Finite Group Databasebeta

← Group #352239

Character table — Group #352239

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111222222222222222222222222222222222244444444444444444444444444444444444444444444443232323232323232
order12222244444444888888888888888888888888224444444488888888888888888888888888888888888822448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
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
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1
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
χ1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-1-11-11
χ1211111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-111-11-1
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
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11-1-11-111-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-111-11-1-11
χ1722222222-2-2-2-2222222-2-2-2-2000000000000000022-222-2-2-2-2-222-2-2000000002222-2-2-2-2000000000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-20000000000000000-2-2-2-2-222-22222-2-200000000-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-222-2-2-2-22222000000000000000022-222-2-2-2-2-2-2-22200000000-2-2-2-22222000000000000000000000000
χ2022222222-2-2-2-222-2-2-2-222220000000000000000-2-2-2-2-222-222-2-222000000002222-2-2-2-2000000000000000000000000
χ21222222-2-222-2-2-2-200000000000000002222-2-2-2-20020000-2000000000022-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000
χ22222222-2-222-2-2-2-200000000000000002222-2-2-2-20020000-2000000000022-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000
χ23222222-2-222-2-2-2-20000000000000000-2-2-2-222220020000-20000000000-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000
χ24222222-2-222-2-2-2-20000000000000000-2-2-2-222220020000-20000000000-2-222−2i−2i2i2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000
χ25222222-2-2-2-222-2-2000000002222-2-2-2-20000000000-20000200000022-2-200002i2i−2i−2i−2i−2i2i2i000000002i2i2i2i−2i−2i−2i−2i00000000
χ26222222-2-2-2-222-2-2000000002222-2-2-2-20000000000-20000200000022-2-20000−2i−2i2i2i2i2i−2i−2i00000000−2i−2i−2i−2i2i2i2i2i00000000
χ27222222-2-2-2-222-2-200000000-2-2-2-222220000000000-200002000000-2-22200002i2i−2i−2i−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i00000000
χ28222222-2-2-2-222-2-200000000-2-2-2-222220000000000-200002000000-2-2220000−2i−2i2i2i2i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i00000000
χ292222-2-2222222-2-222222222222222222222222200-20000-200-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ302222-2-2222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200-20000-200-2-2-2-22222222200000000000000000000000000000000
χ312222-2-2222222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200-20000-2002222-2-2-2-2222200000000000000000000000000000000
χ322222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200-20000-20022222222-2-2-2-200000000000000000000000000000000
χ332222-2-222-2-2-2-2-2-22222-2-2-2-200000000000000000020000200-2-22200000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000
χ342222-2-222-2-2-2-2-2-22222-2-2-2-200000000000000000020000200-2-2220000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000
χ352222-2-222-2-2-2-2-2-2-2-2-2-222220000000000000000002000020022-2-200000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000
χ362222-2-222-2-2-2-2-2-2-2-2-2-222220000000000000000002000020022-2-20000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000
χ372222-2-2-2-222-2-22200000000000000002222-2-2-2-222-2-2-2222-2-200000000-2-222000000000000000022-2-2-2-22200000000
χ382222-2-2-2-222-2-22200000000000000002222-2-2-2-2-2-2-222-2-222200000000-2-2220000000000000000-2-22222-2-200000000
χ392222-2-2-2-222-2-2220000000000000000-2-2-2-2222222-2-2-2222-2-20000000022-2-20000000000000000-2-22222-2-200000000
χ402222-2-2-2-222-2-2220000000000000000-2-2-2-22222-2-2-222-2-22220000000022-2-2000000000000000022-2-2-2-22200000000
χ412222-2-2-2-2-2-22222000000002222-2-2-2-200000000222-2-2-2-2-2220000-2-222000000000000-2-22222-2-20000000000000000
χ422222-2-2-2-2-2-22222000000002222-2-2-2-200000000-2-222222-2-2-20000-2-22200000000000022-2-2-2-2220000000000000000
χ432222-2-2-2-2-2-2222200000000-2-2-2-2222200000000222-2-2-2-2-222000022-2-200000000000022-2-2-2-2220000000000000000
χ442222-2-2-2-2-2-2222200000000-2-2-2-2222200000000-2-222222-2-2-2000022-2-2000000000000-2-22222-2-20000000000000000
χ4522-2-22-22-200002-2000022-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000002i−2i02i−2i002-2i2−i2i2−i2i2−i2i2−i22i−2i2i−2i00002−22−22−22−22−22−22−22−200000000
χ4622-2-22-22-200002-2000022-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000−2i2i0−2i2i002-2i2−i2i2−i2i2−i2i2−i2−2i2i−2i2i0000−22−22−22−22−22−22−22−2200000000
χ4722-2-22-22-200002-2000022-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000002i−2i02i−2i002-2−i2i2−i2i2−i2i2−i2i22i−2i2i−2i0000−22−22−22−22−22−22−22−2200000000
χ4822-2-22-22-200002-2000022-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000−2i2i0−2i2i002-2−i2i2−i2i2−i2i2−i2i2−2i2i−2i2i00002−22−22−22−22−22−22−22−200000000
χ4922-2-22-22-200002-20000-2-222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000002i−2i02i−2i00-22i2−i2i2−i2−i2i2−i2i2−2i2i−2i2i00002−22−22−22−2−22−22−22−2200000000
χ5022-2-22-22-200002-20000-2-222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000−2i2i0−2i2i00-22i2−i2i2−i2−i2i2−i2i22i−2i2i−2i0000−22−22−22−222−22−22−22−200000000
χ5122-2-22-22-200002-20000-2-222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000002i−2i02i−2i00-22−i2i2−i2i2i2−i2i2−i2−2i2i−2i2i0000−22−22−22−222−22−22−22−200000000
