Finite Group Databasebeta

← Group #13160969

Character table — Group #13160969

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222222222222222222224444444444444444444444444466668888888888888888888888888888888888812121212121212121212121212121212181818182424242424242424243636363654545454727272216
order1222333334466666666666666633336666666666661212121212121212121288882666666666666666666666666661212121212121212242424242424242424242424242424242244412121212121212126612128888412124
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
χ9222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000-2-2-2-2-2-2-2-2000000000000000022-2-200000000022-2-200000000
χ10222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000-2-2-2-2-2-2-2-20000000000000000-2-222000000000-2-22200000000
χ1122222222-1222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-122220000222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222000000000-1-1-1-100002-1-10
χ1222222222-1222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-122220000222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-200000000011110000-2110
χ1322222222-1222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-122220000-2-2-2-2-2-2-2-2-2111111111111111111-1-1-1-1-1-1-1-100000000000000002222000000000-1-1-1-10000-2110
χ1422222222-1222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-122220000-2-2-2-2-2-2-2-2-2111111111111111111-1-1-1-1-1-1-1-10000000000000000-2-2-2-2000000000111100002-1-10
χ1522222222-1-2-22222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-20000000000000−i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i311111111000000000000000022-2-2000000000-1-11100000−i3i30
χ1622222222-1-2-22222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-20000000000000−i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3111111110000000000000000-2-22200000000011-1-100000i3−i30
χ1722222222-1-2-22222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-20000000000000i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i311111111000000000000000022-2-2000000000-1-11100000i3−i30
χ1822222222-1-2-22222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-20000000000000i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3111111110000000000000000-2-22200000000011-1-100000−i3i30
χ1922222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-12222222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222-1-1-1-1-1-1000000000000
χ2022222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-12222-2-2-2111111-2-2-2-2111111-2-211111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2111111000000000000
χ2122222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-2-2-2-2222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-21111111111110000-2-2-2111111000000000000
χ2222222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-2-2-2-2-2-2-2111111-2-2-2-2111111-2-211111122-1-1-1-1-1-1-2-2-2-21111111111110000222-1-1-1-1-1-1000000000000
χ232222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-1-122-1-1-1-1-12-1-1-12-1-122-12-1-122222-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002-1-122-1-1-1-1000000000000
χ242222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-1-122-1-1-1-1-12-1-1-12-1-122-12-1-12222-211-2-21111-2-211-2-2111111-2-21111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-211-2-21111000000000000
χ252222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-1-122-1-1-1-1-12-1-1-12-1-122-12-1-1-2-2-2-22-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111110000-211-2-21111000000000000
χ262222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-1-122-1-1-1-1-12-1-1-12-1-122-12-1-1-2-2-2-2-211-2-21111-2-211-2-2111111-2-21111-1-122-1-1-1-11111-2-2-2-21111111100002-1-122-1-1-1-1000000000000
