Finite Group Databasebeta

← Group #13159401

Character table — Group #13159401

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1111222222222222222222222244444444444444444444444444444444888888888888888888888888888888881212121212121212121212121212121212121212181818181818181824242424242424243636363636363636108108108108
order12223333344666666666666666333344666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212124488242424242424242424242424242424244444121212121212121212121212441212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111-1-1
χ6111111111111111111111111111111-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-111
χ7111111111111111111111111111111-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111
χ8111111111111111111111111111111-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ91-1-11111111-11111-1-1-1-1-1-1-1-1-1-111111i−i-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−i1-11111iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i1-111111111-1-1-1-1-1-1-1-1i−ii−iii−i−iiiii−i−i−i−i1-1i−i11-1-11-1i−i
χ101-1-11111111-11111-1-1-1-1-1-1-1-1-1-111111i−i-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−i1-11111iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−iiiiiii−i−i−i−i-11−ii-1-111-11−ii
χ111-1-11111111-11111-1-1-1-1-1-1-1-1-1-111111i−i-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−i1-11111iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-11-1-1-1-1-1-1-1-111111111i−ii−iii−i−i−i−i−i−iiiii1-1i−i11-1-1-11−ii
χ121-1-11111111-11111-1-1-1-1-1-1-1-1-1-111111i−i-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−i1-11111iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-11-1-1-1-1-1-1-1-111111111−ii−ii−i−iii−i−i−i−iiiii-11−ii-1-1111-1i−i
χ131-1-11111111-11111-1-1-1-1-1-1-1-1-1-111111−ii-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii1-11111−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-11-1-1-1-1-1-1-1-111111111i−ii−iii−i−iiiii−i−i−i−i-11i−i-1-1111-1−ii
χ141-1-11111111-11111-1-1-1-1-1-1-1-1-1-111111−ii-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii1-11111−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-11-1-1-1-1-1-1-1-111111111−ii−ii−i−iiiiiii−i−i−i−i1-1−ii11-1-1-11i−i
χ151-1-11111111-11111-1-1-1-1-1-1-1-1-1-111111−ii-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii1-11111−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii1-111111111-1-1-1-1-1-1-1-1i−ii−iii−i−i−i−i−i−iiiii-11i−i-1-111-11i−i
χ161-1-11111111-11111-1-1-1-1-1-1-1-1-1-111111−ii-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii1-11111−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−i−i−iiiii1-1−ii11-1-11-1−ii
χ17222222222-2-2222222222222222222200222222222222-2-2-2-20000-2-2-2-2-2-200000000-2-2-2-2-2-2-2-200000000000000000000000000000000000022-2-2-2-2-2-200000000002200000000
χ18222222222-2-2222222222222222222200222222222222-2-2-2-20000-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-22222220000000000-2-200000000
χ1922222222-122222222222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002222-1-1-1-10000000022-1-1-1-1-1-10000
χ2022222222-122222222222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-2111100000000-2-21111110000
χ2122222222-122222222222222-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-122221111-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000000002222-1-1-1-100000000-2-2-1-111110000
χ2222222222-122222222222222-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-122221111-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000000000-2-2-2-21111000000002211-1-1-1-10000
