Finite Group Databasebeta

← Group #13172057

Character table — Group #13172057

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222224444444444444444444444446666666666666666666666668888888888999912121212121212121212121212121212121212121212121212121818181818181818181824242424242424243636363672727272108108
order122222333666666666666633366666666666666666666644444444121212121212121212121212121212123666666666444424121212121212121212121212121212121212121212121212441212121212121212666612121212224466121224
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
χ91111-1-1111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111111-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-111-1-11-11
χ101111-1-1111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11111-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-111-11-1
χ111111-1-1111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-111-1-11-1
χ121111-1-1111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111-1-111-11
χ131111-1-1111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1111-1
χ141111-1-1111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-11
χ151111-1-1111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-111111-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111-1-111-1-11
χ161111-1-1111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11111-11-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-1-111-1-111-1
χ1722222222-122222-1222-12-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-1000022220000000022222222-1-1-1-1-1-1-1-1-1-10000220000-1-1-1-100000000-1-1-1-1-1-1-1-100000000002-1-1-12-1-1-102020-10-100
χ1822222222-122222-1222-12-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-1000022220000000022222222-1-1-1-1-1-1-1-1-1-10000-2-20000-1-1-1-100000000-1-1-1-1-1-1-1-10000000000-2111-21110-20-2010100
χ1922222222-122222-1222-12-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-100002200001111000000001111111100000000002-1-1-12-1-1-10-20-2010100
χ2022222222-122222-1222-12-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000-2-20000111100000000111111110000000000-2111-211102020-10-100
χ212222222-122222-1222-12-122-12-1-1-122-1-122-1-1-1-12222-1-1-1-12222200002222222200000000-1-1-1-1-1-1-1-1-1-1000022-1-1-1-10000-1-1-1-1-1-1-1-1000000000000000000-12-1-1-12-1-12020-10-1000
χ222222222-122222-1222-12-122-12-1-1-122-1-122-1-1-1-12222-1-1-1-12222200002222222200000000-1-1-1-1-1-1-1-1-1-10000-2-2-1-1-1-10000-1-1-1-1-1-1-1-10000000000000000001-2111-211-20-20101000
χ232222222-122222-1222-12-122-12-1-1-122-1-122-1-1-1-12222-1-1-1-12-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-10000221111000011111111000000000000000000-12-1-1-12-1-1-20-20101000
χ242222222-122222-1222-12-122-12-1-1-122-1-122-1-1-1-12222-1-1-1-12-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-10000-2-211110000111111110000000000000000001-2111-2112020-10-1000
χ25222222-122-1-1-1-122-1-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-122220022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000000000
χ26222222-122-1-1-1-122-1-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-122-1-1-1-1-1-1-1-2-2-2-2002222-2-2-2-2-1-1-1-1-1-1-1-111111111-2-211111111000000000000000000
