Finite Group Databasebeta

← Group #13172688

Character table — Group #13172688

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222224444444444444444444444446666666666666666666666668888888888999912121212121212121212121212121212121212121212121212121818181818181818181824242424242424243636363672727272108108
order1222223336666666666666333666666666666666666666444444441212121212121212121212121212121236666666662222241212121212121212121212121212121212121212121212122266666666666612121212224466121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-11-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1111
χ51111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-11-11-11-11-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1
χ91111-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111111-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ101111-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11111-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ111111-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11-1-111-1-11-11
χ121111-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-111-1-111-11-1
χ131111-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-111-1-111-1-11
χ141111-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-111-1-111-1
χ151111-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-111111-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ161111-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11111-11-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ1722222222-122-1-1-1-1-1-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-122220022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000000000
χ1822222222-122-1-1-1-1-1-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-122-1-1-1-1-1-1-1-2-2-2-2002222-2-2-2-2-1-1-1-1-1-1-1-111111111-2-211111111000000000000000000
χ1922222222-122-1-1-1-1-1-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-200-2-2-2-2222211111111-1-1-1-1-1-1-1-1-2-211111111000000000000000000
χ2022222222-122-1-1-1-1-1-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-2-2-2-2-2-2-2-21111111111111111-122-1-1-1-1-1-1-1222200-2-2-2-2-2-2-2-2111111111111111122-1-1-1-1-1-1-1-1000000000000000000
χ212222222-122-12222222-12-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-1000022220000000022222222-1-1-1-1-1-1-1-1-1-10000220000-1-1-1-100000000-1-1-1-1-1-1-1-100000000002-1-1-12-1-1-102020-10-100
χ222222222-122-12222222-12-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-1000022220000000022222222-1-1-1-1-1-1-1-1-1-10000-2-20000-1-1-1-100000000-1-1-1-1-1-1-1-10000000000-2111-21110-20-2010100
χ232222222-122-12222222-12-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-100002200001111000000001111111100000000002-1-1-12-1-1-10-20-2010100
χ242222222-122-12222222-12-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000-2-20000111100000000111111110000000000-2111-211102020-10-100
χ25222222-122-12222222-12-122-12-1-1-122-1-122-1-1-1-12222-1-1-1-12222200002222222200000000-1-1-1-1-1-1-1-1-1-1000022-1-1-1-10000-1-1-1-1-1-1-1-1000000000000000000-12-1-1-12-1-12020-10-1000
χ26222222-122-12222222-12-122-12-1-1-122-1-122-1-1-1-12222-1-1-1-12222200002222222200000000-1-1-1-1-1-1-1-1-1-10000-2-2-1-1-1-10000-1-1-1-1-1-1-1-10000000000000000001-2111-211-20-20101000
χ27222222-122-12222222-12-122-12-1-1-122-1-122-1-1-1-12222-1-1-1-12-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-10000221111000011111111000000000000000000-12-1-1-12-1-1-20-20101000
χ28222222-122-12222222-12-122-12-1-1-122-1-122-1-1-1-12222-1-1-1-12-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-10000-2-211110000111111110000000000000000001-2111-2112020-10-1000
χ292222-2-222-122-1-111112222-1-1-12-2-2-2-2-1-1-1-111111111222-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-2-2-1-1-1111122220022-2-222-2-2-1-1-1-11111-1-1-1-11111-2-2-1-1-1-11111000000000000000000
χ302222-2-222-122-1-111112222-1-1-12-2-2-2-2-1-1-1-111111111222-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1-1-2-2-1-1-11111-2-2-2-20022-2-2-2-222-1-1-1-111111111-1-1-1-1221111-1-1-1-1000000000000000000
χ312222-2-222-122-1-111112222-1-1-12-2-2-2-2-1-1-1-111111111222-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111-1-2-2-1-1-11111-2-2-2-200-2-22222-2-21111-1-1-1-1-1-1-1-11111221111-1-1-1-1000000000000000000
χ322222-2-222-122-1-111112222-1-1-12-2-2-2-2-1-1-1-111111111222-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-1-1-2-2-1-1-11111222200-2-222-2-2221111-1-1-1-11111-1-1-1-1-2-2-1-1-1-11111000000000000000000
