Finite Group Databasebeta

← Group #13140073

Character table — Group #13140073

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444446666666666666666121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636363636363636363636363636363636363636
order1222222236666666441212121233666666666666663666666612121212121212121212121212121212444444444444444444121212121212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ71111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ91-1-1111-1-1111-1-1-11-1i−iii−i−i111111-1-1-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i11-1-111-1-111-1-1i−ii−ii−i11-1-1ii−i−i11-1-111-1-1ii−i−iii−i−i
χ101-1-1111-1-1111-1-1-11-1i−iii−i−i111111-1-1-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i11-1-1-1-111-1-111i−i−ii−ii-1-111−i−iii11-1-1-1-111−i−iiiii−i−i
χ111-1-1111-1-1111-1-1-11-1i−iii−i−i111111-1-1-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-1-11111-1-1-1-111−iii−i−ii11-1-1ii−i−i-1-111-1-111−i−iii−i−iii
χ121-1-1111-1-1111-1-1-11-1i−iii−i−i111111-1-1-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-1-111-1-11111-1-1−ii−iii−i-1-111−i−iii-1-11111-1-1ii−i−i−i−iii
χ131-1-1111-1-1111-1-1-11-1−ii−i−iii111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii11-1-111-1-111-1-1−ii−ii−ii11-1-1−i−iii11-1-111-1-1−i−iii−i−iii
χ141-1-1111-1-1111-1-1-11-1−ii−i−iii111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii11-1-1-1-111-1-111−iii−ii−i-1-111ii−i−i11-1-1-1-111ii−i−i−i−iii
χ151-1-1111-1-1111-1-1-11-1−ii−i−iii111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-1-11111-1-1-1-111i−i−iii−i11-1-1−i−iii-1-111-1-111ii−i−iii−i−i
χ161-1-1111-1-1111-1-1-11-1−ii−i−iii111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-1-111-1-11111-1-1i−ii−i−ii-1-111ii−i−i-1-11111-1-1−i−iiiii−i−i
χ1722222222222222222222222-122-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000002222000022000000000000-1-1-1-1-1-1-1-10000
χ1822222222222222222222222-122-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-2-2-2-20000-2-2000000000000111111110000
χ192222222222222222222222-12-1-122-1-1-1222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000000022000000000000-1-1-1-100000000-1-1-1-1
χ202222222222222222222222-12-1-122-1-1-1222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-20000000000001111000000001111
χ212222222222222222-2-2-2-2-2-22-122-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-2111111110000000022220000-2-2000000000000-1-1-1-111110000
χ222222222222222222-2-2-2-2-2-22-122-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-21111111100000000-2-2-2-20000220000000000001111-1-1-1-10000
χ232222222222222222-2-2-2-2-2-2-12-1-122-1-1-1222-122-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111222200000000-2-2000000000000-1-1-1-1000000001111
χ242222222222222222-2-2-2-2-2-2-12-1-122-1-1-1222-122-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-20000000022000000000000111100000000-1-1-1-1
χ252222-2-2-2-222-222-2-2-200000022-2-22-222-222-22-2-2-222-2-222-2-200000000000000002-22-200000000000000000000002-22-2000000000000
χ262222-2-2-2-222-222-2-2-200000022-2-22-222-222-22-2-2-222-2-222-2-20000000000000000-22-220000000000000000000000-22-22000000000000
