Finite Group Databasebeta

← Group #6629732

Character table — Group #6629732

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222224444444444444444444444441616161616161616111111112222222222224444444444444444444444441616161616161616
order12222222444488888888224444444444888888888888444444442222222244448888888822444444444488888888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ611111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ711111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ9111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1
χ10111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11
χ11111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-1-11-11111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-1-11-11
χ12111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-11-111-11-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-11-111-11-1
χ13111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111-1-111-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111-1-111-1-11
χ14111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-111-1-111-1
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11-1-11-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11-1-11-111-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-111-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-111-11-1-11
χ1722222222-2-2-2-2000000002222-2-2-2-2-2-2220000000000000000000022222222-2-2-2-2000000002222-2-2-2-2-2-22200000000000000000000
χ1822222222-2-2-2-20000000022-2-222-2-222-2-20000000000000000000022222222-2-2-2-20000000022-2-222-2-222-2-200000000000000000000
χ1922222222-2-2-2-200000000-2-2222222-2-2-2-20000000000000000000022222222-2-2-2-200000000-2-2222222-2-2-2-200000000000000000000
χ2022222222-2-2-2-200000000-2-2-2-2-2-22222220000000000000000000022222222-2-2-2-200000000-2-2-2-2-2-222222200000000000000000000
χ21222-2-2-22-22-22-20000000000002i−2i00002i−2i22-2-22i2i−2i−2i000000000000222-2-2-22-22-22-20000000000002i−2i00002i−2i22-2-22i2i−2i−2i000000000000
χ22222-2-2-22-22-22-20000000000002i−2i00002i−2i-2-222−2i−2i2i2i000000000000222-2-2-22-22-22-20000000000002i−2i00002i−2i-2-222−2i−2i2i2i000000000000
χ23222-2-2-22-22-22-2000000000000−2i2i0000−2i2i22-2-2−2i−2i2i2i000000000000222-2-2-22-22-22-2000000000000−2i2i0000−2i2i22-2-2−2i−2i2i2i000000000000
χ24222-2-2-22-22-22-2000000000000−2i2i0000−2i2i-2-2222i2i−2i−2i000000000000222-2-2-22-22-22-2000000000000−2i2i0000−2i2i-2-2222i2i−2i−2i000000000000
χ25222-2-2-22-2-22-222i2i2i2i−2i−2i−2i−2i00002i−2i0000−2i2i0000000022-2-200000000222-2-2-22-2-22-222i2i2i2i−2i−2i−2i−2i00002i−2i0000−2i2i0000000022-2-200000000
χ26222-2-2-22-2-22-222i2i2i2i−2i−2i−2i−2i0000−2i2i00002i−2i00000000-2-22200000000222-2-2-22-2-22-222i2i2i2i−2i−2i−2i−2i0000−2i2i00002i−2i00000000-2-22200000000
χ27222-2-2-22-2-22-22−2i−2i−2i−2i2i2i2i2i00002i−2i0000−2i2i00000000-2-22200000000222-2-2-22-2-22-22−2i−2i−2i−2i2i2i2i2i00002i−2i0000−2i2i00000000-2-22200000000
χ28222-2-2-22-2-22-22−2i−2i−2i−2i2i2i2i2i0000−2i2i00002i−2i0000000022-2-200000000222-2-2-22-2-22-22−2i−2i−2i−2i2i2i2i2i0000−2i2i00002i−2i0000000022-2-200000000
χ292-2-222-22-22-2-222i2i−2i−2i2i2i−2i−2i002i−2i00002i−2i0000002-22-20000000000002-2-222-22-22-2-222i2i−2i−2i2i2i−2i−2i002i−2i00002i−2i0000002-22-2000000000000
χ302-2-222-22-22-2-222i2i−2i−2i2i2i−2i−2i00−2i2i0000−2i2i000000-22-220000000000002-2-222-22-22-2-222i2i−2i−2i2i2i−2i−2i00−2i2i0000−2i2i000000-22-22000000000000
χ312-2-222-22-22-2-22−2i−2i2i2i−2i−2i2i2i002i−2i00002i−2i000000-22-220000000000002-2-222-22-22-2-22−2i−2i2i2i−2i−2i2i2i002i−2i00002i−2i000000-22-22000000000000
χ322-2-222-22-22-2-22−2i−2i2i2i−2i−2i2i2i00−2i2i0000−2i2i0000002-22-20000000000002-2-222-22-22-2-22−2i−2i2i2i−2i−2i2i2i00−2i2i0000−2i2i0000002-22-2000000000000
χ332-2-222-22-2-222-200000000002i−2i0000−2i2i002-22-200002i−2i2i−2i000000002-2-222-22-2-222-200000000002i−2i0000−2i2i002-22-200002i−2i2i−2i00000000
χ342-2-222-22-2-222-200000000002i−2i0000−2i2i00-22-220000−2i2i−2i2i000000002-2-222-22-2-222-200000000002i−2i0000−2i2i00-22-220000−2i2i−2i2i00000000
χ352-2-222-22-2-222-20000000000−2i2i00002i−2i002-22-20000−2i2i−2i2i000000002-2-222-22-2-222-20000000000−2i2i00002i−2i002-22-20000−2i2i−2i2i00000000