χ332222-2-22-122-122-2-2-2-22-12-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-1000022-2-2000000002222-2-2-2-2-111-1-1-1111100002-20000-1-11100000000-1-1-1-1111100000000002-1-1-1-2111020-20-10100
χ342222-2-22-122-122-2-2-2-22-12-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-1000022-2-2000000002222-2-2-2-2-111-1-1-111110000-220000-1-11100000000-1-1-1-111110000000000-21112-1-1-10-202010-100
χ352222-2-22-122-122-2-2-2-22-12-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-10000-2-22200000000-2-2-2-22222-111-1-1-1111100002-2000011-1-1000000001111-1-1-1-100000000002-1-1-1-21110-202010-100
χ362222-2-22-122-122-2-2-2-22-12-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-10000-2-22200000000-2-2-2-22222-111-1-1-111110000-22000011-1-1000000001111-1-1-1-10000000000-21112-1-1-1020-20-10100
χ372222-2-2-122-1222-2-2-2-2-12-122-12-111-2-2-1-1221111-2-2-2-2-1-1-1-1222-2-200002222-2-2-2-200000000-111-1-1-1111100002-2-1-1110000-1-1-1-11111000000000000000000-12-1-11-21120-20-101000
χ382222-2-2-122-1222-2-2-2-2-12-122-12-111-2-2-1-1221111-2-2-2-2-1-1-1-1222-2-200002222-2-2-2-200000000-111-1-1-111110000-22-1-1110000-1-1-1-111110000000000000000001-211-12-1-1-202010-1000
χ392222-2-2-122-1222-2-2-2-2-12-122-12-111-2-2-1-1221111-2-2-2-2-1-1-1-12-2-2220000-2-2-2-2222200000000-111-1-1-1111100002-211-1-100001111-1-1-1-1000000000000000000-12-1-11-211-202010-1000
χ402222-2-2-122-1222-2-2-2-2-12-122-12-111-2-2-1-1221111-2-2-2-2-1-1-1-12-2-2220000-2-2-2-2222200000000-111-1-1-111110000-2211-1-100001111-1-1-1-10000000000000000001-211-12-1-120-20-101000
χ4122-2-200222222-20000-2-2-2-2-222200002-22-2000000002-2-2-2-2002i−2i002i−2i00002i2i−2i−2i00002i2i−2i−2i2002-2-2000022-2-200002i−2i002i−2i00002i2i−2i−2i00002i2i−2i−2i0022-2-20000000000000000000000
χ4222-2-200222222-20000-2-2-2-2-222200002-22-2000000002-2-2-2-2002i−2i00−2i2i00002i2i−2i−2i0000−2i−2i2i2i2002-2-20000-2-22200002i−2i00−2i2i00002i2i−2i−2i0000−2i−2i2i2i00-2-2220000000000000000000000
χ4322-2-200222222-20000-2-2-2-2-222200002-22-2000000002-2-2-2-200−2i2i002i−2i0000−2i−2i2i2i00002i2i−2i−2i2002-2-20000-2-2220000−2i2i002i−2i0000−2i−2i2i2i00002i2i−2i−2i00-2-2220000000000000000000000
χ4422-2-200222222-20000-2-2-2-2-222200002-22-2000000002-2-2-2-200−2i2i00−2i2i0000−2i−2i2i2i0000−2i−2i2i2i2002-2-2000022-2-20000−2i2i00−2i2i0000−2i−2i2i2i0000−2i−2i2i2i0022-2-20000000000000000000000
χ4522-2-20022-122-11−i3−i3i3i3-2-2-2-21-1-120000-11-11−i3−i3i3i3−i3−i3i3i32-2-211002i−2i002i−2i33−3−3−i−iii33−3−3−i−iii-100-111−i3−i3i3i322-2-200002i−2i002i−2i33−3−3−i−iii33−3−3−i−iii00-1-111−i3−i3i3i3000000000000000000
χ4622-2-20022-122-11−i3−i3i3i3-2-2-2-21-1-120000-11-11−i3−i3i3i3−i3−i3i3i32-2-211002i−2i00−2i2i33−3−3−i−iii−3−333ii−i−i-100-111−i3−i3i3i3-2-22200002i−2i00−2i2i33−3−3−i−iii−3−333ii−i−i0011-1-1i3i3−i3−i3000000000000000000
χ4722-2-20022-122-11−i3−i3i3i3-2-2-2-21-1-120000-11-11−i3−i3i3i3−i3−i3i3i32-2-21100−2i2i002i−2i−3−333ii−i−i33−3−3−i−iii-100-111−i3−i3i3i3-2-2220000−2i2i002i−2i−3−333ii−i−i33−3−3−i−iii0011-1-1i3i3−i3−i3000000000000000000
χ4822-2-20022-122-11−i3−i3i3i3-2-2-2-21-1-120000-11-11−i3−i3i3i3−i3−i3i3i32-2-21100−2i2i00−2i2i−3−333ii−i−i−3−333ii−i−i-100-111−i3−i3i3i322-2-20000−2i2i00−2i2i−3−333ii−i−i−3−333ii−i−i00-1-111−i3−i3i3i3000000000000000000
χ4922-2-20022-122-11i3i3−i3−i3-2-2-2-21-1-120000-11-11i3i3−i3−i3i3i3−i3−i32-2-211002i−2i002i−2i−3−333−i−iii−3−333−i−iii-100-111i3i3−i3−i322-2-200002i−2i002i−2i−3−333−i−iii−3−333−i−iii00-1-111i3i3−i3−i3000000000000000000
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χ532-22-200222-2-2-2-2000022-2-222220000-2-2-2-200000000-22-2222-2002-2002-22-200002-22-20000200-22-200002-22-2002-2002-2002-22-200002-22-20000002-22-20000000000000000000000
χ542-22-200222-2-2-2-2000022-2-222220000-2-2-2-200000000-22-2222-200-22002-22-20000-22-220000200-22-20000-22-22002-200-22002-22-20000-22-22000000-22-220000000000000000000000
χ552-22-200222-2-2-2-2000022-2-222220000-2-2-2-200000000-22-222-22002-200-22-2200002-22-20000200-22-20000-22-2200-22002-200-22-2200002-22-2000000-22-220000000000000000000000
χ562-22-200222-2-2-2-2000022-2-222220000-2-2-2-200000000-22-222-2200-2200-22-220000-22-220000200-22-200002-22-200-2200-2200-22-220000-22-220000002-22-20000000000000000000000
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χ582-22-20022-1-2-211−i3i3−i3i322-2-2-1-1-1200001111−i3i3−i3i3−i3i3−i3i3-22-2-1-12-200-2200-11-11−i3i3−i3i31-11-1i3−i3i3−i3-1001-11−i3i3−i3i3-22-22002-200-2200-11-11−i3i3−i3i31-11-1i3−i3i3−i3001-11-1i3−i3i3−i3000000000000000000
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Here i is the imaginary unit (i² = −1).