Finite Group Databasebeta

← Group #13170682

Character table — Group #13170682

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1122222222244444444444466668888812121212121212121212121212121212121212242424363636363636367210811222222222444444444444666688888121212121212121212121212121212121212122424243636363636363672108
order123334666121233366612121212121224663612121246668121212121212242424242424242412121244812122424122226664666121266666612121212121224666612121246668121212121212242424242424242412121244812122424122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111111111111111111111111111111111-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1
χ311111111111111111111111111111111-1111111-1-11111111111-1-1-1-1-11-1-111-1-111111111111111111111111111111111-1111111-1-11111111111-1-1-1-1-11-1-111-1-1
χ411111111111111111111111111111111-1111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111111111111111111111111111111111-1111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111
χ511111111111111111111111-1-1-1-1111111-1-1-11-1-111-1-111111111111-11-1-1-1-1-11-111111111111111111111111-1-1-1-1111111-1-1-11-1-111-1-111111111111-11-1-1-1-1-11-1
χ611111111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1111111111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-11
χ711111111111111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-111111111-1-1-11-1-111-1-1-1111111111111111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-111111111-1-1-11-1-111-1-1-11
χ811111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1
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χ20222-122-122-1-1-12-1-1-122-1-12-1-12222-1-12-1-10-1-1-1-2-1200-1-111-2-2111100000-2001100222-122-122-1-1-12-1-1-122-1-12-1-12222-1-12-1-10-1-1-1-2-1200-1-111-2-2111100000-2001100
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χ22222-122-122-1-1-12-1-1-122-1-12-1-1-2-2-2-2-1-12-1-10111-21-2001111-2-2111100000200-1-100222-122-122-1-1-12-1-1-122-1-12-1-1-2-2-2-2-1-12-1-10111-21-2001111-2-2111100000200-1-100
χ23222-12-2-12211-12-1-1-12-211-2112-222-1-1-2110-1-1-101-200113−30033−3−3000000003−300222-12-2-12211-12-1-1-12-211-2112-222-1-1-2110-1-1-101-200113−30033−3−3000000003−300
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χ25222-12-2-12211-12-1-1-12-211-211-22-2-2-1-1-21101110-1200-1-13−30033−3−300000000−3300222-12-2-12211-12-1-1-12-211-211-22-2-2-1-1-21101110-1200-1-13−30033−3−300000000−3300
χ26222-12-2-12211-12-1-1-12-211-211-22-2-2-1-1-21101110-1200-1-1−3300−3−333000000003−300222-12-2-12211-12-1-1-12-211-211-22-2-2-1-1-21101110-1200-1-1−3300−3−333000000003−300
χ2722-12222-1222-1-12-12-1222-1-1-10000-1-1-1-1-12000200220022-1-1-1-1-1-1-1-1-10200000-1022-12222-1222-1-12-12-1222-1-1-10000-1-1-1-1-12000200220022-1-1-1-1-1-1-1-1-10200000-10
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χ3022-12222-1222-1-12-12-1222-1-1-10000-1-1-1-1-1-2000-200-2-200-2-21111111110200000-1022-12222-1222-1-12-12-1222-1-1-10000-1-1-1-1-1-2000-200-2-200-2-21111111110200000-10
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χ3744-24-244-2-244-21-2-2-21-2-2-2-2-2-2000011111-40000002200000000002-1-100000000044-24-244-2-244-21-2-2-21-2-2-2-2-2-2000011111-40000002200000000002-1-1000000000
χ3844-24-2-44-2-2-4-4-21-2-2-21222222000011-1-1-10000000−2i32i300000000000i3−i300000000044-24-2-44-2-2-4-4-21-2-2-21222222000011-1-1-10000000−2i32i300000000000i3−i3000000000
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χ444-44440-4-4-400444-4-4-400000000004-400000000000000000000000000000000004-44440-4-4-400444-4-4-400000000004-40000000000000000000000000000000000
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χ6711111111111111111111111111111111-1111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-111-1-1111111111111-111111-1-1
χ6811111111111111111111111-1-1-1-1111111-1-1-11-1-111-1-111111111111-11-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-111-1-111-1-1-1-1-1-1-1-1-1-1-11-111111-11
χ6911111111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11111111111-1-1-111-111-1-11-1
χ7011111111111111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-111111111-1-1-11-1-111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1111111-1-1-1-1-1-1-1-1111-111-1-1111-1
χ7111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11
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χ1268-8-4-4-40444−4343222-2-2-2023−23023−230000-110−330000000000000000000000000000000-884440-4-4-443−43-2-2-22220−23230−232300001-103−30000000000000000000000000000000

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