Finite Group Databasebeta

← Group #11790176

Character table — Group #11790176

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order1222222233444466666666666666366666668888121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444444441212121212121212121212121212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911-1-111-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1i−ii−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i
χ1011-1-111-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ1111-1-111-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11i−ii−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii
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χ1311-1-111-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-11i−i−iiii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii
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χ1511-1-111-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1i−i−iiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i
χ1611-1-111-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1−iii−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii
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χ20222222222-1222222-122-1-1-1-12-122-1-1-1-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000001111111100000000
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χ2522222222-122222-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111000022-2-2-1-1-1-111110000000000000000
χ2622222222-122222-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-2-2221111-1-1-1-10000000000000000
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χ3322-2-222-2-2-122-22-2-1-1211-2-2-2-2-12112-1-1-11111-122-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100002i−2i2i−2i−i−iii−i−iii0000000000000000
χ3422-2-222-2-2-122-22-2-1-1211-2-2-2-2-12112-1-1-11111-122-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000−2i2i−2i2iii−i−iii−i−i0000000000000000
χ3522-2-222-2-2-122-22-2-1-1211-2-2-2-2-12112-1-1-11111-1-2-222-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100002i−2i−2i2i−i−iiiii−i−i0000000000000000
χ3622-2-222-2-2-122-22-2-1-1211-2-2-2-2-12112-1-1-11111-1-2-222-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000−2i2i2i−2iii−i−i−i−iii0000000000000000
χ372-2222-2-2-2222-2-22-2-2-22222-2-222-2-2-22-2-222-2-220000222-22-22222-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002-22-2
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χ402-2222-2-2-222-222-2-2-2-22222-2-222-2-2-22-2-222-2-22-22-22-2-2-22-22-2-2-2-2222222-2-222-2-222-2-2-2-22222-2-222-2-222-2-2-2-2222200000000000000000000000000000000
χ412-2222-2-2-22-1-222-2-2-2122-1-1112-1-2-21-111-1-111-12-22-2-21-221-11111-1-12-1-1-122-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-1111100000000000000003−33−33−33−300000000
χ422-2222-2-2-22-1-222-2-2-2122-1-1112-1-2-21-111-1-111-12-22-2-21-221-11111-1-12-1-1-122-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-111110000000000000000−33−33−33−3300000000
χ432-2222-2-2-22-1-222-2-2-2122-1-1112-1-2-21-111-1-111-1-22-22-21-221-11111-1-12-1-1-1-2-22211-1-11111-1-1-1-1-2-22211-1-11111-1-1-1-100000000000000003−33−3−33−3300000000
χ442-2222-2-2-22-1-222-2-2-2122-1-1112-1-2-21-111-1-111-1-22-22-21-221-11111-1-12-1-1-1-2-22211-1-11111-1-1-1-1-2-22211-1-11111-1-1-1-10000000000000000−33−333−33−300000000
χ452-2222-2-2-2-12-222-211-2-1-122-2-2-1211-2-111-1-111-12-22-21-21-1-221111-1-1-12-1-1-1-11122-2-2-1-1-1-11111-1-11122-2-2-1-1-1-11111000000003−33−33−33−30000000000000000
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χ472-2222-2-2-2-12-222-211-2-1-122-2-2-1211-2-111-1-111-1-22-221-21-1-221111-1-1-12-1-111-1-1-2-2221111-1-1-1-111-1-1-2-2221111-1-1-1-1000000003−33−3−33−330000000000000000
χ482-2222-2-2-2-12-222-211-2-1-122-2-2-1211-2-111-1-111-1-22-221-21-1-221111-1-1-12-1-111-1-1-2-2221111-1-1-1-111-1-1-2-2221111-1-1-1-100000000−33−333−33−30000000000000000
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χ542-2-2-22-2222-1-2-222-2-21-2-211-1-12-1221-11111-1-1-12-2-22-212-2-1111-1-1112-1-1-122-2-2-1-111-1-1-1-11111-2-22211-1-11111-1-1-1-10000000000000000−333−3−333−300000000
χ552-2-2-22-2222-1-2-222-2-21-2-211-1-12-1221-11111-1-1-1-222-2-212-2-1111-1-1112-1-1-1-2-22211-1-11111-1-1-1-122-2-2-1-111-1-1-1-1111100000000000000003−3−33−333−300000000
χ562-2-2-22-2222-1-2-222-2-21-2-211-1-12-1221-11111-1-1-1-222-2-212-2-1111-1-1112-1-1-1-2-22211-1-11111-1-1-1-122-2-2-1-111-1-1-1-111110000000000000000−333−33−3−3300000000
χ572-2-2-22-222-12-2-22211-211-2-222-12-1-1-2-11111-1-1-12-2-221-2-112-211-1-111-12-1-1-1-11122-2-2-1-1-1-1111111-1-1-2-2221111-1-1-1-100000000−i3i3i3−i3−i3i3i3−i30000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.