χ2322222222-1-2-2222222222222-1-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2−i3i3−i3i311-2-2-2-20000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i30000000000000000000022-2-211110000000000-1-1−i3i3−i3i30000
χ2422222222-1-2-2222222222222-1-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2−i3i3−i3i311-2-2-2-20000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i300000000000000000000-2-222-1-1-1-1000000000011i3−i3i3−i30000
χ2522222222-1-2-2222222222222-1-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2i3−i3i3−i311-2-2-2-20000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i30000000000000000000022-2-211110000000000-1-1i3−i3i3−i30000
χ2622222222-1-2-2222222222222-1-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2i3−i3i3−i311-2-2-2-20000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i300000000000000000000-2-222-1-1-1-1000000000011−i3i3−i3i30000
χ2722222-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12222222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1000000002-1-1-12-1-1-1000000000000
χ2822222-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12222222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-2-2-2111111-2-211111100000000-2111-2111000000000000
χ2922222-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-1-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-2222-1-1-1-2111-21112-1-1-12-1-1-1-2111-2111-2111-211122-2-2-2-2111111-2-2111111000000002-1-1-12-1-1-1000000000000
χ3022222-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-1-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-2222-1-1-1-2111-21112-1-1-12-1-1-1-2111-2111-2111-2111-2-22222-1-1-1-1-1-122-1-1-1-1-1-100000000-2111-2111000000000000
χ312222-12-1-1222-12-1-1-12-1-1-12-1-1222-12-1-122-12-1-1-12-1-1-12-1-1-12-1-1222222-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-100000000-12-1-1-12-1-1000000000000
χ322222-12-1-1222-12-1-1-12-1-1-12-1-1222-12-1-122-12-1-1-12-1-1-12-1-1-12-1-1222222-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-2-2-2-211-2-2111111-2-21111000000001-2111-211000000000000
χ332222-12-1-1222-12-1-1-12-1-1-12-1-1222-12-1-1-2-2-12-1-1-12-1-1-12-1-1-12-1-1-2-2-2-222-12-1-11-2111-211-12-1-1-12-1-11-2111-2111-2111-21122-2-211-2-2111111-2-2111100000000-12-1-1-12-1-1000000000000
χ342222-12-1-1222-12-1-1-12-1-1-12-1-1222-12-1-1-2-2-12-1-1-12-1-1-12-1-1-12-1-1-2-2-2-222-12-1-11-2111-211-12-1-1-12-1-11-2111-2111-2111-211-2-222-1-122-1-1-1-1-1-122-1-1-1-1000000001-2111-211000000000000
χ352222-1-12-1222-1-12-1-1-12-1-1-12-1222-1-12-122-1-12-1-1-12-1-1-12-1-1-12-1222222-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-100000000-1-12-1-1-12-1000000000000
χ362222-1-12-1222-1-12-1-1-12-1-1-12-1222-1-12-122-1-12-1-1-12-1-1-12-1-1-12-1222222-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-2-2-2-21111-2-2111111-2-2110000000011-2111-21000000000000
χ372222-1-12-1222-1-12-1-1-12-1-1-12-1222-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-12-1-2-2-2-222-1-12-111-2111-21-1-12-1-1-12-111-2111-2111-2111-2122-2-21111-2-2111111-2-21100000000-1-12-1-1-12-1000000000000
χ382222-1-12-1222-1-12-1-1-12-1-1-12-1222-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-12-1-2-2-2-222-1-12-111-2111-21-1-12-1-1-12-111-2111-2111-2111-21-2-222-1-1-1-122-1-1-1-1-1-122-1-10000000011-2111-21000000000000
χ392222-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12222222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-12200000000-1-1-12-1-1-12000000000000
χ402222-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12222222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-2-2-2-2111111-2-2111111-2-200000000111-2111-2000000000000
