Finite Group Databasebeta

← Group #13172034

Character table — Group #13172034

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222224444444444444444444444446666666666666666666666668888888888999912121212121212121212121212121212121212121212121212121818181818181818181824242424242424243636363672727272108108
order12222233366666666666663336666666666666666666662222444466666666121212121212121236666666664444446666666666661212121212121212121212124412121212121212121212121212121212224466121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-111-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111
χ51111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-11-111-1-11-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-111
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
χ91111-1-111111-1-1-1-11111111111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111111-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1-11-11-111-1
χ101111-1-111111-1-1-1-11111111111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11111-1111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-111-11-11-1-11
χ111111-1-111111-1-1-1-11111111111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-111-1-1-11
χ121111-1-111111-1-1-1-11111111111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-1111-1
χ131111-1-111111-1-1-1-11111111111-1-1-1-1111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-111-11
χ141111-1-111111-1-1-1-11111111111-1-1-1-1111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-11-1
χ151111-1-111111-1-1-1-11111111111-1-1-1-1111-1-1-1-1111-1-1-1-1111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-111111-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-111-11-11-11-1
χ161111-1-111111-1-1-1-11111111111-1-1-1-1111-1-1-1-1111-1-1-1-1111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11111-11-1-111-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1111-1-11-11-11-11
χ1722222222-122222222-1-1-1222-1-122-1-122-12222-1-1-1-1-1-1-1-1-12222200002222222200000000-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000002-12-1-1-1-1-120200-1-1000
χ1822222222-122222222-1-1-1222-1-122-1-122-12222-1-1-1-1-1-1-1-1-12222200002222222200000000-1-1-1-1-1-1-1-1-1-10000-2-2-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000-21-211111-20-20011000
χ1922222222-122222222-1-1-1222-1-122-1-122-12222-1-1-1-1-1-1-1-1-12-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-100002211111111111100000000000000000000002-12-1-1-1-1-1-20-20011000
χ2022222222-122222222-1-1-1222-1-122-1-122-12222-1-1-1-1-1-1-1-1-12-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-10000-2-21111111111110000000000000000000000-21-21111120200-1-1000
χ212222222-12222222-1-1222-12-1-12-1-122-1-1-1-1-1-1-12222222-1-1-1000022220000000022222222-1-1-1-1-1-1-1-1-1-1000022000000000000-1-1-1-1-1-1-1-1-1-1-1-10000000000-12-12-1-1-1-10202-100-100
