Finite Group Databasebeta

← Group #10732498

Character table — Group #10732498

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111111122222222222222222222222244444444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order1222222222222222344444444666666666666666444444441212121212121212121212121212121212121212121212124444444412121212121212121212121212121212444444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ1011111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ1111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ1211111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ1311111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1411111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ1511111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1611111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ172222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ182222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ192222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-11111111122-2-2-2-222-1-1-1-1-1-1-1-111111111000000000000000000000000
χ202222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-22222-2-211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ212222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ222222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-222221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ232222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-122-2-222-2-2-1-1-1-111111111-1-1-1-1000000000000000000000000
χ242222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-1-1-1-1-11111000000000000000000000000
χ252222222-2-2-2-2-2-2-22-2200000000222222-2-2-2-22-2-2-2-222-2-200002222-2-2-2-2000000000000000000000000000000000000000022-2-222-2-20000000000000000
χ262222222-2-2-2-2-2-2-22-2200000000222222-2-2-2-22-2-2-2-222-2-200002222-2-2-2-20000000000000000000000000000000000000000-2-222-2-2220000000000000000
χ272222222-2-2-2-2-2-2-22-2200000000222222-2-2-2-22-2-2-2-2-2-2220000-2-2-2-22222000000000000000000000000000000000000000022-2-2-2-2220000000000000000
χ282222222-2-2-2-2-2-2-22-2200000000222222-2-2-2-22-2-2-2-2-2-2220000-2-2-2-222220000000000000000000000000000000000000000-2-22222-2-20000000000000000
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χ332222-2-2-2-22-222-2-2-22-12i2i2i2i−2i−2i−2i−2i-1-1-1111-1-1111-11-110000000033−3−333−3−3−i−i−i−iiiii−i3−i3−i3−i3i3i3i3i3002-22i−2i0033−3−3−i3−i3i3i3-1-111−i−iii000000000000000000000000
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χ362222-2-2-2-22-222-2-2-22-12i2i2i2i−2i−2i−2i−2i-1-1-1111-1-1111-11-1100000000−3−333−3−333−i−i−i−iiiiii3i3i3i3−i3−i3−i3−i300-22−2i2i0033−3−3−i3−i3i3i311-1-1ii−i−i000000000000000000000000
χ372222-2-2-2-22-222-2-2-22-1−2i−2i−2i−2i2i2i2i2i-1-1-1111-1-1111-11-110000000033−3−333−3−3iiii−i−i−i−ii3i3i3i3−i3−i3−i3−i3002-2−2i2i0033−3−3i3i3−i3−i3-1-111ii−i−i000000000000000000000000
χ382222-2-2-2-22-222-2-2-22-1−2i−2i−2i−2i2i2i2i2i-1-1-1111-1-1111-11-110000000033−3−333−3−3iiii−i−i−i−ii3i3i3i3−i3−i3−i3−i300-222i−2i00−3−333−i3−i3i3i311-1-1−i−iii000000000000000000000000
χ392222-2-2-2-22-222-2-2-22-1−2i−2i−2i−2i2i2i2i2i-1-1-1111-1-1111-11-1100000000−3−333−3−333iiii−i−i−i−i−i3−i3−i3−i3i3i3i3i3002-2−2i2i00−3−333−i3−i3i3i3-1-111ii−i−i000000000000000000000000
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χ4122-2-222-2-22-2-2-222-2222i2i−2i−2i2i2i−2i−2i2-2-222-2-2-222-22-22-200000000000000002i2i−2i−2i2i2i−2i−2i000000002i−2i00002-22i−2i2i−2i2-22-200000000000000000000000000000000
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χ4622-2-222-2-22-2-2-222-22-12i2i−2i−2i2i2i−2i−2i-111-1-1111-1-11-11-11000000003−33−33−33−3−i−iii−i−iii−i3−i3i3i3−i3−i3i3i3−2i2i0000-22i−ii−i1-11-1i3−i3i3−i3−33−33000000000000000000000000
