Finite Group Databasebeta

← Group #11866293

Character table — Group #11866293

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212126688121224242424242424242424242424242424222244448888242424242424242424666666121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1111111-1-1
χ91111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-11-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11-111-1-11111-1-1-1-111-1-11-1
χ101111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-11-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111111-111-1-111-1-111-1-1-1-111-11
χ111111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-11-1-111-1-111-1-111-1-111-11
χ121111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-11-1-111-1-1-1-1111111-1-11-1
χ131111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11111-1111-1-1-1-111-1-11111-1-1-11
χ141111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1111-1-1-1-1-1-11111-1-1111-1
χ151111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111111-1-1-1111111-1-1-1-1-1-1111-1
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χ432222-2-2-12-222-222-1-1-121111-111-2-2-1-1-1-1-1-22211-2111100-1-1−333−300−3−3330033−3−300002-2-220000−3−33333−3−300000000-111-100000000
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χ9988-8-800-4-40000-444-444−4343−4343200002-2-20000023−23023−2300000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-400004-4-8-8840000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-400004-444-4443−43−434320000-22-200000−2323023−2300000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400004-444-44−434343−4320000-22-20000023−230−232300000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.