χ27222222-122-1-1-1-122-1-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-200-2-2-2-2222211111111-1-1-1-1-1-1-1-1-2-211111111000000000000000000
χ28222222-122-1-1-1-122-1-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-2-2-2-2-2-2-2-21111111111111111-122-1-1-1-1-1-1-1222200-2-2-2-2-2-2-2-2111111111111111122-1-1-1-1-1-1-1-1000000000000000000
χ292222-2-222-1-2-2-2-22-1222-12-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-1000022-2-2000000002222-2-2-2-2-111-1-1-1111100002-20000-1-11100000000-1-1-1-1111100000000002-1-1-1-21110-202010-100
χ302222-2-222-1-2-2-2-22-1222-12-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-1000022-2-2000000002222-2-2-2-2-111-1-1-111110000-220000-1-11100000000-1-1-1-111110000000000-21112-1-1-1020-20-10100
χ312222-2-222-1-2-2-2-22-1222-12-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-10000-2-22200000000-2-2-2-22222-111-1-1-1111100002-2000011-1-1000000001111-1-1-1-100000000002-1-1-1-2111020-20-10100
χ322222-2-222-1-2-2-2-22-1222-12-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-10000-2-22200000000-2-2-2-22222-111-1-1-111110000-22000011-1-1000000001111-1-1-1-10000000000-21112-1-1-10-202010-100
χ332222-2-22-12-2-2-2-2-1222-12-122-12-111-2-2-1-1221111-2-2-2-2-1-1-1-1222-2-200002222-2-2-2-200000000-111-1-1-1111100002-2-1-1110000-1-1-1-11111000000000000000000-12-1-11-21120-20-101000
χ342222-2-22-12-2-2-2-2-1222-12-122-12-111-2-2-1-1221111-2-2-2-2-1-1-1-1222-2-200002222-2-2-2-200000000-111-1-1-111110000-22-1-1110000-1-1-1-111110000000000000000001-211-12-1-1-202010-1000
χ352222-2-22-12-2-2-2-2-1222-12-122-12-111-2-2-1-1221111-2-2-2-2-1-1-1-12-2-2220000-2-2-2-2222200000000-111-1-1-1111100002-211-1-100001111-1-1-1-1000000000000000000-12-1-11-211-202010-1000
χ362222-2-22-12-2-2-2-2-1222-12-122-12-111-2-2-1-1221111-2-2-2-2-1-1-1-12-2-2220000-2-2-2-2222200000000-111-1-1-111110000-2211-1-100001111-1-1-1-10000000000000000001-211-12-1-120-20-101000
χ372222-2-2-122111122-1-12222-1-1-12-2-2-2-2-1-1-1-111111111222-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-2-2-1-1-1111122220022-2-222-2-2-1-1-1-11111-1-1-1-11111-2-2-1-1-1-11111000000000000000000
χ382222-2-2-122111122-1-12222-1-1-12-2-2-2-2-1-1-1-111111111222-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1-1-2-2-1-1-11111-2-2-2-20022-2-2-2-222-1-1-1-111111111-1-1-1-1221111-1-1-1-1000000000000000000
χ392222-2-2-122111122-1-12222-1-1-12-2-2-2-2-1-1-1-111111111222-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111-1-2-2-1-1-11111-2-2-2-200-2-22222-2-21111-1-1-1-1-1-1-1-11111221111-1-1-1-1000000000000000000
χ402222-2-2-122111122-1-12222-1-1-12-2-2-2-2-1-1-1-111111111222-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-1-1-2-2-1-1-11111222200-2-222-2-2221111-1-1-1-11111-1-1-1-1-2-2-1-1-1-11111000000000000000000
χ4122-2-20022200002-22-2-22-2-2-222200002-2-2-2000000002-2-2-22002i−2i002-200002i2i−2i−2i000022-2-22002-2-200002i2i−2i−2i00002i−2i002-200002i2i−2i−2i000022-2-2002i2i−2i−2i0000000000000000000000
χ4222-2-20022200002-22-2-22-2-2-222200002-2-2-2000000002-2-2-22002i−2i00-2200002i2i−2i−2i0000-2-2222002-2-20000−2i−2i2i2i00002i−2i00-2200002i2i−2i−2i0000-2-22200−2i−2i2i2i0000000000000000000000