χ4722-2-222-2-22-2-2-222-22-12i2i−2i−2i2i2i−2i−2i-111-1-1111-1-11-11-1100000000−33−33−33−33−i−iii−i−iiii3i3−i3−i3i3i3−i3−i32i−2i00002-2−ii−ii-11-11i3−i3i3−i3−33−33000000000000000000000000
χ4822-2-222-2-22-2-2-222-22-12i2i−2i−2i2i2i−2i−2i-111-1-1111-1-11-11-1100000000−33−33−33−33−i−iii−i−iiii3i3−i3−i3i3i3−i3−i3−2i2i0000-22i−ii−i1-11-1−i3i3−i3i33−33−3000000000000000000000000
χ4922-2-222-2-22-2-2-222-22-1−2i−2i2i2i−2i−2i2i2i-111-1-1111-1-11-11-11000000003−33−33−33−3ii−i−iii−i−ii3i3−i3−i3i3i3−i3−i32i−2i0000-22−ii−ii1-11-1−i3i3−i3i3−33−33000000000000000000000000
χ5022-2-222-2-22-2-2-222-22-1−2i−2i2i2i−2i−2i2i2i-111-1-1111-1-11-11-11000000003−33−33−33−3ii−i−iii−i−ii3i3−i3−i3i3i3−i3−i3−2i2i00002-2i−ii−i-11-11i3−i3i3−i33−33−3000000000000000000000000
χ5122-2-222-2-22-2-2-222-22-1−2i−2i2i2i−2i−2i2i2i-111-1-1111-1-11-11-1100000000−33−33−33−33ii−i−iii−i−i−i3−i3i3i3−i3−i3i3i32i−2i0000-22−ii−ii1-11-1i3−i3i3−i33−33−3000000000000000000000000
χ5222-2-222-2-22-2-2-222-22-1−2i−2i2i2i−2i−2i2i2i-111-1-1111-1-11-11-1100000000−33−33−33−33ii−i−iii−i−i−i3−i3i3i3−i3−i3i3i3−2i2i00002-2i−ii−i-11-11−i3i3−i3i3−33−33000000000000000000000000
χ5322-2-2-2-22222-2-2-2-222222-2-2-2-2222-2-2-2-22-2-2-2-2222222-22-222-2-22-2-222-2-2222-2-2-2-22222-2-2-2-222000000000000000000000000000000000000000000000000
χ5422-2-2-2-22222-2-2-2-222222-2-2-2-2222-2-2-2-22-2-2-2-222222-22-22-2-222-222-2-222-222-2-2-2-222-2-22222-2-2000000000000000000000000000000000000000000000000
χ5522-2-2-2-22222-2-2-2-2222-2-22222-2-22-2-2-2-22-2-2-2-2222222-22-2-2-2222-2-222-2-22-2-22222-2-2-2-22222-2-2000000000000000000000000000000000000000000000000
χ5622-2-2-2-22222-2-2-2-2222-2-22222-2-22-2-2-2-22-2-2-2-222222-22-2222-2-2-222-2-222-2-2-22222-2-222-2-2-2-222000000000000000000000000000000000000000000000000
χ5722-2-2-2-22222-2-2-2-222-122-2-2-2-222-11111-11111-1-1-1-1-12-22-222-2-2-111-1-111-1-1-11111-1-1-1-11111-1-100000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000
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χ5922-2-2-2-22222-2-2-2-222-122-2-2-2-222-11111-11111-1-1-1-1-1-22-22-2-2221-1-111-1-11-1-11111-1-111-1-1-1-11100000000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000
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χ6122-2-2-2-22222-2-2-2-222-1-2-22222-2-2-11111-11111-1-1-1-1-12-22-2-2-222-111-1-111-111-1-1-1-11111-1-1-1-11100000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3000000000000000000000000
χ6222-2-2-2-22222-2-2-2-222-1-2-22222-2-2-11111-11111-1-1-1-1-12-22-2-2-222-111-1-111-111-1-1-1-11111-1-1-1-11100000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ6322-2-2-2-22222-2-2-2-222-1-2-22222-2-2-11111-11111-1-1-1-1-1-22-2222-2-21-1-111-1-1111-1-1-1-111-1-11111-1-100000000−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ6422-2-2-2-22222-2-2-2-222-1-2-22222-2-2-11111-11111-1-1-1-1-1-22-2222-2-21-1-111-1-1111-1-1-1-111-1-11111-1-100000000i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3000000000000000000000000
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χ742-22-22-22-222-22-22-2-222-22-22-22-2-22-22-2-2-22-222-2-22200000000000000002-22-22-22-2000000000000000000000000000000000000−2i2i2i−2i0000−2i2i−2i2i00000000
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χ772-22-2-22-222-2-222-22-222i−2i2i−2i−2i2i−2i2i-22-2-222-222-2-2-222-200000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000002-22i−2i0000
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χ792-22-2-22-222-2-222-22-22−2i2i−2i2i2i−2i2i−2i-22-2-222-222-2-2-222-20000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000002-2−2i2i0000
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χ812-2-222-2-222-22-2-222-222i−2i−2i2i2i−2i−2i2i-2-222-222-2-22-2-222-200000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000000000000000000000002-22i−2i
