Finite Group Databasebeta

← Group #13161036

Character table — Group #13161036

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222222222222222222224444444444444444444444444466668888888888888888888888888888888888812121212121212121212121212121212181818182424242424242424243636363654545454727272216
order1222333334466666666666666633336666666666661212121212121212121288882666666666666666666666666661212121212121212242424242424242424242424242424248888412121212121212122424242422442664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-11
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111111-1
χ9222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000022-2-20000
χ10222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000-2-2220000
χ1122222222-1222222-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-10000222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222000000000-1-1-1-100002-1-10
χ1222222222-1222222-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-10000222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-200000000011110000-2110
χ1322222222-1222222-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-10000-2-2-2-2-2-2-2-2-2111111111111111111-1-1-1-1-1-1-1-100000000000000002222000000000-1-1-1-10000-2110
χ1422222222-1222222-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-10000-2-2-2-2-2-2-2-2-2111111111111111111-1-1-1-1-1-1-1-10000000000000000-2-2-2-2000000000111100002-1-10
χ1522222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-122222222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222-1-1-1-1-1-1000000000000
χ1622222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-122222-2-2-2111111-2-2-2-2-2-211111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2111111000000000000
χ1722222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-12-2-2-2-2222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-21111111111110000-2-2-2111111000000000000
χ1822222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-12-2-2-2-2-2-2-2111111-2-2-2-2-2-211111111111122-1-1-1-1-1-1-2-2-2-21111111111110000222-1-1-1-1-1-1000000000000
χ192222-12-1-1222-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-12-1-1222222-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002-1-122-1-1-1-1000000000000
χ202222-12-1-1222-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-12-1-122222-211-2-21111-2-21111-2-2-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-211-2-21111000000000000
χ212222-12-1-1222-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-12-1-12-2-2-2-22-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111110000-211-2-21111000000000000
χ222222-12-1-1222-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-12-1-12-2-2-2-2-211-2-21111-2-21111-2-2-2-211111111-1-122-1-1-1-11111-2-2-2-21111111100002-1-122-1-1-1-1000000000000
χ232222-1-12-1222-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-1-12-12-1-12-1222222-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-100002-1-1-1-122-1-1000000000000
χ242222-1-12-1222-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-1-12-12-1-12-122222-21111-2-211-2-211111111-2-2-2-21111-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000-21111-2-211000000000000
χ252222-1-12-1222-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-1-12-12-1-12-12-2-2-2-22-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-111111111-2-2-2-211110000-21111-2-211000000000000
χ262222-1-12-1222-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-1-12-12-1-12-12-2-2-2-2-21111-2-211-2-211111111-2-2-2-21111-1-1-1-122-1-111111111-2-2-2-2111100002-1-1-1-122-1-1000000000000
χ272222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-12222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222200002-1-1-1-1-1-122000000000000
χ282222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1222222-2111111-2-2-2-2111111111111-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000-2111111-2-2000000000000
χ292222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-122-2-2-2-22-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122111111111111-2-2-2-20000-2111111-2-2000000000000
χ302222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-122-2-2-2-2-2111111-2-2-2-2111111111111-2-2-2-2-1-1-1-1-1-122111111111111-2-2-2-200002-1-1-1-1-1-122000000000000
χ3122-2-2222220022222-2-2-2-2-2-2-2-2-2-222222-22-22-22-2-2-2-2-20000000000−i2−i2i2i200000000000000000000000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i222−2−200000000022−2−2002i−2i0000
χ3222-2-2222220022222-2-2-2-2-2-2-2-2-2-222222-22-22-22-2-2-2-2-20000000000−i2−i2i2i200000000000000000000000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−2−222000000000−2−22200−2i2i0000
χ3322-2-2222220022222-2-2-2-2-2-2-2-2-2-222222-22-22-22-2-2-2-2-20000000000i2i2−i2−i200000000000000000000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i222−2−200000000022−2−200−2i2i0000
χ3422-2-2222220022222-2-2-2-2-2-2-2-2-2-222222-22-22-22-2-2-2-2-20000000000i2i2−i2−i200000000000000000000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2−222000000000−2−222002i−2i0000
χ352-22-2222222-2-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-2222222222-2-2-2-2-22i−2i2i−2i0000000000000000000000000002-22-22-22-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000
