Finite Group Databasebeta

← Group #352245

Character table — Group #352245

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
χ1722222222-2-2-2-22200000000000000002222-2-2-2-222-222-2-2-2-2-20000000022-2-200000000000000002222-2-2-2-200000000
χ1822222222-2-2-2-22200000000000000002222-2-2-2-2-2-2-2-2-222-2220000000022-2-20000000000000000-2-2-2-2222200000000
χ1922222222-2-2-2-2220000000000000000-2-2-2-2222222-222-2-2-2-2-200000000-2-2220000000000000000-2-2-2-2222200000000
χ2022222222-2-2-2-2220000000000000000-2-2-2-22222-2-2-2-2-222-22200000000-2-22200000000000000002222-2-2-2-200000000
χ21222222-2-222-2-2-2-2000000002222-2-2-2-2000000000020000-200000022-2-200002i2i2i2i−2i−2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i00000000
χ22222222-2-222-2-2-2-2000000002222-2-2-2-2000000000020000-200000022-2-20000−2i−2i−2i−2i2i2i2i2i00000000−2i−2i2i2i−2i−2i2i2i00000000
χ23222222-2-222-2-2-2-200000000-2-2-2-22222000000000020000-2000000-2-22200002i2i2i2i−2i−2i−2i−2i00000000−2i−2i2i2i−2i−2i2i2i00000000
χ24222222-2-222-2-2-2-200000000-2-2-2-22222000000000020000-2000000-2-2220000−2i−2i−2i−2i2i2i2i2i000000002i2i−2i−2i2i2i−2i−2i00000000
χ25222222-2-2-2-222-2-22222-2-2-2-2000000000000000000-2000020022-2-200000000000000002i2i2i2i−2i−2i−2i−2i2i2i−2i−2i−2i−2i2i2i00000000
χ26222222-2-2-2-222-2-22222-2-2-2-2000000000000000000-2000020022-2-20000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i2i2i−2i−2i00000000
χ27222222-2-2-2-222-2-2-2-2-2-22222000000000000000000-20000200-2-22200000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000
χ28222222-2-2-2-222-2-2-2-2-2-22222000000000000000000-20000200-2-2220000000000000000−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i2i2i00000000
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
χ332222-2-222-2-2-2-2-2-200000000000000002222-2-2-2-2002000020000000000-2-2222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000
χ342222-2-222-2-2-2-2-2-200000000000000002222-2-2-2-2002000020000000000-2-222−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000
χ352222-2-222-2-2-2-2-2-20000000000000000-2-2-2-2222200200002000000000022-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000
χ362222-2-222-2-2-2-2-2-20000000000000000-2-2-2-2222200200002000000000022-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000
χ372222-2-2-2-222-2-222000000002222-2-2-2-20000000022-2-2-2222-2-20000-2-22200000000000022-2-2-2-2220000000000000000
χ382222-2-2-2-222-2-222000000002222-2-2-2-200000000-2-2-222-2-22220000-2-222000000000000-2-22222-2-20000000000000000
χ392222-2-2-2-222-2-22200000000-2-2-2-222220000000022-2-2-2222-2-2000022-2-2000000000000-2-22222-2-20000000000000000
χ402222-2-2-2-222-2-22200000000-2-2-2-2222200000000-2-2-222-2-2222000022-2-200000000000022-2-2-2-2220000000000000000
χ412222-2-2-2-2-2-222222222-2-2-2-20000000000000000222-2-2-2-2-222-2-22200000000-2-22222-2-2000000000000000000000000
χ422222-2-2-2-2-2-222222222-2-2-2-20000000000000000-2-222222-2-2-2-2-2220000000022-2-2-2-222000000000000000000000000
χ432222-2-2-2-2-2-22222-2-2-2-222220000000000000000222-2-2-2-2-22222-2-20000000022-2-2-2-222000000000000000000000000
χ442222-2-2-2-2-2-22222-2-2-2-222220000000000000000-2-222222-2-2-222-2-200000000-2-22222-2-2000000000000000000000000
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χ4922-2-22-22-200002-2−2−222−2−222i2i2−i2−i2i2i2−i2−i20000−2i−2i2i2i000002i−2i02i−2i−22−22i2−i2i2−i200−2i2i−i2i2−i2i2−i2i2−i2i22−22−22−22−2-22-22000000000000
χ5022-2-22-22-200002-2−2−222−2−222i2i2−i2−i2i2i2−i2−i20000−2i−2i2i2i00000−2i2i0−2i2i−22−22i2−i2i2−i200−2i2ii2−i2i2−i2i2−i2i2−i2−22−22−22−222-22-2000000000000
χ5122-2-22-22-200002-2−2−222−2−222−i2−i2i2i2−i2−i2i2i200002i2i−2i−2i000002i−2i02i−2i−22−22−i2i2−i2i2002i−2i−i2i2−i2i2−i2i2−i2i2−22−22−22−222-22-2000000000000
χ5222-2-22-22-200002-2−2−222−2−222−i2−i2i2i2−i2−i2i2i200002i2i−2i−2i00000−2i2i0−2i2i−22−22−i2i2−i2i2002i−2ii2−i2i2−i2i2−i2i2−i22−22−22−22−2-22-22000000000000
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χ5422-2-22-2-220000-2222−2−2−2−222i2i2−i2−i2−i2−i2i2i22i2i−2i−2i0000-220-22000002−2−22i2−i2−i2i22i−2i00−22−222−22−2i2−i2i2−i2−i2i2−i2i22i−2i−2i2i000000000000
χ5522-2-22-2-220000-2222−2−2−2−222−i2−i2i2i2i2i2−i2−i2−2i−2i2i2i00002-202-2000002−2−22−i2i2i2−i2−2i2i002−22−2−22−22i2−i2i2−i2−i2i2−i2i22i−2i−2i2i000000000000
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χ5822-2-22-2-220000-22−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−2i−2i2i2i0000-220-2200000−222−2i2−i2−i2i2−2i2i002−22−2−22−22i2−i2i2−i2−i2i2−i2i2−2i2i2i−2i000000000000
χ5922-2-22-2-220000-22−2−22222−2−2−i2−i2i2i2i2i2−i2−i22i2i−2i−2i00002-202-200000−222−2−i2i2i2−i22i−2i00−22−222−22−2i2−i2i2−i2−i2i2−i2i2−2i2i2i−2i000000000000
χ6022-2-22-2-220000-22−2−22222−2−2−i2−i2i2i2i2i2−i2−i22i2i−2i−2i0000-220-2200000−222−2−i2i2i2−i22i−2i002−22−2−22−22−i2i2−i2i2i2−i2i2−i22i−2i−2i2i000000000000
χ6122-2-2-222-20000-2222−2−222−2−2i2i2−i2−i2i2i2−i2−i200002i2i−2i−2i2-20-2200000−22−22−i2i2−i2i200−2i2i−222−2−222−2−i2i2i2−i2−i2i2i2−i200002i−2i2i−2i00000000
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χ894-4-44000000-44004-4-44000022−22−2222−222222−2222−22−2222−222222−22000000000000000000000000000000000000000000000000000000
χ904-4-44000000-44004-4-440000−222222−2222−22−2222−222222−2222−22−2222000000000000000000000000000000000000000000000000000000
χ914-4-44000000-4400-444-4000022−22−2222−222222−22−222222−2222−22−2222000000000000000000000000000000000000000000000000000000
χ924-4-44000000-4400-444-40000−222222−2222−22−222222−22−2222−222222−22000000000000000000000000000000000000000000000000000000

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