Finite Group Databasebeta

← Group #72271449

Character table — Group #72271449

Order 6144.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122444466668888812121212121212121212121224242424242424242424242424242424242424242424242424242424242424242432323232646464646464969696969696969696969696128128128128128128128128128128128128192192192192192192192192192192
order12222222442222224442222224444442222444444444444444444444444444443666666666224444444444666612121212121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111-1-1-1-1111111111111111-1-11111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1
χ411111111111111-1-1-1-1111111111111111-1-11111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111
χ5111111-1-11111111-11-1-1-1-11111111111-1-11-111-1-11-111-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-111-111-1-11-1
χ6111111-1-11111111-11-1-1-1-11111111111-1-11-111-1-11-111-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-11-1-11-1-111-11
χ7111111-1-1111111-11-11-1-1-11111111111-1-1-1111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-11-1111-1-1-11
χ8111111-1-1111111-11-11-1-1-11111111111-1-1-1111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-11-1-1-1111-1
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χ1022222222222222-2-2-2-2222222222222222-2-22222-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000000000001111-1-1-1-111110000000000
χ1122222222-2-222220000-222-2-2-2-22222-2-2-2-200-2-2-2-200222222-2000000000000000022222222220000000000000000-2-2-2-200000000000000
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χ15222222-2-2222222-22-22-2-2-22222222222-2-2-2222-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1111100000000000011-1-1-1-11111-1-10000000000
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χ212222-2-2002-22-22-2020-200022-2-222-2-22-200022-2000-22-200000000000002222-2-2-2-2-1-1-1-111i3i3−i3−i3000000000000i3−i3-1-1-11i3−i3−i3i3110000000000
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χ252222-2-200-222-22-220-20000-2-22222-2-2-220020-2200-202-2000002222-2-2-2-2000000002222-2-200000000000000002200-2200-2-2000000000000
χ262222-2-200-222-22-220-20000-2-22222-2-2-220020-2200-202-2000002222-2-2-2-200000000-1-1-1-111−i3−i3i3i3000000000000-1-1−i3i31-1i3−i311i3−i30000000000
χ272222-2-200-222-22-220-20000-2-22222-2-2-220020-2200-202-2000002222-2-2-2-200000000-1-1-1-111i3i3−i3−i3000000000000-1-1i3−i31-1−i3i311−i3i30000000000
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χ302222-2-200-222-22-2-2020000-2-22222-2-2-2200-20-2200202-200000-2-2-2-2222200000000-1-1-1-111i3i3−i3−i300000000000011−i3i31-1−i3i3-1-1i3−i30000000000
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χ32333333333333333333333-1-1-1-1-1-1-1-133-1-133-1-1-1-133-1-1-1-1-1-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-1-1-1-111111111000000000000-1-1-1-11111-1-1
χ3333333333333333-3-3-3-3333-1-1-1-1-1-1-1-133-1-1-3-3-1-1-1-1-3-3-1-1-1-1-1-131111111111111111000000000011111111111100000000000011-1-1-1-1-1-1-1-1
χ3433333333333333-3-3-3-3333-1-1-1-1-1-1-1-133-1-1-3-3-1-1-1-1-3-3-1-1-1-1-1-1311111111111111110000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-111111111
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χ383333333333-1-1-1-133333-1-1-13-13-13-13-1-1-1-1-1-1-1-1-13-1-1-1-1-13-1-1-1-13-1-1-13-1-1-13-1-1-13-1-10000000000-1-11111-1-111-1-1000000000000-11-1-11-11-111
χ393333333333-1-1-1-1-3-3-3-33-1-13-13-13-13-1-1-1-1-111-1-13-111-1-13-1-1-1-1-3111-3111-3111-3111000000000011-1-1-1-111-1-1110000000000001-1-1-11-11-111
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χ45333333-3-3333333-33-33-3-3-3-1-1-1-1-1-1-1-13311-33-1-111-33-1-11111-311111111-1-1-1-1-1-1-1-1000000000011-1-11111-1-1-1-1000000000000-11-11-1-111-11
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χ47333333-3-333-1-1-1-13-33-3-3113-13-13-13-1-1-111-11-1-1-31-11-1-1-311113-1-1-13-1-1-1-3111-31110000000000111111-1-1-1-111000000000000-1-11-11-1-11-11
χ48333333-3-333-1-1-1-13-33-3-3113-13-13-13-1-1-111-11-1-1-31-11-1-1-311113-1-1-13-1-1-1-3111-31110000000000-1-1-1-1-1-11111-1-100000000000011-11-111-11-1
χ49333333-3-333-1-1-1-13-33-3-311-13-13-13-13-1-111-11-1-11-3-11-1-11-3111-13-1-1-13-1-11-3111-31100000000001111-1-11111-1-1000000000000-1-11-1-111-1-11
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Here i is the imaginary unit (i² = −1).