Finite Group Databasebeta

← Group #13172215

Character table — Group #13172215

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222224444444444444444444444446666666666666666666666668888888888999912121212121212121212121212121212121212121212121212121818181818181818181824242424242424243636363672727272108108
order12222233366666666666663336666666666666666666664444444412121212121212121212121212121212366666666644444412121212121212121212121212121212121212121212121244121212121212121212121212121212122444612121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-11-11-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-111
χ51111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111-1-111-11-1-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1111
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
χ91111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111111-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1111-1-11-11-111-1-1-11
χ101111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11111-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-111-1-1-111-11-11-1-1111-1
χ111111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1111-1-1-1-111-111-11-1
χ121111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-1-1-11111-1-11-1-11-11
χ131111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111111-1-1111-1-111-1-11-1-111-1
χ141111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11111-111-1-1-111-1-111-111-1-11
χ151111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-111111-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11-1-1111-1-1-11-11-1-111-11
χ161111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11111-11-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-111-1-1-1111-11-111-1-11-1
χ1722222222-122222-1-1222-1222-1-122-1-122-1-1-12222-1-1-1-1-1-12-1000022220000000022222222-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1000000000000-1-1-1-1-1-1-1-10000000000-1-122-1-1-1-12002-10-1000
χ1822222222-122222-1-1222-1222-1-122-1-122-1-1-12222-1-1-1-1-1-12-1000022220000000022222222-1-1-1-1-1-1-1-1-1-10000-2-2-1-1-1-1000000000000-1-1-1-1-1-1-1-1000000000011-2-21111-200-2101000
χ1922222222-122222-1-1222-1222-1-122-1-122-1-1-12222-1-1-1-1-1-12-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000221111000000000000111111110000000000-1-122-1-1-1-1-200-2101000
χ2022222222-122222-1-1222-1222-1-122-1-122-1-1-12222-1-1-1-1-1-12-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000-2-2111100000000000011111111000000000011-2-211112002-10-1000
χ212222222-122-1-1-1-122-1-1222-1-12-12222-1-12-1-1-1-1-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-122220022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000000000
χ222222222-122-1-1-1-122-1-1222-1-12-12222-1-12-1-1-1-1-1-1-1-1-1-122-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-122-1-1-1-1-1-1-1-2-2-2-200-2-2-2-22222-1-1-1-1-1-1-1-111111111-2-211111111000000000000000000
χ232222222-122-1-1-1-122-1-1222-1-12-12222-1-12-1-1-1-1-1-1-1-1-1-122-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-2002222-2-2-2-211111111-1-1-1-1-1-1-1-1-2-211111111000000000000000000
χ242222222-122-1-1-1-122-1-1222-1-12-12222-1-12-1-1-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-21111111111111111-122-1-1-1-1-1-1-1222200-2-2-2-2-2-2-2-2111111111111111122-1-1-1-1-1-1-1-1000000000000000000
