Finite Group Databasebeta

← Group #352244

Character table — Group #352244

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111222222222222222222222222222222222244444444444444444444444444444444444444444444443232323232323232
order12222244444444888888888888888888888888224444444488888888888888888888888888888888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-11-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-11-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1
χ911111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1
χ1011111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11
χ1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-1-11-11
χ1211111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-111-11-1
χ1311111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-11
χ1411111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11-1-11-111-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-111-11-1-11
χ1722222222-2-2-2-2-2-200000000000000002222-2-2-2-200200-200000000000022-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000
χ1822222222-2-2-2-2-2-200000000000000002222-2-2-2-200200-200000000000022-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000
χ1922222222-2-2-2-2-2-20000000000000000-2-2-2-2222200200-2000000000000-2-2222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000
χ2022222222-2-2-2-2-2-20000000000000000-2-2-2-2222200200-2000000000000-2-222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000
χ21222222-2-222-2-222000000002222-2-2-2-20000000022-2-2-2-222-2-2000022-2-200000000000022-2-222-2-20000000000000000
χ22222222-2-222-2-222000000002222-2-2-2-200000000-2-2-222-2-2-222000022-2-2000000000000-2-222-2-2220000000000000000
χ23222222-2-222-2-22200000000-2-2-2-222220000000022-2-2-2-222-2-20000-2-222000000000000-2-222-2-2220000000000000000
χ24222222-2-222-2-22200000000-2-2-2-2222200000000-2-2-222-2-2-2220000-2-22200000000000022-2-222-2-20000000000000000
χ25222222-2-2-2-222-2-22222-2-2-2-2000000000000000000-2002000022-2-200000000000000002i2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i00000000
χ26222222-2-2-2-222-2-22222-2-2-2-2000000000000000000-2002000022-2-20000000000000000−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000
χ27222222-2-2-2-222-2-2-2-2-2-22222000000000000000000-20020000-2-22200000000000000002i2i−2i−2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000
χ28222222-2-2-2-222-2-2-2-2-2-22222000000000000000000-20020000-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000
χ292222-2-2222222-2-222222222222222222222222200-200-20000-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ302222-2-2222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200-200-20000-2-2-2-22222222200000000000000000000000000000000
χ312222-2-2222222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200-200-200002222-2-2-2-2222200000000000000000000000000000000
χ322222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200-200-2000022222222-2-2-2-200000000000000000000000000000000
χ332222-2-222-2-2-2-22200000000000000002222-2-2-2-222-2222-2-2-2-200000000-2-222000000000000000022-2-222-2-200000000
χ342222-2-222-2-2-2-22200000000000000002222-2-2-2-2-2-2-2-2-22222200000000-2-2220000000000000000-2-222-2-22200000000
χ352222-2-222-2-2-2-2220000000000000000-2-2-2-2222222-2222-2-2-2-20000000022-2-20000000000000000-2-222-2-22200000000
χ362222-2-222-2-2-2-2220000000000000000-2-2-2-22222-2-2-2-2-2222220000000022-2-2000000000000000022-2-222-2-200000000
χ372222-2-2-2-222-2-2-2-2000000002222-2-2-2-20000000000200200000000-2-22200002i2i−2i−2i2i2i−2i−2i000000002i2i−2i−2i−2i−2i2i2i00000000
