Finite Group Databasebeta

← Group #13161049

Character table — Group #13161049

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222222222224444444444444444444444444488888888888888888888888888888888888121212121212121212121212121212121212242424242424242424363636363636727272108108216
order1222333334466666666666666633336666666666661212121212121212121226666666666666666666666666612121212121212128824242424242424242424242424242424266666666882424242441212244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-111-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-11
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111111-1
χ9222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000002-20
χ10222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000-220
χ11222222-1-1-122222-1-1-1-1-1-122-1-1-122-1-1-122-1-1-1-1-1-12-1-1-122-1-1-12-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000000
χ12222222-1-1-122222-1-1-1-1-1-122-1-1-122-1-1-122-1-1-1-1-1-12-1-1-122-1-1-12-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2111111111111-2-2-2111111000000000000
χ13222222-1-1-122222-1-1-1-1-1-122-1-1-122-1-1-122-1-1-1-1-1-12-1-1-122-1-1-12-1-1-12-2-2-2-2-2111111-2-2-2-211111111111122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111111000000000000
χ14222222-1-1-122222-1-1-1-1-1-122-1-1-122-1-1-122-1-1-1-1-1-12-1-1-122-1-1-12-1-1-12-2-2-2-2-2111111-2-2-2-211111111111122-1-1-1-1-1-1-2-2-2-2-2-2111111111111222-1-1-1-1-1-1000000000000
χ1522222-12-1-1222-1-122-1-1-1-12-12-1-12-12-1-1-1-122-1-1-1-1-12-1-12-12-1-1-12-1-12222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-1000000000000
χ1622222-12-1-1222-1-122-1-1-1-12-12-1-12-12-1-1-1-122-1-1-1-1-12-1-12-12-1-1-12-1-12222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-21111-2-2-2-211111111-211-2-21111000000000000
χ1722222-12-1-1222-1-122-1-1-1-12-12-1-12-12-1-1-1-122-1-1-1-1-12-1-12-12-1-1-12-1-12-2-2-211-2-211111111-2-2-2-211111111-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-211-2-21111000000000000
χ1822222-12-1-1222-1-122-1-1-1-12-12-1-12-12-1-1-1-122-1-1-1-1-12-1-12-12-1-1-12-1-12-2-2-211-2-211111111-2-2-2-211111111-1-122-1-1-1-1-2-21111-2-2-2-2111111112-1-122-1-1-1-1000000000000
χ1922222-1-12-1222-1-1-1-122-1-12-1-12-12-1-12-1-1-1-1-122-1-1-1-12-12-1-12-1-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-1000000000000
χ2022222-1-12-1222-1-1-1-122-1-12-1-12-12-1-12-1-1-1-1-122-1-1-1-12-12-1-12-1-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-2-211111111-2-2-2-21111-21111-2-211000000000000
χ2122222-1-12-1222-1-1-1-122-1-12-1-12-12-1-12-1-1-1-1-122-1-1-1-12-12-1-12-1-1-12-12-2-2-21111-2-21111111111-2-2-2-21111-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-21111-2-211000000000000
χ2222222-1-12-1222-1-1-1-122-1-12-1-12-12-1-12-1-1-1-1-122-1-1-1-12-12-1-12-1-1-12-12-2-2-21111-2-21111111111-2-2-2-21111-1-1-1-122-1-1-2-211111111-2-2-2-211112-1-1-1-122-1-1000000000000
χ2322222-1-1-12222-1-1-1-1-1-1222-1-1-122-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122000000000000
χ2422222-1-1-12222-1-1-1-1-1-1222-1-1-122-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-2-2111111111111-2-2-2-2-2111111-2-2000000000000
χ2522222-1-1-12222-1-1-1-1-1-1222-1-1-122-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-122-2-2-2111111-2-2111111111111-2-2-2-2-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2111111-2-2000000000000
χ2622222-1-1-12222-1-1-1-1-1-1222-1-1-122-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-122-2-2-2111111-2-2111111111111-2-2-2-2-1-1-1-1-1-122-2-2111111111111-2-2-2-22-1-1-1-1-1-122000000000000
χ272222-1222222-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000022-1-1-1-12-1-1000
χ282222-1222222-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000-2-21111-211000
χ292222-1222222-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-211-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-100000000000000000000000000022-1-1-1-1-211000
χ302222-1222222-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-211-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1000000000000000000000000000-2-211112-1-1000