χ25222222-122-122222222-12-12-1-12-1-122-1-1-122-1-1-1-12222-1-1-12222200002222222200000000-1-1-1-1-1-1-1-1-1-10000220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-1-1-102200-10-100
χ26222222-122-122222222-12-12-1-12-1-122-1-1-122-1-1-1-12222-1-1-12222200002222222200000000-1-1-1-1-1-1-1-1-1-10000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-21111110-2-20010100
χ27222222-122-122222222-12-12-1-12-1-122-1-1-122-1-1-1-12222-1-1-12-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1000022000011111111111100000000000000000022-1-1-1-1-1-10-2-20010100
χ28222222-122-122222222-12-12-1-12-1-122-1-1-122-1-1-1-12222-1-1-12-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-10000-2-20000111111111111000000000000000000-2-211111102200-10-100
χ292222-2-222-12-2-2-2-2-1-1222-1222-1-1-2-21122-1-1-1-2-2-2-21111-1-12-1000022-2-2000000002222-2-2-2-2-111-1-1-1111100002-2-1-111000000000000-1-1-1-111110000000000-11-22-1-111200-2-101000
χ302222-2-222-12-2-2-2-2-1-1222-1222-1-1-2-21122-1-1-1-2-2-2-21111-1-12-1000022-2-2000000002222-2-2-2-2-111-1-1-111110000-22-1-111000000000000-1-1-1-1111100000000001-12-211-1-1-200210-1000
χ312222-2-222-12-2-2-2-2-1-1222-1222-1-1-2-21122-1-1-1-2-2-2-21111-1-12-10000-2-22200000000-2-2-2-22222-111-1-1-1111100002-211-1-10000000000001111-1-1-1-10000000000-11-22-1-111-200210-1000
χ322222-2-222-12-2-2-2-2-1-1222-1222-1-1-2-21122-1-1-1-2-2-2-21111-1-12-10000-2-22200000000-2-2-2-22222-111-1-1-111110000-2211-1-10000000000001111-1-1-1-100000000001-12-211-1-1200-2-101000
χ332222-2-22-122111122-1-1222-1-12-1-2-2-2-2-1-12-1-11111111122-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-2-2-1-1-1111122220022-2-222-2-2-1-1-1-11111-1-1-1-11111-2-2-1-1-1-11111000000000000000000
χ342222-2-22-122111122-1-1222-1-12-1-2-2-2-2-1-12-1-11111111122-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1-1-2-2-1-1-11111-2-2-2-200-2-22222-2-2-1-1-1-111111111-1-1-1-1221111-1-1-1-1000000000000000000
χ352222-2-22-122111122-1-1222-1-12-1-2-2-2-2-1-12-1-11111111122-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111-1-2-2-1-1-11111-2-2-2-20022-2-2-2-2221111-1-1-1-1-1-1-1-11111221111-1-1-1-1000000000000000000
χ362222-2-22-122111122-1-1222-1-12-1-2-2-2-2-1-12-1-11111111122-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-1-1-2-2-1-1-11111222200-2-222-2-2221111-1-1-1-11111-1-1-1-1-2-2-1-1-1-11111000000000000000000
χ372222-2-2-122-1-2-2-2-22222-12-12-1-1211-2-2-1-1-1221111-2-2-2-2-1-1-1222-2-200002222-2-2-2-200000000-111-1-1-1111100002-20000-1-111-1-1-1-111110000000000000000002-21-1-1-1110-2200-10100
χ382222-2-2-122-1-2-2-2-22222-12-12-1-1211-2-2-1-1-1221111-2-2-2-2-1-1-1222-2-200002222-2-2-2-200000000-111-1-1-111110000-220000-1-111-1-1-1-11111000000000000000000-22-1111-1-102-20010-100
χ392222-2-2-122-1-2-2-2-22222-12-12-1-1211-2-2-1-1-1221111-2-2-2-2-1-1-12-2-2220000-2-2-2-2222200000000-111-1-1-1111100002-2000011-1-11111-1-1-1-10000000000000000002-21-1-1-11102-20010-100
χ402222-2-2-122-1-2-2-2-22222-12-12-1-1211-2-2-1-1-1221111-2-2-2-2-1-1-12-2-2220000-2-2-2-2222200000000-111-1-1-111110000-22000011-1-11111-1-1-1-1000000000000000000-22-1111-1-10-2200-10100