χ412222-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-12-2-2-2-222-1-1-12111-2111-2-1-1-12-1-1-12111-2111-2111-2111-222-2-2111111-2-2111111-2-200000000-1-1-12-1-1-12000000000000
χ422222-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-12-2-2-2-222-1-1-12111-2111-2-1-1-12-1-1-12111-2111-2111-2111-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12200000000111-2111-2000000000000
χ432-2-2222222-222222-2-2-2-2-2-2-2-2-2-22222200-2-2-2-22222-2-2-2-222220000-22-2-2-2-200000000-2-2-2-222220000000000000000000000000000000000002i−2i−2i2i−2i−2i2i2i00000000002i−2i00000000
χ442-2-2222222-222222-2-2-2-2-2-2-2-2-2-22222200-2-2-2-22222-2-2-2-222220000-22-2-2-2-200000000-2-2-2-22222000000000000000000000000000000000000−2i2i2i−2i2i2i−2i−2i0000000000−2i2i00000000
χ452-2-222222-12-22222-2-2-2-2-2-2-2-211-1-1-1-1-12i−2i1111-1-1-1-11111-2-2-2-2−i−iii-1122222i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii000000000000000000002i−2i2i−2i−i−iii000000002-2−ii-1-1110000
χ462-2-222222-12-22222-2-2-2-2-2-2-2-211-1-1-1-1-12i−2i1111-1-1-1-11111-2-2-2-2−i−iii-1122222i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000−2i2i−2i2iii−i−i00000000-22i−i11-1-10000
χ472-2-222222-12-22222-2-2-2-2-2-2-2-211-1-1-1-1-1−2i2i1111-1-1-1-11111-2-2-2-2ii−i−i-112222−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i000000000000000000002i−2i2i−2i−i−iii00000000-22−ii11-1-10000
χ482-2-222222-12-22222-2-2-2-2-2-2-2-211-1-1-1-1-1−2i2i1111-1-1-1-11111-2-2-2-2ii−i−i-112222−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i00000000000000000000−2i2i−2i2iii−i−i000000002-2i−i-1-1110000
χ492-2-222222-1-222222-2-2-2-2-2-2-2-211-1-1-1-1-1001111-1-1-1-1111122223−3−331-1-2-2-2-2000000001111-1-1-1-13333−3−3−3−3−3−3−3−33333000000000000000000002i−2i−2i2iii−i−i0000000000−ii−i3i3i3−i30000
χ502-2-222222-1-222222-2-2-2-2-2-2-2-211-1-1-1-1-1001111-1-1-1-1111122223−3−331-1-2-2-2-2000000001111-1-1-1-13333−3−3−3−3−3−3−3−3333300000000000000000000−2i2i2i−2i−i−iii0000000000i−ii3−i3−i3i30000
χ512-2-222222-1-222222-2-2-2-2-2-2-2-211-1-1-1-1-1001111-1-1-1-111112222−333−31-1-2-2-2-2000000001111-1-1-1-1−3−3−3−333333333−3−3−3−3000000000000000000002i−2i−2i2iii−i−i0000000000−iii3−i3−i3i30000
χ522-2-222222-1-222222-2-2-2-2-2-2-2-211-1-1-1-1-1001111-1-1-1-111112222−333−31-1-2-2-2-2000000001111-1-1-1-1−3−3−3−333333333−3−3−3−300000000000000000000−2i2i2i−2i−i−iii0000000000i−i−i3i3i3−i30000
χ532-2-222-1-1-122-22-1-1-1-2111-2111-2-222-1-1-12i−2i-21112-1-1-1-2111-21112i2i−2i−2i2-22-1-1-12i−i−i−i−2iiii2-1-1-1-21112i−i−i−i2i−i−i−i−2iiii−2iiii2i−2i2-222-1-1-1-1-1-1-2-2111111000000002i−i−i−i−2iiii000000000000
χ542-2-222-1-1-122-22-1-1-1-2111-2111-2-222-1-1-12i−2i-21112-1-1-1-2111-21112i2i−2i−2i2-22-1-1-12i−i−i−i−2iiii2-1-1-1-21112i−i−i−i2i−i−i−i−2iiii−2iiii−2i2i-22-2-211111122-1-1-1-1-1-100000000−2iiii2i−i−i−i000000000000
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χ13488-8-8-4-4-48-400444-8-4-4-48444-84-44222-400-2-2-24-2-2-24222-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-88-88-4-4-4-400-8444-84448-4-4-4-444-422200-42224-2-2-24-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-88-8-48-4-4-4004-8444-844-48-4-4-4442-422002-422-24-2-2-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-88-8-4-48-4-40044-8444-84-4-48-4-44422-420022-42-2-24-2-2-24-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-88-8-4-4-48-400444-8444-8-4-4-48-444222-400222-4-2-2-24-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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