2000000000000-2-2-2-222-222-2-2-222000000000000
χ382222-2-22-2-22-2-222000000000000-2-2-2-222-222-222-2-20000000000002222-2-22-2-22-2-222000000000000-2-2-2-222-222-222-2-2000000000000
χ392222-2-2-222-20000002-200000000-2-2-2-2222-2-22000000-22000000002222-2-2-222-20000002-200000000-2-2-2-2222-2-22000000-2200000000
χ402222-2-2-222-2000000-2200000000-2-2-2-2222-2-220000002-2000000002222-2-2-222-2000000-2200000000-2-2-2-2222-2-220000002-200000000
χ412-2-222-222-2-20000000000002i−2i00-222-2-22-2-222000000000000−2i2i002-2-222-222-2-20000000000002i−2i00-222-2-22-2-222000000000000−2i2i00
χ422-2-222-222-2-2000000000000−2i2i00-222-2-22-2-2220000000000002i−2i002-2-222-222-2-2000000000000−2i2i00-222-2-22-2-2220000000000002i−2i00
χ432-2-222-2-2-22200002-20000000000-222-2-2222-2-20000-2200000000002-2-222-2-2-22200002-20000000000-222-2-2222-2-20000-220000000000
χ442-2-222-2-2-2220000-220000000000-222-2-2222-2-200002-200000000002-2-222-2-2-2220000-220000000000-222-2-2222-2-200002-20000000000
χ452-2-22-222-22-200000000002i−2i0000-222-22-2-22-220000000000−2i2i00002-2-22-222-22-200000000002i−2i0000-222-22-2-22-220000000000−2i2i0000
χ462-2-22-222-22-20000000000−2i2i0000-222-22-2-22-2200000000002i−2i00002-2-22-222-22-20000000000−2i2i0000-222-22-2-22-2200000000002i−2i0000
χ472-2-22-22-22-22000000002-2000000-222-22-22-22-200000000-220000002-2-22-22-22-22000000002-2000000-222-22-22-22-200000000-22000000
χ482-2-22-22-22-2200000000-22000000-222-22-22-22-2000000002-20000002-2-22-22-22-2200000000-22000000-222-22-22-22-2000000002-2000000
χ4944-4-4000000002i2−2i2000000000000-4-44400000000−2i22i200000000000044-4-4000000002i2−2i2000000000000-4-44400000000−2i22i2000000000000
χ5044-4-400000000−2i22i2000000000000-4-444000000002i2−2i200000000000044-4-400000000−2i22i2000000000000-4-444000000002i2−2i2000000000000
χ514-44-40000002i2−2i200000000000000-44-44000000−2i22i2000000000000004-44-40000002i2−2i200000000000000-44-44000000−2i22i200000000000000
χ524-44-4000000−2i22i200000000000000-44-440000002i2−2i2000000000000004-44-4000000−2i22i200000000000000-44-440000002i2−2i200000000000000
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
χ541111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ5511111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ5611111111111111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ571111111111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111
χ581111111111-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ591111111111-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111
χ601111111111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ61222222-2-2-2-2000000000000002i−2i222222-2-2-2-2000000000000002i−2i-2-2-2-2-2-2222200000000000000−2i2i-2-2-2-2-2-2222200000000000000−2i2i
χ62222222-2-2-2-200000000000000−2i2i222222-2-2-2-200000000000000−2i2i-2-2-2-2-2-22222000000000000002i−2i-2-2-2-2-2-22222000000000000002i−2i
χ632222-2-22-2-2222-2-20000000000002222-2-22-2-2222-2-2000000000000-2-2-2-222-222-2-2-222000000000000-2-2-2-222-222-2-2-222000000000000
χ642222-2-22-2-22-2-2220000000000002222-2-22-2-22-2-222000000000000-2-2-2-222-222-222-2-2000000000000-2-2-2-222-222-222-2-2000000000000
χ652222-2-2-222-20000002-2000000002222-2-2-222-20000002-200000000-2-2-2-2222-2-22000000-2200000000-2-2-2-2222-2-22000000-2200000000
χ662222-2-2-222-2000000-22000000002222-2-2-222-2000000-2200000000-2-2-2-2222-2-220000002-200000000-2-2-2-2222-2-220000002-200000000
χ672-2-222-222-2-20000000000002i−2i002-2-222-222-2-20000000000002i−2i00-222-2-22-2-222000000000000−2i2i00-222-2-22-2-222000000000000−2i2i00
χ682-2-222-222-2-2000000000000−2i2i002-2-222-222-2-2000000000000−2i2i00-222-2-22-2-2220000000000002i−2i00-222-2-22-2-2220000000000002i−2i00
χ692-2-222-2-2-22200002-200000000002-2-222-2-2-22200002-20000000000-222-2-2222-2-20000-220000000000-222-2-2222-2-20000-220000000000
χ702-2-222-2-2-2220000-2200000000002-2-222-2-2-2220000-220000000000-222-2-2222-2-200002-20000000000-222-2-2222-2-200002-20000000000
χ712-2-22-222-22-200000000002i−2i00002-2-22-222-22-200000000002i−2i0000-222-22-2-22-220000000000−2i2i0000-222-22-2-22-220000000000−2i2i0000