χ272222-2-2-2-222-222-2-2-2000000-12112-2-1-1122-2-1-2-21-1-111-1-11100003−33−333−3−333−3−32-22-20000000000000000000000-11-11000000003−33−3
χ282222-2-2-2-222-222-2-2-2000000-12112-2-1-1122-2-1-2-21-1-111-1-11100003−33−333−3−333−3−3-22-2200000000000000000000001-11-100000000−33−33
χ292222-2-2-2-222-222-2-2-2000000-12112-2-1-1122-2-1-2-21-1-111-1-1110000−33−33−3−333−3−3332-22-20000000000000000000000-11-1100000000−33−33
χ302222-2-2-2-222-222-2-2-2000000-12112-2-1-1122-2-1-2-21-1-111-1-1110000−33−33−3−333−3−333-22-2200000000000000000000001-11-1000000003−33−3
χ3122-2-22-22-22-222-22-2-2000000222-2-2-22-2-22-22-22-222-22-22-2-22000000000000000000002i−2i2i−2i00000000002i−2i2i−2i00000000000000000000
χ3222-2-22-22-22-222-22-2-2000000222-2-2-22-2-22-22-22-222-22-22-2-2200000000000000000000−2i2i−2i2i0000000000−2i2i−2i2i00000000000000000000
χ3322-2-2-22-222-2-22-2-22200000022-22-222-222-2-2-2-22-22-2-222-22-20000000000000000000000002i−2i2i−2i0000000000000000002i−2i2i−2i00000000
χ3422-2-2-22-222-2-22-2-22200000022-22-222-222-2-2-2-22-22-2-222-22-2000000000000000000000000−2i2i−2i2i000000000000000000−2i2i−2i2i00000000
χ3522-2-2-22-222-2-22-2-2220000002-1-221-12-22-111-21-1-2-111-1-11-113−33−300003−33−33−33−3000000002i−2i2i−2i000000000000000000−ii−ii−i3i3−i3i30000
χ3622-2-2-22-222-2-22-2-2220000002-1-221-12-22-111-21-1-2-111-1-11-113−33−300003−33−33−33−300000000−2i2i−2i2i000000000000000000i−ii−ii3−i3i3−i30000
χ3722-2-2-22-222-2-22-2-2220000002-1-221-12-22-111-21-1-2-111-1-11-11−33−330000−33−33−33−33000000002i−2i2i−2i000000000000000000−ii−iii3−i3i3−i30000
χ3822-2-2-22-222-2-22-2-2220000002-1-221-12-22-111-21-1-2-111-1-11-11−33−330000−33−33−33−3300000000−2i2i−2i2i000000000000000000i−ii−i−i3i3−i3i30000
χ392-22-22-2-222-22-22-2-22000000222-2-2-2-222-22-2-222-22-22-2-222-2000000000000000000002i−2i−2i2i00000000002i−2i−2i2i00000000000000000000
χ402-22-22-2-222-22-22-2-22000000222-2-2-2-222-22-2-222-22-22-2-222-200000000000000000000−2i2i2i−2i0000000000−2i2i2i−2i00000000000000000000
χ412-22-2-222-22-2-2-2222-200000022-22-22-22-2-222-2-2-222-2-22-22-220000000000000000000000002i−2i−2i2i0000000000000000002i−2i−2i2i00000000
χ422-22-2-222-22-2-2-2222-200000022-22-22-22-2-222-2-2-222-2-22-22-22000000000000000000000000−2i2i2i−2i000000000000000000−2i2i2i−2i00000000
χ432-22-2-222-22-2-2-2222-20000002-1-221-1-22-21-1-1-2112-111-11-11-1−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i3000000002i−2i−2i2i000000000000000000−iii−i−333−30000
χ442-22-2-222-22-2-2-2222-20000002-1-221-1-22-21-1-1-2112-111-11-11-1−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i300000000−2i2i2i−2i000000000000000000i−i−ii3−3−330000
χ452-22-2-222-22-2-2-2222-20000002-1-221-1-22-21-1-1-2112-111-11-11-1i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i3000000002i−2i−2i2i000000000000000000−iii−i3−3−330000
χ462-22-2-222-22-2-2-2222-20000002-1-221-1-22-21-1-1-2112-111-11-11-1i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i300000000−2i2i2i−2i000000000000000000i−i−ii−333−30000
χ472-2-2222-2-2222-2-2-22-22i−2i2i2i−2i−2i2-122-1-1-2-2-21112-11-2-1-1-1-11111−i−iii2i2i−2i−2i−i−i−i−iiiii0000000022-2-200002i−2i000000000000-1-111−i−iii0000
χ482-2-2222-2-2222-2-2-22-22i−2i2i2i−2i−2i2-122-1-1-2-2-21112-11-2-1-1-1-11111−i−iii2i2i−2i−2i−i−i−i−iiiii00000000-2-2220000−2i2i00000000000011-1-1ii−i−i0000