χ272222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-1-1-1-122-1-1-1-12-1-1-12-122-1-12-122222-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-100002-1-1-1-122-1-1000000000000
χ282222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-1-1-1-122-1-1-1-12-1-1-12-122-1-12-12222-21111-2-211-2-21111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000-21111-2-211000000000000
χ292222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-1-1-1-122-1-1-1-12-1-1-12-122-1-12-1-2-2-2-22-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-111111111-2-2-2-211110000-21111-2-211000000000000
χ302222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-1-1-1-122-1-1-1-12-1-1-12-122-1-12-1-2-2-2-2-21111-2-211-2-21111-2-2111111-2-211-1-1-1-122-1-111111111-2-2-2-2111100002-1-1-1-122-1-1000000000000
χ312222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222200002-1-1-1-1-1-122000000000000
χ322222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-122222-2111111-2-2-2-2111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000-2111111-2-2000000000000
χ332222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-12-2-2-2-22-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122111111111111-2-2-2-20000-2111111-2-2000000000000
χ342222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-12-2-2-2-2-2111111-2-2-2-2111111-2-2111111-2-2-1-1-1-1-1-122111111111111-2-2-2-200002-1-1-1-1-1-122000000000000
χ3522-2-22222200-2-2-2-22-2-2-2-22222-2-222222-22-22-22-2-2-2-2-2000000000022−2−20000000000000000000000000000000000022−2−222−2−222−2−222−2−2002i−2i000000000002i−2i−i2−i2i2i20000
χ3622-2-22222200-2-2-2-22-2-2-2-22222-2-222222-22-22-22-2-2-2-2-2000000000022−2−20000000000000000000000000000000000022−2−222−2−222−2−222−2−200−2i2i00000000000−2i2ii2i2−i2−i20000
χ3722-2-22222200-2-2-2-22-2-2-2-22222-2-222222-22-22-22-2-2-2-2-20000000000−2−22200000000000000000000000000000000000−2−222−2−222−2−222−2−222002i−2i000000000002i−2ii2i2−i2−i20000
χ3822-2-22222200-2-2-2-22-2-2-2-22222-2-222222-22-22-22-2-2-2-2-20000000000−2−22200000000000000000000000000000000000−2−222−2−222−2−222−2−22200−2i2i00000000000−2i2i−i2−i2i2i20000
χ392-22-222222002222-2-2-2-2-2-2-2-2-2-222222-22-22-22-22-2-2-2-20000000000−i2i2−i2i200000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-2000000000002-200−i2i2−i2i20000
χ402-22-222222002222-2-2-2-2-2-2-2-2-2-222222-22-22-22-22-2-2-2-20000000000−i2i2−i2i200000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2-2200000000000-2200i2−i2i2−i20000
χ412-22-222222002222-2-2-2-2-2-2-2-2-2-222222-22-22-22-22-2-2-2-20000000000i2−i2i2−i200000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-2000000000002-200i2−i2i2−i20000
χ422-22-222222002222-2-2-2-2-2-2-2-2-2-222222-22-22-22-22-2-2-2-20000000000i2−i2i2−i200000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2-2200000000000-2200−i2i2−i2i20000
χ432-2-22222222-2-2-2-2-2-22222-2-2-2-22-22222-2-2-2-2-2-2-2-2222222222-2-2-2-2-22i−2i−2i2i0000000000000000000000000002-22-22-22-22i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000000
χ442-2-22222222-2-2-2-2-2-22222-2-2-2-22-22222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2−2i2i2i−2i0000000000000000000000000002-22-22-22-2−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000000
χ452-2-2222222-22-2-2-2-2-22222-2-2-2-22-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2222220000000000000000000000000000000-22-22-22-220000000000000000000000000000000002-2-220000
χ462-2-2222222-22-2-2-2-2-22222-2-2-2-22-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2222220000000000000000000000000000000-22-22-22-22000000000000000000000000000000000-222-20000