χ722-2-22-222-22-20000000000−2i2i00002-2-22-222-22-20000000000−2i2i0000-222-22-2-22-2200000000002i−2i0000-222-22-2-22-2200000000002i−2i0000
χ732-2-22-22-22-22000000002-20000002-2-22-22-22-22000000002-2000000-222-22-22-22-200000000-22000000-222-22-22-22-200000000-22000000
χ742-2-22-22-22-2200000000-220000002-2-22-22-22-2200000000-22000000-222-22-22-22-2000000002-2000000-222-22-22-22-2000000002-2000000
χ7544-4-4000000002i2−2i200000000000044-4-4000000002i2−2i2000000000000-4-44400000000−2i22i2000000000000-4-44400000000−2i22i2000000000000
χ7644-4-400000000−2i22i200000000000044-4-400000000−2i22i2000000000000-4-444000000002i2−2i2000000000000-4-444000000002i2−2i2000000000000
χ774-44-40000002i2−2i2000000000000004-44-40000002i2−2i200000000000000-44-44000000−2i22i200000000000000-44-44000000−2i22i200000000000000
χ784-44-4000000−2i22i2000000000000004-44-4000000−2i22i200000000000000-44-440000002i2−2i200000000000000-44-440000002i2−2i200000000000000
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
χ801111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111111111-1-111-1-1-1-1-1-1
χ8111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111111111111111-1-111-1-1-1-1-1-111
χ8211111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1
χ831111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111111111-1-1-1-11111-1-111-1-1-1-1
χ841111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111
χ851111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-111-1-1
χ861111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-111
χ87222222-2-2-2-2000000000000002i−2i-2-2-2-2-2-2222200000000000000−2i2i-2-2-2-2-2-2222200000000000000−2i2i222222-2-2-2-2000000000000002i−2i
χ88222222-2-2-2-200000000000000−2i2i-2-2-2-2-2-22222000000000000002i−2i-2-2-2-2-2-22222000000000000002i−2i222222-2-2-2-200000000000000−2i2i
χ892222-2-22-2-2222-2-2000000000000-2-2-2-222-222-2-2-222000000000000-2-2-2-222-222-2-2-2220000000000002222-2-22-2-2222-2-2000000000000
χ902222-2-22-2-22-2-222000000000000-2-2-2-222-222-222-2-2000000000000-2-2-2-222-222-222-2-20000000000002222-2-22-2-22-2-222000000000000
χ912222-2-2-222-20000002-200000000-2-2-2-2222-2-22000000-2200000000-2-2-2-2222-2-22000000-22000000002222-2-2-222-20000002-200000000
χ922222-2-2-222-2000000-2200000000-2-2-2-2222-2-220000002-200000000-2-2-2-2222-2-220000002-2000000002222-2-2-222-2000000-2200000000
χ932-2-222-222-2-20000000000002i−2i00-222-2-22-2-222000000000000−2i2i00-222-2-22-2-222000000000000−2i2i002-2-222-222-2-20000000000002i−2i00
χ942-2-222-222-2-2000000000000−2i2i00-222-2-22-2-2220000000000002i−2i00-222-2-22-2-2220000000000002i−2i002-2-222-222-2-2000000000000−2i2i00
χ952-2-222-2-2-22200002-20000000000-222-2-2222-2-20000-220000000000-222-2-2222-2-20000-2200000000002-2-222-2-2-22200002-20000000000
χ962-2-222-2-2-2220000-220000000000-222-2-2222-2-200002-20000000000-222-2-2222-2-200002-200000000002-2-222-2-2-2220000-220000000000
χ972-2-22-222-22-200000000002i−2i0000-222-22-2-22-220000000000−2i2i0000-222-22-2-22-220000000000−2i2i00002-2-22-222-22-200000000002i−2i0000
χ982-2-22-222-22-20000000000−2i2i0000-222-22-2-22-2200000000002i−2i0000-222-22-2-22-2200000000002i−2i00002-2-22-222-22-20000000000−2i2i0000
χ992-2-22-22-22-22000000002-2000000-222-22-22-22-200000000-22000000-222-22-22-22-200000000-220000002-2-22-22-22-22000000002-2000000
χ1002-2-22-22-22-2200000000-22000000-222-22-22-22-2000000002-2000000-222-22-22-22-2000000002-20000002-2-22-22-22-2200000000-22000000
χ10144-4-4000000002i2−2i2000000000000-4-44400000000−2i22i2000000000000-4-44400000000−2i22i200000000000044-4-4000000002i2−2i2000000000000
χ10244-4-400000000−2i22i2000000000000-4-444000000002i2−2i2000000000000-4-444000000002i2−2i200000000000044-4-400000000−2i22i2000000000000
χ1034-44-40000002i2−2i200000000000000-44-44000000−2i22i200000000000000-44-44000000−2i22i2000000000000004-44-40000002i2−2i200000000000000
χ1044-44-4000000−2i22i200000000000000-44-440000002i2−2i200000000000000-44-440000002i2−2i2000000000000004-44-4000000−2i22i200000000000000

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