χ362-2-222-22-2-222-20000000000−2i2i00002i−2i00-22-2200002i−2i2i−2i000000002-2-222-22-2-222-20000000000−2i2i00002i−2i00-22-2200002i−2i2i−2i00000000
χ372-2-2-2-222222-2-2000000002-200002-2000000002i−2i−2i2i2i−2i−2i2i000000002-2-2-2-222222-2-2000000002-200002-2000000002i−2i−2i2i2i−2i−2i2i00000000
χ382-2-2-2-222222-2-2000000002-200002-200000000−2i2i2i−2i−2i2i2i−2i000000002-2-2-2-222222-2-2000000002-200002-200000000−2i2i2i−2i−2i2i2i−2i00000000
χ392-2-2-2-222222-2-200000000-220000-22000000002i−2i−2i2i−2i2i2i−2i000000002-2-2-2-222222-2-200000000-220000-22000000002i−2i−2i2i−2i2i2i−2i00000000
χ402-2-2-2-222222-2-200000000-220000-2200000000−2i2i2i−2i2i−2i−2i2i000000002-2-2-2-222222-2-200000000-220000-2200000000−2i2i2i−2i2i−2i−2i2i00000000
χ412-2-2-2-2222-2-22222-2-2-2-2222-20000-220000-222-200000000000000002-2-2-2-2222-2-22222-2-2-2-2222-20000-220000-222-20000000000000000
χ422-2-2-2-2222-2-22222-2-2-2-222-2200002-200002-2-2200000000000000002-2-2-2-2222-2-22222-2-2-2-222-2200002-200002-2-220000000000000000
χ432-2-2-2-2222-2-222-2-22222-2-22-20000-2200002-2-2200000000000000002-2-2-2-2222-2-222-2-22222-2-22-20000-2200002-2-220000000000000000
χ442-2-2-2-2222-2-222-2-22222-2-2-2200002-20000-222-200000000000000002-2-2-2-2222-2-222-2-22222-2-2-2200002-20000-222-20000000000000000
χ4544-44-44-4-4000022−2222−2222−2222−220000000000000000000000000000000044-44-44-4-4000022−2222−2222−2222−2200000000000000000000000000000000
χ4644-44-44-4-40000−2222−2222−2222−22220000000000000000000000000000000044-44-44-4-40000−2222−2222−2222−222200000000000000000000000000000000
χ4744-4-44-4-4400002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000044-4-44-4-4400002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000
χ4844-4-44-4-440000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000044-4-44-4-440000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000
χ494-444-4-4-4400002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000004-444-4-4-4400002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000
χ504-444-4-4-440000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000004-444-4-4-440000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000
χ514-44-444-4-4000022−22−2222−222222−22000000000000000000000000000000004-44-444-4-4000022−22−2222−222222−2200000000000000000000000000000000
χ524-44-444-4-40000−222222−2222−22−2222000000000000000000000000000000004-44-444-4-40000−222222−2222−22−222200000000000000000000000000000000
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
χ5411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ551111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-11111
χ561111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111111111-1-1-1-1
χ5711111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-111-1-111
χ5811111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1111111-1-111-1-1
χ5911111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-11111-1-1
χ6011111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-111-1-1-1-111
χ61111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-11-11
χ62111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-11-11-1
χ63111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-1-11-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-111-11-1
χ64111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-11-111-11-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111111111-1-1-1-1-1-1-1-11-11-1-11-11
χ65111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-111-1-111-1
χ66111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1-11111-1-1-1-11-1-111-1-11
χ67111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-111-11-1-11
χ68111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-111-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-11-111-1
χ6922222222-2-2-2-2000000002222-2-2-2-2-2-22200000000000000000000-2-2-2-2-2-2-2-2222200000000-2-2-2-2222222-2-200000000000000000000
χ7022222222-2-2-2-20000000022-2-222-2-222-2-200000000000000000000-2-2-2-2-2-2-2-2222200000000-2-222-2-222-2-22200000000000000000000
χ7122222222-2-2-2-200000000-2-2222222-2-2-2-200000000000000000000-2-2-2-2-2-2-2-222220000000022-2-2-2-2-2-2222200000000000000000000