χ222222222-12222222-1-1222-12-1-12-1-122-1-1-1-1-1-1-12222222-1-1-1000022220000000022222222-1-1-1-1-1-1-1-1-1-10000-2-2000000000000-1-1-1-1-1-1-1-1-1-1-1-100000000001-21-211110-20-2100100
χ232222222-12222222-1-1222-12-1-12-1-122-1-1-1-1-1-1-12222222-1-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000220000000000001111111111110000000000-12-12-1-1-1-10-20-2100100
χ242222222-12222222-1-1222-12-1-12-1-122-1-1-1-1-1-1-12222222-1-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000-2-200000000000011111111111100000000001-21-211110202-100-100
χ25222222-122-1-1-1-1-1-1222222-1-12-12222-1-12-1-1-1-1-1-1-1-1-1-1-122-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12222002222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000000000
χ26222222-122-1-1-1-1-1-1222222-1-12-12222-1-12-1-1-1-1-1-1-1-1-1-1-122-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-122-1-1-1-1-1-1-1-2-2-2-2002222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-211111111000000000000000000
χ27222222-122-1-1-1-1-1-1222222-1-12-12222-1-12-1-1-1-1-1-1-1-1-1-1-122-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-200-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-211111111000000000000000000
χ28222222-122-1-1-1-1-1-1222222-1-12-12222-1-12-1-1-1-1-1-1-1-1-1-1-122-1-2-2-2-2-2-2-2-21111111111111111-122-1-1-1-1-1-1-1222200-2-2-2-211111111-2-2-2-21111111122-1-1-1-1-1-1-1-1000000000000000000
χ292222-2-222-122-2-2-2-222-1-1-1222-1-1-2-21122-1-2-2-2-2-1-1-11111-1-1222-2-200002222-2-2-2-200000000-111-1-1-1111100002-2-1-111-1-1-1-1111100000000000000000000002-1-21-1-11120-200-11000
χ302222-2-222-122-2-2-2-222-1-1-1222-1-1-2-21122-1-2-2-2-2-1-1-11111-1-1222-2-200002222-2-2-2-200000000-111-1-1-111110000-22-1-111-1-1-1-111110000000000000000000000-212-111-1-1-202001-1000
χ312222-2-222-122-2-2-2-222-1-1-1222-1-1-2-21122-1-2-2-2-2-1-1-11111-1-12-2-2220000-2-2-2-2222200000000-111-1-1-1111100002-211-1-11111-1-1-1-100000000000000000000002-1-21-1-111-202001-1000
χ322222-2-222-122-2-2-2-222-1-1-1222-1-1-2-21122-1-2-2-2-2-1-1-11111-1-12-2-2220000-2-2-2-2222200000000-111-1-1-111110000-2211-1-11111-1-1-1-10000000000000000000000-212-111-1-120-200-11000
χ332222-2-22-1222-2-2-2-2-1-1222-12-1-1211-2-2-1-1-11111222-2-2-2-2-1-1-1000022-2-2000000002222-2-2-2-2-111-1-1-1111100002-2000000000000-1-111-1-1-1-111110000000000-121-2-1-1110-202100-100
χ342222-2-22-1222-2-2-2-2-1-1222-12-1-1211-2-2-1-1-11111222-2-2-2-2-1-1-1000022-2-2000000002222-2-2-2-2-111-1-1-111110000-22000000000000-1-111-1-1-1-1111100000000001-2-1211-1-1020-2-100100
χ352222-2-22-1222-2-2-2-2-1-1222-12-1-1211-2-2-1-1-11111222-2-2-2-2-1-1-10000-2-22200000000-2-2-2-22222-111-1-1-1111100002-200000000000011-1-11111-1-1-1-10000000000-121-2-1-111020-2-100100
χ362222-2-22-1222-2-2-2-2-1-1222-12-1-1211-2-2-1-1-11111222-2-2-2-2-1-1-10000-2-22200000000-2-2-2-22222-111-1-1-111110000-2200000000000011-1-11111-1-1-1-100000000001-2-1211-1-10-202100-100