χ382222-2-2-2-222-2-2-2-2000000002222-2-2-2-20000000000200200000000-2-2220000−2i−2i2i2i−2i−2i2i2i00000000−2i−2i2i2i2i2i−2i−2i00000000
χ392222-2-2-2-222-2-2-2-200000000-2-2-2-22222000000000020020000000022-2-200002i2i−2i−2i2i2i−2i−2i00000000−2i−2i2i2i2i2i−2i−2i00000000
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χ412222-2-2-2-2-2-222222222-2-2-2-20000000000000000222-2-2-2-2-222-2-22200000000-2-22222-2-2000000000000000000000000
χ422222-2-2-2-2-2-222222222-2-2-2-20000000000000000-2-2222-222-2-2-2-2220000000022-2-2-2-222000000000000000000000000
χ432222-2-2-2-2-2-22222-2-2-2-222220000000000000000222-2-2-2-2-22222-2-20000000022-2-2-2-222000000000000000000000000
χ442222-2-2-2-2-2-22222-2-2-2-222220000000000000000-2-2222-222-2-222-2-200000000-2-22222-2-2000000000000000000000000
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χ482-22-22-2002-2002-222−2−222−2−20000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2000−2i2i000−2i2i2−22−200−2i2i−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-2002-2002−22−22−22−200000000
χ492-22-22-2002-2002-2−2−222−2−22200002i2i−2i−2i−i2−i2i2i2−i2−i2i2i20002i−2i0002i−2i−22−22002i−2i−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-2002-200−22−22−22−2200000000
χ502-22-22-2002-2002-2−2−222−2−22200002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2000−2i2i000−2i2i−22−22002i−2i−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2-2200-22002−22−22−22−200000000
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χ522-22-22-2002-2002-2−2−222−2−2220000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2000−2i2i000−2i2i−22−2200−2i2ii2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-2002-200−22−22−22−2200000000
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χ552-22-22-200-2200-2222−2−2−2−222−2i−2i2i2i0000−i2−i2i2i2i2i2−i2−i22-200002-2002−2−22−2i2i00−i2i2i2−i22−22−2−22−222i−2i00−2i2i00i2−i2i2−i2−i2i2−i2i200000000
χ562-22-22-200-2200-2222−2−2−2−222−2i−2i2i2i0000−i2−i2i2i2i2i2−i2−i2-220000-22002−2−22−2i2i00−i2i2i2−i2−22−222−22−2−2i2i002i−2i00−i2i2−i2i2i2−i2i2−i200000000
χ572-22-22-200-2200-22−2−22222−2−22i2i−2i−2i0000−i2−i2i2i2i2i2−i2−i22-200002-200−222−22i−2i00−i2i2i2−i2−22−222−22−2−2i2i002i−2i00i2−i2i2−i2−i2i2−i2i200000000
χ582-22-22-200-2200-22−2−22222−2−22i2i−2i−2i0000−i2−i2i2i2i2i2−i2−i2-220000-2200−222−22i−2i00−i2i2i2−i22−22−2−22−222i−2i00−2i2i00−i2i2−i2i2i2−i2i2−i200000000
χ592-22-22-200-2200-22−2−22222−2−2−2i−2i2i2i0000i2i2−i2−i2−i2−i2i2i22-200002-200−222−2−2i2i00i2−i2−i2i2−22−222−22−22i−2i00−2i2i00−i2i2−i2i2i2−i2i2−i200000000
χ602-22-22-200-2200-22−2−22222−2−2−2i−2i2i2i0000i2i2−i2−i2−i2−i2i2i2-220000-2200−222−2−2i2i00i2−i2−i2i22−22−2−22−22−2i2i002i−2i00i2−i2i2−i2−i2i2−i2i200000000
χ612-22-2-22002-200-2222−2−222−2−200002i2i−2i−2ii2i2−i2−i2i2i2−i2−i22-20000-2200−22−2200−2i2i−i2i2−i2i2−222−2−222−2002i−2i002i−2i−i2i2i2−i2i2−i2−i2i200000000
χ622-22-2-22002-200-2222−2−222−2−200002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2-2200002-200−22−2200−2i2i−i2i2−i2i22−2−222−2−2200−2i2i00−2i2ii2−i2−i2i2−i2i2i2−i200000000
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χ682-22-2-22002-200-22−2−222−2−2220000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2-2200002-2002−22−2002i−2i−i2i2−i2i2−222−2−222−2002i−2i002i−2ii2−i2−i2i2−i2i2i2−i200000000
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χ904-4-44000000-44004-4-440000−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000
χ914-4-44000000-4400-444-400002i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000
χ924-4-44000000-4400-444-40000−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000

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