χ4322-2-20022200002-22-2-22-2-2-222200002-2-2-2000000002-2-2-2200−2i2i002-20000−2i−2i2i2i000022-2-22002-2-20000−2i−2i2i2i0000−2i2i002-20000−2i−2i2i2i000022-2-200−2i−2i2i2i0000000000000000000000
χ4422-2-20022200002-22-2-22-2-2-222200002-2-2-2000000002-2-2-2200−2i2i00-220000−2i−2i2i2i0000-2-2222002-2-200002i2i−2i−2i0000−2i2i00-220000−2i−2i2i2i0000-2-222002i2i−2i−2i0000000000000000000000
χ4522-2-200-122−i3−i3i3i32-2-11-22-2-21-1-120000-1111−i3−i3i3i3−i3−i3i3i32-2-21-1002i−2i002-233−3−3−i−iii−i3−i3i3i3-1-111-100-111−i3−i3i3i32i2i−2i−2i00002i−2i002-233−3−3−i−iii−i3−i3i3i3-1-11100−i−iii33−3−3000000000000000000
χ4622-2-200-122−i3−i3i3i32-2-11-22-2-21-1-120000-1111−i3−i3i3i3−i3−i3i3i32-2-21-1002i−2i00-2233−3−3−i−iiii3i3−i3−i311-1-1-100-111−i3−i3i3i3−2i−2i2i2i00002i−2i00-2233−3−3−i−iiii3i3−i3−i311-1-100ii−i−i−3−333000000000000000000
χ4722-2-200-122−i3−i3i3i32-2-11-22-2-21-1-120000-1111−i3−i3i3i3−i3−i3i3i32-2-21-100−2i2i002-2−3−333ii−i−i−i3−i3i3i3-1-111-100-111−i3−i3i3i3−2i−2i2i2i0000−2i2i002-2−3−333ii−i−i−i3−i3i3i3-1-11100ii−i−i−3−333000000000000000000
χ4822-2-200-122−i3−i3i3i32-2-11-22-2-21-1-120000-1111−i3−i3i3i3−i3−i3i3i32-2-21-100−2i2i00-22−3−333ii−i−ii3i3−i3−i311-1-1-100-111−i3−i3i3i32i2i−2i−2i0000−2i2i00-22−3−333ii−i−ii3i3−i3−i311-1-100−i−iii33−3−3000000000000000000
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χ5022-2-200-122i3i3−i3−i32-2-11-22-2-21-1-120000-1111i3i3−i3−i3i3i3−i3−i32-2-21-1002i−2i00-22−3−333−i−iii−i3−i3i3i311-1-1-100-111i3i3−i3−i3−2i−2i2i2i00002i−2i00-22−3−333−i−iii−i3−i3i3i311-1-100ii−i−i33−3−3000000000000000000
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χ5222-2-200-122i3i3−i3−i32-2-11-22-2-21-1-120000-1111i3i3−i3−i3i3i3−i3−i32-2-21-100−2i2i00-2233−3−3ii−i−i−i3−i3i3i311-1-1-100-111i3i3−i3−i32i2i−2i−2i0000−2i2i00-2233−3−3ii−i−i−i3−i3i3i311-1-100−i−iii−3−333000000000000000000
χ532-22-2002220000-22-222-2-2-2-22220000-2-22-200000000-22-22-22-2002i−2i002-22-200002i−2i2i−2i0000200-22-200002i−2i2i−2i002-2002i−2i002-22-200002i−2i2i−2i0000002i−2i2i−2i0000000000000000000000
χ542-22-2002220000-22-222-2-2-2-22220000-2-22-200000000-22-22-22-200−2i2i002-22-20000−2i2i−2i2i0000200-22-20000−2i2i−2i2i002-200−2i2i002-22-20000−2i2i−2i2i000000−2i2i−2i2i0000000000000000000000
χ552-22-2002220000-22-222-2-2-2-22220000-2-22-200000000-22-22-2-22002i−2i00-22-2200002i−2i2i−2i0000200-22-20000−2i2i−2i2i00-22002i−2i00-22-2200002i−2i2i−2i000000−2i2i−2i2i0000000000000000000000
χ562-22-2002220000-22-222-2-2-2-22220000-2-22-200000000-22-22-2-2200−2i2i00-22-220000−2i2i−2i2i0000200-22-200002i−2i2i−2i00-2200−2i2i00-22-220000−2i2i−2i2i0000002i−2i2i−2i0000000000000000000000
χ572-22-200-122−i3i3−i3i3-221-12-2-2-21-1-12000011-11−i3i3−i3i3−i3i3−i3i3-22-2-112-2002i−2i00-11-11−i3i3−i3i3−ii−ii3−33−3-1001-11−i3i3−i3i32i−2i2i−2i002-2002i−2i00-11-11−i3i3−i3i3−ii−ii3−33−300−ii−ii3−33−3000000000000000000
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χ1358-88-800-4-4-4−4i34i3−4i34i34-44-4-444442220000-2-22-22i3−2i32i3−2i32i3−2i32i3−2i3-22-22-2000000000000000000000000-1001-11−i3i3−i3i30000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).