χ372222-2-2-122-1-11111222222-1-12-1-2-2-2-2-1-121111-1-1-1111122-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-2-2-1-1-1111122220022-2-2-1-1-1-1111122-2-2-1-1-1-11111-2-2-1-1-1-11111000000000000000000
χ382222-2-2-122-1-11111222222-1-12-1-2-2-2-2-1-121111-1-1-1111122-122-2-2-2-222-1-1-1-111111111-1-1-1-1-1-2-2-1-1-11111-2-2-2-20022-2-2-1-1-1-11111-2-2221111-1-1-1-1221111-1-1-1-1000000000000000000
χ392222-2-2-122-1-11111222222-1-12-1-2-2-2-2-1-121111-1-1-1111122-1-2-22222-2-21111-1-1-1-1-1-1-1-11111-1-2-2-1-1-11111-2-2-2-200-2-2221111-1-1-1-122-2-2-1-1-1-11111221111-1-1-1-1000000000000000000
χ402222-2-2-122-1-11111222222-1-12-1-2-2-2-2-1-121111-1-1-1111122-1-2-222-2-2221111-1-1-1-11111-1-1-1-1-1-2-2-1-1-11111222200-2-2221111-1-1-1-1-2-2221111-1-1-1-1-2-2-1-1-1-11111000000000000000000
χ4122-2-2002222-200002-22-2-2-2-222200002-2-200002-2-200002-2-2002-2002i−2i000022-2-200002i2i−2i−2i2002-2-200002i2i−2i−2i00002-2000022-2-2002i−2i00002i2i−2i−2i002i2i−2i−2i0000000000000000000000
χ4222-2-2002222-200002-22-2-2-2-222200002-2-200002-2-200002-2-2002-200−2i2i000022-2-20000−2i−2i2i2i2002-2-20000−2i−2i2i2i00002-2000022-2-200−2i2i0000−2i−2i2i2i00−2i−2i2i2i0000000000000000000000
χ4322-2-2002222-200002-22-2-2-2-222200002-2-200002-2-200002-2-200-22002i−2i0000-2-22200002i2i−2i−2i2002-2-20000−2i−2i2i2i0000-220000-2-222002i−2i00002i2i−2i−2i00−2i−2i2i2i0000000000000000000000
χ4422-2-2002222-200002-22-2-2-2-222200002-2-200002-2-200002-2-200-2200−2i2i0000-2-2220000−2i−2i2i2i2002-2-200002i2i−2i−2i0000-220000-2-22200−2i2i0000−2i−2i2i2i002i2i−2i−2i0000000000000000000000
χ4522-2-200-122-11−i3−i3i3i32-22-2-2-21-12-10000-11-2−i3−i3i3i3-111−i3−i3i3i32-21002-2002i−2i−i3−i3i3i3-1-11133−3−3−i−iii-100-111−i3−i3i3i32i2i−2i−2i00002-2−i3−i3i3i3-1-111002i−2i33−3−3−i−iii00−i−iii33−3−3000000000000000000
χ4622-2-200-122-11−i3−i3i3i32-22-2-2-21-12-10000-11-2−i3−i3i3i3-111−i3−i3i3i32-21002-200−2i2i−i3−i3i3i3-1-111−3−333ii−i−i-100-111−i3−i3i3i3−2i−2i2i2i00002-2−i3−i3i3i3-1-11100−2i2i−3−333ii−i−i00ii−i−i−3−333000000000000000000
χ4722-2-200-122-11−i3−i3i3i32-22-2-2-21-12-10000-11-2−i3−i3i3i3-111−i3−i3i3i32-2100-22002i−2ii3i3−i3−i311-1-133−3−3−i−iii-100-111−i3−i3i3i3−2i−2i2i2i0000-22i3i3−i3−i311-1-1002i−2i33−3−3−i−iii00ii−i−i−3−333000000000000000000
χ4822-2-200-122-11−i3−i3i3i32-22-2-2-21-12-10000-11-2−i3−i3i3i3-111−i3−i3i3i32-2100-2200−2i2ii3i3−i3−i311-1-1−3−333ii−i−i-100-111−i3−i3i3i32i2i−2i−2i0000-22i3i3−i3−i311-1-100−2i2i−3−333ii−i−i00−i−iii33−3−3000000000000000000
χ4922-2-200-122-11i3i3−i3−i32-22-2-2-21-12-10000-11-2i3i3−i3−i3-111i3i3−i3−i32-21002-2002i−2ii3i3−i3−i3-1-111−3−333−i−iii-100-111i3i3−i3−i32i2i−2i−2i00002-2i3i3−i3−i3-1-111002i−2i−3−333−i−iii00−i−iii−3−333000000000000000000
χ5022-2-200-122-11i3i3−i3−i32-22-2-2-21-12-10000-11-2i3i3−i3−i3-111i3i3−i3−i32-21002-200−2i2ii3i3−i3−i3-1-11133−3−3ii−i−i-100-111i3i3−i3−i3−2i−2i2i2i00002-2i3i3−i3−i3-1-11100−2i2i33−3−3ii−i−i00ii−i−i33−3−3000000000000000000
