Finite Group Databasebeta

← Group #6630139

Character table — Group #6630139

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222224444444444444444444444441616161616161616111111112222222222224444444444444444444444441616161616161616
order12222222444444444444224444448888888888888888444444442222222244444444444422444444888888888888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-11-1-11-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-11-1-11-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-111-1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-111-11
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-111-1
χ91111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11-11-111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11-11-11
χ101111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-11-11-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-11-11-1
χ111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1111-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1111-1
χ121111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-11
χ131111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1111-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1111-1-1-1
χ141111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-1-1111
χ151111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-111
χ161111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1111-1-1
χ1722222222-2-22222-2-2-2-2-2-222-2-222-2-200000000000000000000000022222222-2-22222-2-2-2-2-2-222-2-222-2-2000000000000000000000000
χ1822222222-2-22222-2-2-2-2-2-2-2-222-2-22200000000000000000000000022222222-2-22222-2-2-2-2-2-2-2-222-2-222000000000000000000000000
χ1922222222-2-2-2-2-2-22222-2-222-2-2-2-22200000000000000000000000022222222-2-2-2-2-2-22222-2-222-2-2-2-222000000000000000000000000
χ2022222222-2-2-2-2-2-22222-2-2-2-22222-2-200000000000000000000000022222222-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000
χ212222-2-2-2-22-2000000002-22-22-20000000022-2-2000022-2-2000000002222-2-2-2-22-2000000002-22-22-20000000022-2-2000022-2-200000000
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χ232222-2-2-2-22-2000000002-2-22-220000000022-2-20000-2-222000000002222-2-2-2-22-2000000002-2-22-220000000022-2-20000-2-22200000000
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χ252222-2-2-2-2-2200000000-222-2-22000022-2-2000022-2-20000000000002222-2-2-2-2-2200000000-222-2-22000022-2-2000022-2-2000000000000
χ262222-2-2-2-2-2200000000-222-2-220000-2-2220000-2-2220000000000002222-2-2-2-2-2200000000-222-2-220000-2-2220000-2-222000000000000
χ272222-2-2-2-2-2200000000-22-222-2000022-2-20000-2-2220000000000002222-2-2-2-2-2200000000-22-222-2000022-2-20000-2-222000000000000
χ282222-2-2-2-2-2200000000-22-222-20000-2-222000022-2-20000000000002222-2-2-2-2-2200000000-22-222-20000-2-222000022-2-2000000000000
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χ302-2-222-22-22-22i2i−2i−2i2i2i−2i−2i-2200000000-22-22−2i2i−2i2i00000000000000002-2-222-22-22-22i2i−2i−2i2i2i−2i−2i-2200000000-22-22−2i2i−2i2i0000000000000000
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χ332-2-222-22-2-222i2i−2i−2i−2i−2i2i2i2-200000000000000002i−2i2i−2i2-22-2000000002-2-222-22-2-222i2i−2i−2i−2i−2i2i2i2-200000000000000002i−2i2i−2i2-22-200000000
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χ392-2-22-22-222200000000-2-20000-22-2200002i−2i−2i2i−2i2i2i−2i0000000000002-2-22-22-222200000000-2-20000-22-2200002i−2i−2i2i−2i2i2i−2i000000000000
χ402-2-22-22-222200000000-2-20000-22-220000−2i2i2i−2i2i−2i−2i2i0000000000002-2-22-22-222200000000-2-20000-22-220000−2i2i2i−2i2i−2i−2i2i000000000000