χ7222222222-2-2-2-200000000-2-2-2-2-2-222222200000000000000000000-2-2-2-2-2-2-2-2222200000000222222-2-2-2-2-2-200000000000000000000
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χ75222-2-2-22-22-22-2000000000000−2i2i0000−2i2i22-2-2−2i−2i2i2i000000000000-2-2-2222-22-22-220000000000002i−2i00002i−2i-2-2222i2i−2i−2i000000000000
χ76222-2-2-22-22-22-2000000000000−2i2i0000−2i2i-2-2222i2i−2i−2i000000000000-2-2-2222-22-22-220000000000002i−2i00002i−2i22-2-2−2i−2i2i2i000000000000
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χ80222-2-2-22-2-22-22−2i−2i−2i−2i2i2i2i2i0000−2i2i00002i−2i0000000022-2-200000000-2-2-2222-222-22-22i2i2i2i−2i−2i−2i−2i00002i−2i0000−2i2i00000000-2-22200000000
χ812-2-222-22-22-2-222i2i−2i−2i2i2i−2i−2i002i−2i00002i−2i0000002-22-2000000000000-222-2-22-22-222-2−2i−2i2i2i−2i−2i2i2i00−2i2i0000−2i2i000000-22-22000000000000
χ822-2-222-22-22-2-222i2i−2i−2i2i2i−2i−2i00−2i2i0000−2i2i000000-22-22000000000000-222-2-22-22-222-2−2i−2i2i2i−2i−2i2i2i002i−2i00002i−2i0000002-22-2000000000000
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χ842-2-222-22-22-2-22−2i−2i2i2i−2i−2i2i2i00−2i2i0000−2i2i0000002-22-2000000000000-222-2-22-22-222-22i2i−2i−2i2i2i−2i−2i002i−2i00002i−2i000000-22-22000000000000
χ852-2-222-22-2-222-200000000002i−2i0000−2i2i002-22-200002i−2i2i−2i00000000-222-2-22-222-2-220000000000−2i2i00002i−2i00-22-220000−2i2i−2i2i00000000
χ862-2-222-22-2-222-200000000002i−2i0000−2i2i00-22-220000−2i2i−2i2i00000000-222-2-22-222-2-220000000000−2i2i00002i−2i002-22-200002i−2i2i−2i00000000
χ872-2-222-22-2-222-20000000000−2i2i00002i−2i002-22-20000−2i2i−2i2i00000000-222-2-22-222-2-2200000000002i−2i0000−2i2i00-22-2200002i−2i2i−2i00000000
χ882-2-222-22-2-222-20000000000−2i2i00002i−2i00-22-2200002i−2i2i−2i00000000-222-2-22-222-2-2200000000002i−2i0000−2i2i002-22-20000−2i2i−2i2i00000000
χ892-2-2-2-222222-2-2000000002-200002-2000000002i−2i−2i2i2i−2i−2i2i00000000-22222-2-2-2-2-22200000000-220000-2200000000−2i2i2i−2i−2i2i2i−2i00000000
χ902-2-2-2-222222-2-2000000002-200002-200000000−2i2i2i−2i−2i2i2i−2i00000000-22222-2-2-2-2-22200000000-220000-22000000002i−2i−2i2i2i−2i−2i2i00000000
χ912-2-2-2-222222-2-200000000-220000-22000000002i−2i−2i2i−2i2i2i−2i00000000-22222-2-2-2-2-222000000002-200002-200000000−2i2i2i−2i2i−2i−2i2i00000000
χ922-2-2-2-222222-2-200000000-220000-2200000000−2i2i2i−2i2i−2i−2i2i00000000-22222-2-2-2-2-222000000002-200002-2000000002i−2i−2i2i−2i2i2i−2i00000000
χ932-2-2-2-2222-2-22222-2-2-2-2222-20000-220000-222-20000000000000000-22222-2-2-222-2-2-2-22222-2-2-2200002-200002-2-220000000000000000
χ942-2-2-2-2222-2-22222-2-2-2-222-2200002-200002-2-220000000000000000-22222-2-2-222-2-2-2-22222-2-22-20000-220000-222-20000000000000000
χ952-2-2-2-2222-2-222-2-22222-2-22-20000-2200002-2-220000000000000000-22222-2-2-222-2-222-2-2-2-222-2200002-20000-222-20000000000000000
χ962-2-2-2-2222-2-222-2-22222-2-2-2200002-20000-222-20000000000000000-22222-2-2-222-2-222-2-2-2-2222-20000-2200002-2-220000000000000000
χ9744-44-44-4-4000022−2222−2222−2222−2200000000000000000000000000000000-4-44-44-4440000−2222−2222−2222−222200000000000000000000000000000000
χ9844-44-44-4-40000−2222−2222−2222−222200000000000000000000000000000000-4-44-44-444000022−2222−2222−2222−2200000000000000000000000000000000
χ9944-4-44-4-4400002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000-4-444-444-40000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000
χ10044-4-44-4-440000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000-4-444-444-400002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000
χ1014-444-4-4-4400002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000-44-4-4444-40000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000
χ1024-444-4-4-440000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000-44-4-4444-400002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000
χ1034-44-444-4-4000022−22−2222−222222−2200000000000000000000000000000000-44-44-4-4440000−222222−2222−22−222200000000000000000000000000000000
χ1044-44-444-4-40000−222222−2222−22−222200000000000000000000000000000000-44-44-4-444000022−22−2222−222222−2200000000000000000000000000000000

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