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χ842-2-222-2-222-22-2-222-22−2i2i2i−2i−2i2i2i−2i-2-222-222-2-22-2-222-20000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000-222i−2i
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χ872-2-22-2222-2-2-22-22-22200000000-2-22-22-2-22-22222-2-20000−2i2i2i−2i0000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000002i−2i2i−2i00000000-222-200000000
χ882-2-22-2222-2-2-22-22-22200000000-2-22-22-2-22-22222-2-20000−2i2i2i−2i0000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000−2i2i−2i2i000000002-2-2200000000
χ892-2-22-222-2222-22-2-2-222-2-22-222-2-2-22-22-22-22-22-2-22200000000000000002-2-22-222-2000000000000000000000000000000002i−2i−2i2i00002i−2i−2i2i000000000000
χ902-2-22-222-2222-22-2-2-222-2-22-222-2-2-22-22-22-22-22-2-22200000000000000002-2-22-222-200000000000000000000000000000000−2i2i2i−2i0000−2i2i2i−2i000000000000
χ912-2-22-222-2222-22-2-2-22-222-22-2-22-2-22-22-22-22-22-2-2220000000000000000-222-22-2-22000000000000000000000000000000002i−2i−2i2i0000−2i2i2i−2i000000000000
χ922-2-22-222-2222-22-2-2-22-222-22-2-22-2-22-22-22-22-22-2-2220000000000000000-222-22-2-2200000000000000000000000000000000−2i2i2i−2i00002i−2i−2i2i000000000000
χ934444444-4-4-4-4-4-4-44-4-200000000-2-2-2-2-2-22222-2222244-4-40000-2-2-2-222220000000000000000000000000000000000000000000000000000000000000000
χ944444444-4-4-4-4-4-4-44-4-200000000-2-2-2-2-2-22222-22222-4-44400002222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
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χ1034-44-44-444-4-44-44-4-44-2000000002-22-222-22-22-2-2-22200004i−4i4i−4i0000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ1044-44-44-444-4-44-44-4-44-2000000002-22-222-22-22-2-2-2220000−4i4i−4i4i00000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ1054-44-44-44-444-44-44-4-4-24-44-44-44-42-22-2222-22-2-222-2-20000000000000000-22-22-22-2200000000000000000000000000000000000000000000000000000000
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χ1084-44-4-44-444-4-444-44-4-2−4i4i−4i4i4i−4i4i−4i2-222-2-22-2-2222-2-2200000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000
χ1094-44-4-44-4-4-444-4-4444400000000-44-4-4444-4-44-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1104-44-4-44-4-4-444-4-4444-2000000002-222-2-2-222-22-222-200000000000000000000000023−2323−23−2323−2323000000000000000000000000000000000000000000000000
χ1114-44-4-44-4-4-444-4-4444-2000000002-222-2-2-222-22-222-2000000000000000000000000−2323−232323−2323−23000000000000000000000000000000000000000000000000
χ1124-4-444-4-444-44-4-444-4-24i−4i−4i4i4i−4i−4i4i22-2-22-2-222-222-2-220000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000000000000000000000000000
χ1134-4-444-4-444-44-4-444-4-2−4i4i4i−4i−4i4i4i−4i22-2-22-2-222-222-2-2200000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000000000000000000000000000
χ1144-4-444-4-4-4-44-444-444400000000-4-444-44-444-4-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-444-4-4-4-44-444-444-20000000022-2-22-22-2-222-222-200000000000000000000000023−23−232323−23−2323000000000000000000000000000000000000000000000000
χ1164-4-444-4-4-4-44-444-444-20000000022-2-22-22-2-222-222-2000000000000000000000000−232323−23−232323−23000000000000000000000000000000000000000000000000
χ1174-4-44-4444-4-4-44-44-44-20000000022-22-222-22-2-2-2-22200004i−4i−4i4i0000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ1184-4-44-4444-4-4-44-44-44-20000000022-22-222-22-2-2-2-2220000−4i4i4i−4i00000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ1194-4-44-444-4444-44-4-4-4-24-4-44-444-422-22-22-22-22-222-2-20000000000000000-222-22-2-2200000000000000000000000000000000000000000000000000000000
χ1204-4-44-444-4444-44-4-4-4-2-444-44-4-4422-22-22-22-22-222-2-200000000000000002-2-22-222-200000000000000000000000000000000000000000000000000000000

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