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χ422-2-22-22-22-2-2000000002200002-2-22-222-2000000002-2-22000000002-2-22-22-22-2-2000000002200002-2-22-222-2000000002-2-2200000000
χ432-2-22-22-22-2-200000000220000-222-22-2-22000000002-2-22000000002-2-22-22-22-2-200000000220000-222-22-2-22000000002-2-2200000000
χ442-2-22-22-22-2-200000000220000-222-2-222-200000000-222-2000000002-2-22-22-22-2-200000000220000-222-2-222-200000000-222-200000000
χ4544-4-444-4-4004-44-40000000000000000000000000000000000000044-4-444-4-4004-44-400000000000000000000000000000000000000
χ4644-4-444-4-400-44-440000000000000000000000000000000000000044-4-444-4-400-44-4400000000000000000000000000000000000000
χ4744-4-4-4-4440000004-44-4000000000000000000000000000000000044-4-4-4-4440000004-44-40000000000000000000000000000000000
χ4844-4-4-4-444000000-44-44000000000000000000000000000000000044-4-4-4-444000000-44-440000000000000000000000000000000000
χ494-44-44-4-44004i−4i−4i4i000000000000000000000000000000000000004-44-44-4-44004i−4i−4i4i00000000000000000000000000000000000000
χ504-44-44-4-4400−4i4i4i−4i000000000000000000000000000000000000004-44-44-4-4400−4i4i4i−4i00000000000000000000000000000000000000
χ514-44-4-444-40000004i−4i−4i4i00000000000000000000000000000000004-44-4-444-40000004i−4i−4i4i0000000000000000000000000000000000
χ524-44-4-444-4000000−4i4i4i−4i00000000000000000000000000000000004-44-4-444-4000000−4i4i4i−4i0000000000000000000000000000000000
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
χ551111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-111-111
χ561111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-11-1-1
χ5711111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11-111-11
χ5811111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-11-1-11-1
χ5911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-111-1
χ6011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-11-1-11
χ611111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11-11-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-11-11-1
χ621111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-11-11-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-11-11-11
χ631111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1111-1-1-11
χ641111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-1-1111-1
χ651111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1111
χ661111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1111-1-1-1
χ671111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1111-1-1
χ681111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-111
χ6922222222-2-22222-2-2-2-2-2-222-2-222-2-2000000000000000000000000-2-2-2-2-2-2-2-222-2-2-2-2222222-2-222-2-222000000000000000000000000
χ7022222222-2-22222-2-2-2-2-2-2-2-222-2-222000000000000000000000000-2-2-2-2-2-2-2-222-2-2-2-222222222-2-222-2-2000000000000000000000000
χ7122222222-2-2-2-2-2-22222-2-222-2-2-2-222000000000000000000000000-2-2-2-2-2-2-2-2222222-2-2-2-222-2-22222-2-2000000000000000000000000
χ7222222222-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-222000000000000000000000000
χ732222-2-2-2-22-2000000002-22-22-20000000022-2-2000022-2-200000000-2-2-2-22222-2200000000-22-22-2200000000-2-2220000-2-22200000000
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χ782222-2-2-2-2-2200000000-222-2-220000-2-2220000-2-222000000000000-2-2-2-222222-2000000002-2-222-2000022-2-2000022-2-2000000000000
χ792222-2-2-2-2-2200000000-22-222-2000022-2-20000-2-222000000000000-2-2-2-222222-2000000002-22-2-220000-2-222000022-2-2000000000000