χ5122-2-200-122-11i3i3−i3−i32-22-2-2-21-12-10000-11-2i3i3−i3−i3-111i3i3−i3−i32-2100-22002i−2i−i3−i3i3i311-1-1−3−333−i−iii-100-111i3i3−i3−i3−2i−2i2i2i0000-22−i3−i3i3i311-1-1002i−2i−3−333−i−iii00ii−i−i33−3−3000000000000000000
χ5222-2-200-122-11i3i3−i3−i32-22-2-2-21-12-10000-11-2i3i3−i3−i3-111i3i3−i3−i32-2100-2200−2i2i−i3−i3i3i311-1-133−3−3ii−i−i-100-111i3i3−i3−i32i2i−2i−2i0000-22−i3−i3i3i311-1-100−2i2i33−3−3ii−i−i00−i−iii−3−333000000000000000000
χ532-22-200222-220000-22-22-2-2-22220000-22-20000-22-20000-22-22-2002i−2i002-22-200002i−2i2i−2i0000200-22-200002i−2i2i−2i002-2002-22-200002i−2i002i−2i2i−2i0000002i−2i2i−2i0000000000000000000000
χ542-22-200222-220000-22-22-2-2-22220000-22-20000-22-20000-22-22-200−2i2i002-22-20000−2i2i−2i2i0000200-22-20000−2i2i−2i2i002-2002-22-20000−2i2i00−2i2i−2i2i000000−2i2i−2i2i0000000000000000000000
χ552-22-200222-220000-22-22-2-2-22220000-22-20000-22-20000-22-2-22002i−2i00-22-2200002i−2i2i−2i0000200-22-20000−2i2i−2i2i00-2200-22-2200002i−2i002i−2i2i−2i000000−2i2i−2i2i0000000000000000000000
χ562-22-200222-220000-22-22-2-2-22220000-22-20000-22-20000-22-2-2200−2i2i00-22-220000−2i2i−2i2i0000200-22-200002i−2i2i−2i00-2200-22-220000−2i2i00−2i2i−2i2i0000002i−2i2i−2i0000000000000000000000
χ572-22-200-1221-1−i3i3−i3i3-22-22-2-21-12-100001-1-2−i3i3−i3i31-11−i3i3−i3i3-2212-2002i−2i00-11-11−i3i3−i3i3−ii−ii3−33−3-1001-11−i3i3−i3i32i−2i2i−2i002-200-11-11−i3i3−i3i32i−2i00−ii−ii3−33−300−ii−ii3−33−3000000000000000000
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χ13188-8-8008-4-48-80000-44-4444-8-42-40000-44-20000-44400002-240000000000000000000000002002-2-200000000000000000000000000000000000000000000000000000000000000
χ13288-8-800-4-4-4-44−4i3−4i34i34i3-44-4444422200002-2-22i32i3−2i3−2i32-2-22i32i3−2i3−2i32-2-2000000000000000000000000-100-111−i3−i3i3i30000000000000000000000000000000000000000000000000000000000
χ13388-8-800-4-4-4-444i34i3−4i3−4i3-44-4444422200002-2-2−2i3−2i32i32i32-2-2−2i3−2i32i32i32-2-2000000000000000000000000-100-111i3i3−i3−i30000000000000000000000000000000000000000000000000000000000
χ1348-88-8008-4-4-8800004-44-444-8-42-400004-4-200004-440000-224000000000000000000000000200-22-200000000000000000000000000000000000000000000000000000000000000
χ1358-88-800-4-4-44-4−4i34i3−4i34i34-44-44442220000-22-22i3−2i32i3−2i3-22-22i3−2i32i3−2i3-22-2000000000000000000000000-1001-11−i3i3−i3i30000000000000000000000000000000000000000000000000000000000
χ1368-88-800-4-4-44-44i3−4i34i3−4i34-44-44442220000-22-2−2i32i3−2i32i3-22-2−2i32i3−2i32i3-22-2000000000000000000000000-1001-11i3−i3i3−i30000000000000000000000000000000000000000000000000000000000
χ1378-8-888-8-4-4-444-444-44444-4-4-4222-44-44-2-222-2-22-2-222-2-22-2-22000000000000000000000000-12-211-1-111-10000000000000000000000000000000000000000000000000000000000
χ1388-8-88-88-4-4-4444-4-444444-4-4-42224-44-4-2-22-222-2-2-22-222-2-2-22000000000000000000000000-1-2211-11-1-110000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).