χ5222-2-22-22-200002-20000-2-222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000−2i2i0−2i2i00-22−i2i2−i2i2i2−i2i2−i22i−2i2i−2i00002−22−22−22−2−22−22−22−2200000000
χ5322-2-22-2-220000-2222-2-20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i22-202-2000002-200i2−i2−i2i2i2−i2−i2i22-2-220000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000
χ5422-2-22-2-220000-2222-2-20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2-220-22000002-200i2−i2−i2i2i2−i2−i2i2-222-20000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000
χ5522-2-22-2-220000-2222-2-20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i22-202-2000002-200−i2i2i2−i2−i2i2i2−i22-2-220000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000
χ5622-2-22-2-220000-2222-2-20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2-220-22000002-200−i2i2i2−i2−i2i2i2−i2-222-20000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000
χ5722-2-22-2-220000-22-2-2220000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i22-202-200000-2200i2−i2−i2i2−i2i2i2−i2-222-20000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000
χ5822-2-22-2-220000-22-2-2220000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2-220-2200000-2200i2−i2−i2i2−i2i2i2−i22-2-220000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000
χ5922-2-22-2-220000-22-2-2220000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i22-202-200000-2200−i2i2i2−i2i2−i2−i2i2-222-20000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000
χ6022-2-22-2-220000-22-2-2220000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2-220-2200000-2200−i2i2i2−i2i2−i2−i2i22-2-220000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000
χ6122-2-2-222-20000-22000022-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-20-220000000-22−i2i2−i2i2−i2i2−i2i200002-22-2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200000000
χ6222-2-2-222-20000-22000022-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-2202-20000000-22−i2i2−i2i2−i2i2−i2i20000-22-22−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200000000
χ6322-2-2-222-20000-22000022-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-20-220000000-22i2−i2i2−i2i2−i2i2−i200002-22-2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200000000
χ6422-2-2-222-20000-22000022-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-2202-20000000-22i2−i2i2−i2i2−i2i2−i20000-22-22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200000000
χ6522-2-2-222-20000-220000-2-222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i22-20-2200000002-2−i2i2−i2i2i2−i2i2−i20000-22-22i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i200000000
χ6622-2-2-222-20000-220000-2-222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-2202-200000002-2−i2i2−i2i2i2−i2i2−i200002-22-2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200000000
χ6722-2-2-222-20000-220000-2-222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i22-20-2200000002-2i2−i2i2−i2−i2i2−i2i20000-22-22−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200000000
χ6822-2-2-222-20000-220000-2-222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-2202-200000002-2i2−i2i2−i2−i2i2−i2i200002-22-2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i200000000
χ6922-2-2-22-2200002-222-2-20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000002i−2i0−2i2i-2200−i2i2i2−i2−i2i2i2−i20000−2i2i2i−2i2−2−22−222−22−2−22−222−200000000
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χ7122-2-2-22-2200002-222-2-20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000002i−2i0−2i2i-2200i2−i2−i2i2i2−i2−i2i20000−2i2i2i−2i−222−22−2−22−222−22−2−2200000000
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χ7422-2-2-22-2200002-2-2-2220000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000−2i2i02i−2i2-200−i2i2i2−i2i2−i2−i2i20000−2i2i2i−2i−222−22−2−222−2−22−222−200000000
χ7522-2-2-22-2200002-2-2-2220000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000002i−2i0−2i2i2-200i2−i2−i2i2−i2i2i2−i200002i−2i−2i2i−222−22−2−222−2−22−222−200000000
χ7622-2-2-22-2200002-2-2-2220000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000−2i2i02i−2i2-200i2−i2−i2i2−i2i2i2−i20000−2i2i2i−2i2−2−22−222−2−222−22−2−2200000000
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χ824-44-40000-44000022−2222−22−2222−2222−2i22i2−2i22i22i2−2i22i2−2i2−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000
χ834-44-40000-440000−2222−222222−2222−222i2−2i22i2−2i2−2i22i2−2i22i2−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000
χ844-44-40000-440000−2222−222222−2222−22−2i22i2−2i22i22i2−2i22i2−2i24i−4i4i−4i0000000000000000000000000000000000000000000000000000000000
χ854-4-440000004-40022−22−222222−22−222200004-4-4422−22−222222−22−2222000000000000000000000000000000000000000000000000000000
χ864-4-440000004-40022−22−222222−22−22220000-444-4−222222−22−222222−22000000000000000000000000000000000000000000000000000000
χ874-4-440000004-400−222222−22−222222−2200004-4-44−222222−22−222222−22000000000000000000000000000000000000000000000000000000
χ884-4-440000004-400−222222−22−222222−220000-444-422−22−222222−22−2222000000000000000000000000000000000000000000000000000000
χ894-4-44000000-440022−22−2222−222222−224-4-44000022−22−2222−222222−22000000000000000000000000000000000000000000000000000000
χ904-4-44000000-440022−22−2222−222222−22-444-40000−222222−2222−22−2222000000000000000000000000000000000000000000000000000000
χ914-4-44000000-4400−222222−2222−22−22224-4-440000−222222−2222−22−2222000000000000000000000000000000000000000000000000000000
χ924-4-44000000-4400−222222−2222−22−2222-444-4000022−22−2222−222222−22000000000000000000000000000000000000000000000000000000

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