χ802222-2-2-2-2-2200000000-22-222-20000-2-222000022-2-2000000000000-2-2-2-222222-2000000002-22-2-22000022-2-20000-2-222000000000000
χ812-2-222-22-22-22i2i−2i−2i2i2i−2i−2i-22000000002-22-22i−2i2i−2i0000000000000000-222-2-22-22-22−2i−2i2i2i−2i−2i2i2i2-200000000-22-22−2i2i−2i2i0000000000000000
χ822-2-222-22-22-22i2i−2i−2i2i2i−2i−2i-2200000000-22-22−2i2i−2i2i0000000000000000-222-2-22-22-22−2i−2i2i2i−2i−2i2i2i2-2000000002-22-22i−2i2i−2i0000000000000000
χ832-2-222-22-22-2−2i−2i2i2i−2i−2i2i2i-22000000002-22-2−2i2i−2i2i0000000000000000-222-2-22-22-222i2i−2i−2i2i2i−2i−2i2-200000000-22-222i−2i2i−2i0000000000000000
χ842-2-222-22-22-2−2i−2i2i2i−2i−2i2i2i-2200000000-22-222i−2i2i−2i0000000000000000-222-2-22-22-222i2i−2i−2i2i2i−2i−2i2-2000000002-22-2−2i2i−2i2i0000000000000000
χ852-2-222-22-2-222i2i−2i−2i−2i−2i2i2i2-200000000000000002i−2i2i−2i2-22-200000000-222-2-22-222-2−2i−2i2i2i2i2i−2i−2i-220000000000000000−2i2i−2i2i-22-2200000000
χ862-2-222-22-2-222i2i−2i−2i−2i−2i2i2i2-20000000000000000−2i2i−2i2i-22-2200000000-222-2-22-222-2−2i−2i2i2i2i2i−2i−2i-2200000000000000002i−2i2i−2i2-22-200000000
χ872-2-222-22-2-22−2i−2i2i2i2i2i−2i−2i2-200000000000000002i−2i2i−2i-22-2200000000-222-2-22-222-22i2i−2i−2i−2i−2i2i2i-220000000000000000−2i2i−2i2i2-22-200000000
χ882-2-222-22-2-22−2i−2i2i2i2i2i−2i−2i2-20000000000000000−2i2i−2i2i2-22-200000000-222-2-22-222-22i2i−2i−2i−2i−2i2i2i-2200000000000000002i−2i2i−2i-22-2200000000
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χ902-2-22-22-222200000000-2-200002-22-20000−2i2i2i−2i−2i2i2i−2i000000000000-222-22-22-2-2-200000000220000-22-2200002i−2i−2i2i2i−2i−2i2i000000000000
χ912-2-22-22-222200000000-2-20000-22-2200002i−2i−2i2i−2i2i2i−2i000000000000-222-22-22-2-2-2000000002200002-22-20000−2i2i2i−2i2i−2i−2i2i000000000000
χ922-2-22-22-222200000000-2-20000-22-220000−2i2i2i−2i2i−2i−2i2i000000000000-222-22-22-2-2-2000000002200002-22-200002i−2i−2i2i−2i2i2i−2i000000000000
χ932-2-22-22-22-2-2000000002200002-2-222-2-2200000000-222-200000000-222-22-22-22200000000-2-20000-222-2-222-2000000002-2-2200000000
χ942-2-22-22-22-2-2000000002200002-2-22-222-2000000002-2-2200000000-222-22-22-22200000000-2-20000-222-22-2-2200000000-222-200000000
χ952-2-22-22-22-2-200000000220000-222-22-2-22000000002-2-2200000000-222-22-22-22200000000-2-200002-2-22-222-200000000-222-200000000
χ962-2-22-22-22-2-200000000220000-222-2-222-200000000-222-200000000-222-22-22-22200000000-2-200002-2-222-2-22000000002-2-2200000000
χ9744-4-444-4-4004-44-400000000000000000000000000000000000000-4-444-4-44400-44-4400000000000000000000000000000000000000
χ9844-4-444-4-400-44-4400000000000000000000000000000000000000-4-444-4-444004-44-400000000000000000000000000000000000000
χ9944-4-4-4-4440000004-44-40000000000000000000000000000000000-4-44444-4-4000000-44-440000000000000000000000000000000000
χ10044-4-4-4-444000000-44-440000000000000000000000000000000000-4-44444-4-40000004-44-40000000000000000000000000000000000
χ1014-44-44-4-44004i−4i−4i4i00000000000000000000000000000000000000-44-44-444-400−4i4i4i−4i00000000000000000000000000000000000000
χ1024-44-44-4-4400−4i4i4i−4i00000000000000000000000000000000000000-44-44-444-4004i−4i−4i4i00000000000000000000000000000000000000
χ1034-44-4-444-40000004i−4i−4i4i0000000000000000000000000000000000-44-444-4-44000000−4i4i4i−4i0000000000000000000000000000000000
χ1044-44-4-444-4000000−4i4i4i−4i0000000000000000000000000000000000-44-444-4-440000004i−4i−4i4i0000000000000000000000000000000000

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