χ472-2-222-1-1-122-2-2111-22-1-1-1-21112-22-1-1-1-2-21111112-1-1-12-1-1-12-2-21112i−2i−2i2i000−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i300−i3i3−i3i3−i3i32-2-11-11-112i−2i−2i2i−iii−i−iii−i−iii−i00000003−33−33−3000000000000
χ482-2-222-1-1-122-2-2111-22-1-1-1-21112-22-1-1-1-2-21111112-1-1-12-1-1-12-2-21112i−2i−2i2i000i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i300i3−i3i3−i3i3−i32-2-11-11-112i−2i−2i2i−iii−i−iii−i−iii−i0000000−33−33−33000000000000
χ492-2-222-1-1-122-2-2111-22-1-1-1-21112-22-1-1-1-2-21111112-1-1-12-1-1-12-2-2111−2i2i2i−2i000−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i300−i3i3−i3i3−i3i32-2-11-11-11−2i2i2i−2ii−i−iii−i−iii−i−ii0000000−33−33−33000000000000
χ502-2-222-1-1-122-2-2111-22-1-1-1-21112-22-1-1-1-2-21111112-1-1-12-1-1-12-2-2111−2i2i2i−2i000i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i300i3−i3i3−i3i3−i32-2-11-11-11−2i2i2i−2ii−i−iii−i−iii−i−ii00000003−33−33−3000000000000
χ512-2-22-12-1-122-21-211-2-12-1-11-2112-2-12-1-111-2-21111-12-1-1-12-1-12-21-2112i−2i−2i2i0−i3i300−i3i3i3−i300−i3i300−i3i3i3−i3−i3i300−i3i3i3−i3-112-2-11-11−iii−i2i−2i−2i2i−iii−i−iii−i000003−3003−3−33000000000000
χ522-2-22-12-1-122-21-211-2-12-1-11-2112-2-12-1-111-2-21111-12-1-1-12-1-12-21-2112i−2i−2i2i0i3−i300i3−i3−i3i300i3−i300i3−i3−i3i3i3−i300i3−i3−i3i3-112-2-11-11−iii−i2i−2i−2i2i−iii−i−iii−i00000−3300−333−3000000000000
χ532-2-22-12-1-122-21-211-2-12-1-11-2112-2-12-1-111-2-21111-12-1-1-12-1-12-21-211−2i2i2i−2i0−i3i300−i3i3i3−i300−i3i300−i3i3i3−i3−i3i300−i3i3i3−i3-112-2-11-11i−i−ii−2i2i2i−2ii−i−iii−i−ii00000−3300−333−3000000000000
χ542-2-22-12-1-122-21-211-2-12-1-11-2112-2-12-1-111-2-21111-12-1-1-12-1-12-21-211−2i2i2i−2i0i3−i300i3−i3−i3i300i3−i300i3−i3−i3i3i3−i300i3−i3−i3i3-112-2-11-11i−i−ii−2i2i2i−2ii−i−iii−i−ii000003−3003−3−33000000000000
χ552-2-22-1-12-122-211-21-2-1-12-111-212-2-1-12-11111-2-211-1-12-1-1-12-12-211-212i−2i−2i2i0−i3i3i3−i300−i3i300−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3-11-112-2-11−iii−i−iii−i2i−2i−2i2i−iii−i000003−3−33003−3000000000000
χ562-2-22-1-12-122-211-21-2-1-12-111-212-2-1-12-11111-2-211-1-12-1-1-12-12-211-212i−2i−2i2i0i3−i3−i3i300i3−i300i3−i3−i3i300i3−i3i3−i3−i3i300i3−i3-11-112-2-11−iii−i−iii−i2i−2i−2i2i−iii−i00000−333−300−33000000000000
χ572-2-22-1-12-122-211-21-2-1-12-111-212-2-1-12-11111-2-211-1-12-1-1-12-12-211-21−2i2i2i−2i0−i3i3i3−i300−i3i300−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3-11-112-2-11i−i−iii−i−ii−2i2i2i−2ii−i−ii00000−333−300−33000000000000
χ582-2-22-1-12-122-211-21-2-1-12-111-212-2-1-12-11111-2-211-1-12-1-1-12-12-211-21−2i2i2i−2i0i3−i3−i3i300i3−i300i3−i3−i3i300i3−i3i3−i3−i3i300i3−i3-11-112-2-11i−i−iii−i−ii−2i2i2i−2ii−i−ii000003−3−33003−3000000000000
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χ1004-44-4-2-24-2400-2-24-2-422-4222-42-44-2-24-22-22-2-442-222-4200000000002i2−2i22i2−2i200000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i20000000000000000000000000
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χ1094-4-444-2-2-2-2-44-422224-2-2-2-4222-22-211122-1-1-1-1-1-1-2111-42222-24-2-2-200000000000000000-33-33-33003-33-33-32-2-11-11-1100000000000000000000000000000000000000000
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χ12588-8-88-4-4-4-400-8444-4-84448-4-4-444-4222-442-22-22-24-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ12888-8-8-4-4-48-400444-8-4444-8-4-4-4844222-42-22-22-2-44-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1328-88-8-4-4-48-400-4-4-484444-8444-84-4222-4-22-22-224-4-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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