χ492-2-2222-2-2222-2-2-22-22i−2i2i2i−2i−2i-12-1-122111-2-2-2-12-21-1-1-1-111112i2i−2i−2i−i−iii−i−i−i−iiiii22-2-2000000002i−2i000000000000-1-11100000000−i−iii
χ502-2-2222-2-2222-2-2-22-22i−2i2i2i−2i−2i-12-1-122111-2-2-2-12-21-1-1-1-111112i2i−2i−2i−i−iii−i−i−i−iiiii-2-22200000000−2i2i00000000000011-1-100000000ii−i−i
χ512-2-2222-2-2222-2-2-22-2−2i2i−2i−2i2i2i2-122-1-1-2-2-21112-11-2-1-1-1-11111ii−i−i−2i−2i2i2iiiii−i−i−i−i0000000022-2-20000−2i2i000000000000-1-111ii−i−i0000
χ522-2-2222-2-2222-2-2-22-2−2i2i−2i−2i2i2i2-122-1-1-2-2-21112-11-2-1-1-1-11111ii−i−i−2i−2i2i2iiiii−i−i−i−i00000000-2-22200002i−2i00000000000011-1-1−i−iii0000
χ532-2-2222-2-2222-2-2-22-2−2i2i−2i−2i2i2i-12-1-122111-2-2-2-12-21-1-1-1-11111−2i−2i2i2iii−i−iiiii−i−i−i−i22-2-200000000−2i2i000000000000-1-11100000000ii−i−i
χ542-2-2222-2-2222-2-2-22-2−2i2i−2i−2i2i2i-12-1-122111-2-2-2-12-21-1-1-1-11111−2i−2i2i2iii−i−iiiii−i−i−i−i-2-222000000002i−2i00000000000011-1-100000000−i−iii
χ552-2-22-2-22222-2-2-22-2200000022-2-22-2-2-22-2-222-22222-2-2-2-22200000000000000002-2-2200000000000000000000002-2-22000000000000
χ562-2-22-2-22222-2-2-22-2200000022-2-22-2-2-22-2-222-22222-2-2-2-2220000000000000000-222-20000000000000000000000-222-2000000000000
χ572-2-22-2-22222-2-2-22-22000000-12112-211-1-2-22-1-22-1-1-11111-1-10000−i3i3i3−i3−i3−i3i3i3i3i3−i3−i32-2-220000000000000000000000-111-100000000−i3i3i3−i3
χ582-2-22-2-22222-2-2-22-22000000-12112-211-1-2-22-1-22-1-1-11111-1-10000−i3i3i3−i3−i3−i3i3i3i3i3−i3−i3-222-200000000000000000000001-1-1100000000i3−i3−i3i3
χ592-2-22-2-22222-2-2-22-22000000-12112-211-1-2-22-1-22-1-1-11111-1-10000i3−i3−i3i3i3i3−i3−i3−i3−i3i3i32-2-220000000000000000000000-111-100000000i3−i3−i3i3
χ602-2-22-2-22222-2-2-22-22000000-12112-211-1-2-22-1-22-1-1-11111-1-10000i3−i3−i3i3i3i3−i3−i3−i3−i3i3i3-222-200000000000000000000001-1-1100000000−i3i3i3−i3
χ614444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000000000
χ624444444444444444-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
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χ814-4-4444-4-4444-4-4-44-4−4i4i−4i−4i4i4i-2-2-2-2-2-2222222-2-2221111-1-1-1-12i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii000000000000000000000000000000000000000000
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χ976-6-6666-6-6-3-3-3333-336i−6i−3i−3i3i3i0000000000000000000000000000000000000000000022-2-20000002i−2i00-1-111−i−iii0000000000000000
χ986-6-6666-6-6-3-3-3333-336i−6i−3i−3i3i3i00000000000000000000000000000000000000000000-2-222000000−2i2i0011-1-1ii−i−i0000000000000000
χ996-6-6666-6-6-3-3-3333-33−6i6i3i3i−3i−3i0000000000000000000000000000000000000000000022-2-2000000−2i2i00-1-111ii−i−i0000000000000000
χ1006-6-6666-6-6-3-3-3333-33−6i6i3i3i−3i−3i00000000000000000000000000000000000000000000-2-2220000002i−2i0011-1-1−i−iii0000000000000000
χ10112121212-12-12-12-12-6-66-6-66660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1021212-12-12-1212-1212-666-666-6-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-1212-12-121212-12-6666-6-6-660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-12-1212-12-121212-6-6666-66-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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