χ362-22-2222222-2-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2−2i2i−2i2i0000000000000000000000000002-22-22-22-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000
χ372-22-222222-22-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2222220000000000000000000000000000000-22-22-22-2200000000000000002-22-20000000002-22-200000000
χ382-22-222222-22-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2222220000000000000000000000000000000-22-22-22-220000000000000000-22-22000000000-22-2200000000
χ392-22-22222-1-22-2-2-2-2112222-1-2-2-2-2-1-1-1-111111111-1-1-1-1-2-2-2-212222-10000000000000−i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i31-11-11-11-100000000000000002-22-2000000000-11-1100000−i3i30
χ402-22-22222-1-22-2-2-2-2112222-1-2-2-2-2-1-1-1-111111111-1-1-1-1-2-2-2-212222-10000000000000−i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i31-11-11-11-10000000000000000-22-220000000001-11-100000i3−i30
χ412-22-22222-1-22-2-2-2-2112222-1-2-2-2-2-1-1-1-111111111-1-1-1-1-2-2-2-212222-10000000000000i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i31-11-11-11-100000000000000002-22-2000000000-11-1100000i3−i30
χ422-22-22222-1-22-2-2-2-2112222-1-2-2-2-2-1-1-1-111111111-1-1-1-1-2-2-2-212222-10000000000000i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i31-11-11-11-10000000000000000-22-220000000001-11-100000−i3i30
χ432-22-22-1-1-122-2-2111-2-22-1-1-12-21112-1-1-1-2-21111112-1-1-12-1-1-12-2111-22i−2i2i−2i000−i3i3−i3i3−i3i3000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-2-11-11-112i−2i2i−2i−ii−ii−ii−ii−ii−ii00000003−33−33−3000000000000
χ442-22-22-1-1-122-2-2111-2-22-1-1-12-21112-1-1-1-2-21111112-1-1-12-1-1-12-2111-22i−2i2i−2i000i3−i3i3−i3i3−i3000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32-2-11-11-112i−2i2i−2i−ii−ii−ii−ii−ii−ii0000000−33−33−33000000000000
χ452-22-22-1-1-122-2-2111-2-22-1-1-12-21112-1-1-1-2-21111112-1-1-12-1-1-12-2111-2−2i2i−2i2i000−i3i3−i3i3−i3i3000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-2-11-11-11−2i2i−2i2ii−ii−ii−ii−ii−ii−i0000000−33−33−33000000000000
χ462-22-22-1-1-122-2-2111-2-22-1-1-12-21112-1-1-1-2-21111112-1-1-12-1-1-12-2111-2−2i2i−2i2i000i3−i3i3−i3i3−i3000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32-2-11-11-11−2i2i−2i2ii−ii−ii−ii−ii−ii−i00000003−33−33−3000000000000
χ472-22-2-12-1-122-21-211-2-2-12-1-121-211-12-1-111-2-21111-12-1-1-12-1-121-211-22i−2i2i−2i0−i3i300−i3i3i3−i300−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i3-112-2-11-11−ii−ii2i−2i2i−2i−ii−ii−ii−ii000003−3003−3−33000000000000
χ482-22-2-12-1-122-21-211-2-2-12-1-121-211-12-1-111-2-21111-12-1-1-12-1-121-211-22i−2i2i−2i0i3−i300i3−i3−i3i300i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i3-112-2-11-11−ii−ii2i−2i2i−2i−ii−ii−ii−ii00000−3300−333−3000000000000
χ492-22-2-12-1-122-21-211-2-2-12-1-121-211-12-1-111-2-21111-12-1-1-12-1-121-211-2−2i2i−2i2i0−i3i300−i3i3i3−i300−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i3-112-2-11-11i−ii−i−2i2i−2i2ii−ii−ii−ii−i00000−3300−333−3000000000000
χ502-22-2-12-1-122-21-211-2-2-12-1-121-211-12-1-111-2-21111-12-1-1-12-1-121-211-2−2i2i−2i2i0i3−i300i3−i3−i3i300i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i3-112-2-11-11i−ii−i−2i2i−2i2ii−ii−ii−ii−i000003−3003−3−33000000000000
χ512-22-2-1-12-122-211-21-2-2-1-12-1211-21-1-12-11111-2-211-1-12-1-1-12-1211-21-22i−2i2i−2i0−i3i3i3−i300−i3i300−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i3-11-112-2-11−ii−ii−ii−ii2i−2i2i−2i−ii−ii000003−3−33003−3000000000000
χ522-22-2-1-12-122-211-21-2-2-1-12-1211-21-1-12-11111-2-211-1-12-1-1-12-1211-21-22i−2i2i−2i0i3−i3−i3i300i3−i300i3−i3i3−i3−i3i3−i3i30000i3−i3i3−i3-11-112-2-11−ii−ii−ii−ii2i−2i2i−2i−ii−ii00000−333−300−33000000000000
χ532-22-2-1-12-122-211-21-2-2-1-12-1211-21-1-12-11111-2-211-1-12-1-1-12-1211-21-2−2i2i−2i2i0−i3i3i3−i300−i3i300−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i3-11-112-2-11i−ii−ii−ii−i−2i2i−2i2ii−ii−i00000−333−300−33000000000000
χ542-22-2-1-12-122-211-21-2-2-1-12-1211-21-1-12-11111-2-211-1-12-1-1-12-1211-21-2−2i2i−2i2i0i3−i3−i3i300i3−i300i3−i3i3−i3−i3i3−i3i30000i3−i3i3−i3-11-112-2-11i−ii−ii−ii−i−2i2i−2i2ii−ii−i000003−3−33003−3000000000000
χ552-22-2-1-1-1222-2111-2-2-2-1-1-122111-2-1-1-12111111-2-2-1-1-12-1-1-122111-2-22i−2i2i−2i0−i3i3−i3i3i3−i30000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000-11-11-112-2−ii−ii−ii−ii−ii−ii2i−2i2i−2i000003−33−3−3300000000000000
χ562-22-2-1-1-1222-2111-2-2-2-1-1-122111-2-1-1-12111111-2-2-1-1-12-1-1-122111-2-22i−2i2i−2i0i3−i3i3−i3−i3i30000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i30000-11-11-112-2−ii−ii−ii−ii−ii−ii2i−2i2i−2i00000−33−333−300000000000000
χ572-22-2-1-1-1222-2111-2-2-2-1-1-122111-2-1-1-12111111-2-2-1-1-12-1-1-122111-2-2−2i2i−2i2i0−i3i3−i3i3i3−i30000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000-11-11-112-2i−ii−ii−ii−ii−ii−i−2i2i−2i2i00000−33−333−300000000000000
χ582-22-2-1-1-1222-2111-2-2-2-1-1-122111-2-1-1-12111111-2-2-1-1-12-1-1-122111-2-2−2i2i−2i2i0i3−i3i3−i3−i3i30000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i30000-11-11-112-2i−ii−ii−ii−ii−ii−i−2i2i−2i2i000003−33−3−3300000000000000
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χ1328-8-88-4-4-48-400444-84-4444-84-4-4-48222-4-22-22-224-4-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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