Finite Group Databasebeta

← Group #6629068

Character table — Group #6629068

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111111122224444444444444444444444444444888888881616161611111111222244444444444444444444444444448888888816161616
order12222222444422222244444444444444444444448888888844442222222244442222224444444444444444444444888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ51111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ61111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1
χ9111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ10111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11
χ12111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1
χ13111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11
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χ1922222222-2-2-2-20000-2-222000022-2-20000-2-222000000000000000022222222-2-2-2-20000-2-222000022-2-20000-2-2220000000000000000
χ2022222222-2-2-2-20000-2-2220000-2-222000022-2-2000000000000000022222222-2-2-2-20000-2-2220000-2-222000022-2-20000000000000000
χ21222-2-22-2-222-2-222-2-22-22-222-2-20000000000000000000000000000222-2-22-2-222-2-222-2-22-22-222-2-20000000000000000000000000000
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χ312-2-2222-2-22-22-200000000-22-2200002i−2i2i−2i−2i2i−2i2i00000000000000002-2-2222-2-22-22-200000000-22-2200002i−2i2i−2i−2i2i−2i2i0000000000000000
χ322-2-2222-2-22-22-200000000-22-220000−2i2i−2i2i2i−2i2i−2i00000000000000002-2-2222-2-22-22-200000000-22-220000−2i2i−2i2i2i−2i2i−2i0000000000000000
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χ342-2-2222-2-2-22-222-22-20000000000000000−2i2i2i−2i−2i2i−2i2i0000000000002-2-2222-2-2-22-222-22-20000000000000000−2i2i2i−2i−2i2i−2i2i000000000000
χ352-2-2222-2-2-22-22-22-2200000000000000002i−2i−2i2i−2i2i−2i2i0000000000002-2-2222-2-2-22-22-22-2200000000000000002i−2i−2i2i−2i2i−2i2i000000000000
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χ372-2-2-2-22222-2-22000000002-2-222-22-2000000002-2-220000000000002-2-2-2-22222-2-22000000002-2-222-22-2000000002-2-22000000000000
χ382-2-2-2-22222-2-22000000002-2-22-22-2200000000-222-20000000000002-2-2-2-22222-2-22000000002-2-22-22-2200000000-222-2000000000000
χ392-2-2-2-22222-2-2200000000-222-22-22-200000000-222-20000000000002-2-2-2-22222-2-2200000000-222-22-22-200000000-222-2000000000000
χ402-2-2-2-22222-2-2200000000-222-2-22-22000000002-2-220000000000002-2-2-2-22222-2-2200000000-222-2-22-22000000002-2-22000000000000
χ412-2-2-2-2222-222-22-2-22000000002-2-222-2-22000000000000000000002-2-2-2-2222-222-22-2-22000000002-2-222-2-2200000000000000000000
χ422-2-2-2-2222-222-22-2-2200000000-222-2-222-2000000000000000000002-2-2-2-2222-222-22-2-2200000000-222-2-222-200000000000000000000
χ432-2-2-2-2222-222-2-222-2000000002-2-22-222-2000000000000000000002-2-2-2-2222-222-2-222-2000000002-2-22-222-200000000000000000000
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χ4744-4-44-4-440000000000000000000000000000000000002i2−2i200000044-4-44-4-440000000000000000000000000000000000002i2−2i2000000
χ4844-4-44-4-44000000000000000000000000000000000000−2i22i200000044-4-44-4-44000000000000000000000000000000000000−2i22i2000000
χ494-444-4-4-44000000000000000000000000000000002i2−2i200000000004-444-4-4-44000000000000000000000000000000002i2−2i20000000000
χ504-444-4-4-4400000000000000000000000000000000−2i22i200000000004-444-4-4-4400000000000000000000000000000000−2i22i20000000000
χ514-44-44-44-400000000000000000000000000000000002i2−2i2000000004-44-44-44-400000000000000000000000000000000002i2−2i200000000
χ524-44-44-44-40000000000000000000000000000000000−2i22i2000000004-44-44-44-40000000000000000000000000000000000−2i22i200000000
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
χ541111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ55111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-11-11
χ56111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11-11-1
χ571111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111
χ581111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1
χ591111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1
χ601111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-11
χ61111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ62111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ63111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1
χ64111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11
χ65111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1
χ66111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111
χ67111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-11
χ68111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1
χ6922222222-2-2-2-2000022-2-2000022-2-2000022-2-20000000000000000-2-2-2-2-2-2-2-222220000-2-2220000-2-2220000-2-2220000000000000000
χ7022222222-2-2-2-2000022-2-20000-2-2220000-2-2220000000000000000-2-2-2-2-2-2-2-222220000-2-222000022-2-2000022-2-20000000000000000
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χ7222222222-2-2-2-20000-2-2220000-2-222000022-2-20000000000000000-2-2-2-2-2-2-2-22222000022-2-2000022-2-20000-2-2220000000000000000
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χ9744-44-4-44-4000000000000000000000000000000000000002i2−2i20000-4-44-444-4400000000000000000000000000000000000000−2i22i20000
χ9844-44-4-44-400000000000000000000000000000000000000−2i22i20000-4-44-444-44000000000000000000000000000000000000002i2−2i20000
χ9944-4-44-4-440000000000000000000000000000000000002i2−2i2000000-4-444-444-4000000000000000000000000000000000000−2i22i2000000
χ10044-4-44-4-44000000000000000000000000000000000000−2i22i2000000-4-444-444-40000000000000000000000000000000000002i2−2i2000000
χ1014-444-4-4-44000000000000000000000000000000002i2−2i20000000000-44-4-4444-400000000000000000000000000000000−2i22i20000000000
χ1024-444-4-4-4400000000000000000000000000000000−2i22i20000000000-44-4-4444-4000000000000000000000000000000002i2−2i20000000000
χ1034-44-44-44-400000000000000000000000000000000002i2−2i200000000-44-44-44-440000000000000000000000000000000000−2i22i200000000
χ1044-44-44-44-40000000000000000000000000000000000−2i22i200000000-44-44-44-4400000000000000000000000000000000002i2−2i200000000

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