χ312-22-2222222-2-2-2-2-2-2-2-2-2-222222-22222-2-2-2-2-2-2-2-2222222222-2-2-2-2-20000000000000000000000000002-22-22-22-20000000000000000000000000002i−2i2i2i−2i−2i000000
χ322-22-2222222-2-2-2-2-2-2-2-2-2-222222-22222-2-2-2-2-2-2-2-2222222222-2-2-2-2-20000000000000000000000000002-22-22-22-2000000000000000000000000000−2i2i−2i−2i2i2i000000
χ332-22-222222-22-2-2-2-2-2-2-2-2-222222-22222-2-2-2-2-2-2-2-22222-2-2-2-2-222222000000000000000000000000000-22-22-22-222-222-2-222-2-222-2-222-2-2000000000000000000000
χ342-22-222222-22-2-2-2-2-2-2-2-2-222222-22222-2-2-2-2-2-2-2-22222-2-2-2-2-222222000000000000000000000000000-22-22-22-22-22-2-222-2-222-2-222-2-222000000000000000000000
χ352-22-222-1-1-1-22-2-2-211111122-1-1-1-22-1-1-1-2-21111112-1-1-1-2-21112-1-1-1200000−i3i3−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-221-11-11-12-222-2-2-1-111-1-111-1-111000−i3i3−i3i3−i3i3000000000000
χ362-22-222-1-1-1-22-2-2-211111122-1-1-1-22-1-1-1-2-21111112-1-1-1-2-21112-1-1-1200000−i3i3−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-221-11-11-1-22-2-22211-1-111-1-111-1-1000i3−i3i3−i3i3−i3000000000000
χ372-22-222-1-1-1-22-2-2-211111122-1-1-1-22-1-1-1-2-21111112-1-1-1-2-21112-1-1-1200000i3−i3i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-221-11-11-12-222-2-2-1-111-1-111-1-111000i3−i3i3−i3i3−i3000000000000
χ382-22-222-1-1-1-22-2-2-211111122-1-1-1-22-1-1-1-2-21111112-1-1-1-2-21112-1-1-1200000i3−i3i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-221-11-11-1-22-2-22211-1-111-1-111-1-1000−i3i3−i3i3−i3i3000000000000
χ392-22-22-12-1-1-22-211-2-211112-12-1-1-2-12-1-111-2-21111-12-1-1-21-211-12-1-12000−i3i300−i3i3i3−i3−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i31-1-221-11-12-2-1-11122-2-2-1-111-1-1110−i3i300−i3i3i3−i3000000000000
χ402-22-22-12-1-1-22-211-2-211112-12-1-1-2-12-1-111-2-21111-12-1-1-21-211-12-1-12000−i3i300−i3i3i3−i3−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i31-1-221-11-1-2211-1-1-2-22211-1-111-1-10i3−i300i3−i3−i3i3000000000000
χ412-22-22-12-1-1-22-211-2-211112-12-1-1-2-12-1-111-2-21111-12-1-1-21-211-12-1-12000i3−i300i3−i3−i3i3i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i31-1-221-11-12-2-1-11122-2-2-1-111-1-1110i3−i300i3−i3−i3i3000000000000
χ422-22-22-12-1-1-22-211-2-211112-12-1-1-2-12-1-111-2-21111-12-1-1-21-211-12-1-12000i3−i300i3−i3−i3i3i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i31-1-221-11-1-2211-1-1-2-22211-1-111-1-10−i3i300−i3i3i3−i3000000000000
χ432-22-22-1-12-1-22-21111-2-2112-1-12-1-2-1-12-11111-2-211-1-12-1-211-21-1-12-12000−i3i3i3−i300−i3i3−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i31-11-1-221-12-2-1-111-1-11122-2-2-1-1110−i3i3i3−i300−i3i3000000000000
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χ462-22-22-1-12-1-22-21111-2-2112-1-12-1-2-1-12-11111-2-211-1-12-1-211-21-1-12-12000i3−i3−i3i300i3−i3i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i31-11-1-221-1-2211-1-111-1-1-2-22211-1-10−i3i3i3−i300−i3i3000000000000
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χ55444444-2-2-2-4-4444-2-2-2-2-2-244-2-2-244-2-2-244-2-2-2-2-2-24-2-2-2-4-4222-4222-4000000000000000000000000000-4-4222222000000000000000000000000000000000000000
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χ5844444-2-2-24-4-44-2-2-2-2-2-2444-2-2-244-2-2-24-2-2-2-2-2-244-2-2-24-4222-4222-4-4000000000000000000000000000222222-4-4000000000000000000000000000000000000000
χ594444-24444-4-4-244444444-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-4-4-4-4-4-4-4-4200000000000000000000000000022222222000000000000000000000000000000000000000
χ604444-24-2-2-244-244-2-2-2-2-2-2-24-2-2-2-2-2111-2-2111111-2111-24-2-2-24-2-2-2-24-2-244-2-2-2-2-2-2-2-2-2-2111111111111-2-2111111000000000000000000000000000000000000000
χ614444-24-2-2-244-244-2-2-2-2-2-2-24-2-2-2-2-2111-2-2111111-2111-24-2-2-24-2-2-2-2-422-4-42222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111000000000000000000000000000000000000000
χ624444-24-2-2-2-4-4-244-2-2-2-2-2-2-24-2-2-2-2-2111-2-2111111-21112-4222-422220000000000000003-3-333-3-333-3-3322-1-1-1-1-1-1000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).