χ4122-2-200222-200002-22-2-2-22-22220000-2-2-22-2000000002-22-2002-2002i−2i000022-2-200002i2i−2i−2i2002-2-200002i2i−2i−2i00002i−2i002-2000022-2-200002i2i−2i−2i002i2i−2i−2i0000000000000000000000
χ4222-2-200222-200002-22-2-2-22-22220000-2-2-22-2000000002-22-2002-200−2i2i000022-2-20000−2i−2i2i2i2002-2-20000−2i−2i2i2i0000−2i2i002-2000022-2-20000−2i−2i2i2i00−2i−2i2i2i0000000000000000000000
χ4322-2-200222-200002-22-2-2-22-22220000-2-2-22-2000000002-22-200-22002i−2i0000-2-22200002i2i−2i−2i2002-2-20000−2i−2i2i2i00002i−2i00-220000-2-22200002i2i−2i−2i00−2i−2i2i2i0000000000000000000000
χ4422-2-200222-200002-22-2-2-22-22220000-2-2-22-2000000002-22-200-2200−2i2i0000-2-2220000−2i−2i2i2i2002-2-200002i2i−2i−2i0000−2i2i00-220000-2-2220000−2i−2i2i2i002i2i−2i−2i0000000000000000000000
χ4522-2-2002-12-2−i3−i3i3i32-2-11-2-221-12-1000011-2-11−i3−i3i3i3−i3−i3i3i32-2-11002-2002i−2i−i3−i3i3i3-1-11133−3−3−i−iii-100-111−i3−i3i3i32i2i−2i−2i00002i−2i002-2−i3−i3i3i3-1-11133−3−3−i−iii00−i−iii33−3−3000000000000000000
χ4622-2-2002-12-2−i3−i3i3i32-2-11-2-221-12-1000011-2-11−i3−i3i3i3−i3−i3i3i32-2-11002-200−2i2i−i3−i3i3i3-1-111−3−333ii−i−i-100-111−i3−i3i3i3−2i−2i2i2i0000−2i2i002-2−i3−i3i3i3-1-111−3−333ii−i−i00ii−i−i−3−333000000000000000000
χ4722-2-2002-12-2−i3−i3i3i32-2-11-2-221-12-1000011-2-11−i3−i3i3i3−i3−i3i3i32-2-1100-22002i−2ii3i3−i3−i311-1-133−3−3−i−iii-100-111−i3−i3i3i3−2i−2i2i2i00002i−2i00-22i3i3−i3−i311-1-133−3−3−i−iii00ii−i−i−3−333000000000000000000
χ4822-2-2002-12-2−i3−i3i3i32-2-11-2-221-12-1000011-2-11−i3−i3i3i3−i3−i3i3i32-2-1100-2200−2i2ii3i3−i3−i311-1-1−3−333ii−i−i-100-111−i3−i3i3i32i2i−2i−2i0000−2i2i00-22i3i3−i3−i311-1-1−3−333ii−i−i00−i−iii33−3−3000000000000000000
χ4922-2-2002-12-2i3i3−i3−i32-2-11-2-221-12-1000011-2-11i3i3−i3−i3i3i3−i3−i32-2-11002-2002i−2ii3i3−i3−i3-1-111−3−333−i−iii-100-111i3i3−i3−i32i2i−2i−2i00002i−2i002-2i3i3−i3−i3-1-111−3−333−i−iii00−i−iii−3−333000000000000000000
χ5022-2-2002-12-2i3i3−i3−i32-2-11-2-221-12-1000011-2-11i3i3−i3−i3i3i3−i3−i32-2-11002-200−2i2ii3i3−i3−i3-1-11133−3−3ii−i−i-100-111i3i3−i3−i3−2i−2i2i2i0000−2i2i002-2i3i3−i3−i3-1-11133−3−3ii−i−i00ii−i−i33−3−3000000000000000000
χ5122-2-2002-12-2i3i3−i3−i32-2-11-2-221-12-1000011-2-11i3i3−i3−i3i3i3−i3−i32-2-1100-22002i−2i−i3−i3i3i311-1-1−3−333−i−iii-100-111i3i3−i3−i3−2i−2i2i2i00002i−2i00-22−i3−i3i3i311-1-1−3−333−i−iii00ii−i−i33−3−3000000000000000000
χ5222-2-2002-12-2i3i3−i3−i32-2-11-2-221-12-1000011-2-11i3i3−i3−i3i3i3−i3−i32-2-1100-2200−2i2i−i3−i3i3i311-1-133−3−3ii−i−i-100-111i3i3−i3−i32i2i−2i−2i0000−2i2i00-22−i3−i3i3i311-1-133−3−3ii−i−i00−i−iii−3−333000000000000000000
χ532-22-200222-20000-22-2-22-2-2222200002-2-2-2200000000-22-2-22i−2i002i−2i002i−2i2i−2i00002i−2i2i−2i0000200-22-200002-22-2002i−2i002i−2i002i−2i2i−2i00002i−2i2i−2i0000002-22-20000000000000000000000
χ542-22-200222-20000-22-2-22-2-2222200002-2-2-2200000000-22-2-22i−2i00−2i2i002i−2i2i−2i0000−2i2i−2i2i0000200-22-20000-22-2200−2i2i002i−2i002i−2i2i−2i0000−2i2i−2i2i000000-22-220000000000000000000000
χ552-22-200222-20000-22-2-22-2-2222200002-2-2-2200000000-22-2-2−2i2i002i−2i00−2i2i−2i2i00002i−2i2i−2i0000200-22-20000-22-22002i−2i00−2i2i00−2i2i−2i2i00002i−2i2i−2i000000-22-220000000000000000000000
χ562-22-200222-20000-22-2-22-2-2222200002-2-2-2200000000-22-2-2−2i2i00−2i2i00−2i2i−2i2i0000−2i2i−2i2i0000200-22-200002-22-200−2i2i00−2i2i00−2i2i−2i2i0000−2i2i−2i2i0000002-22-20000000000000000000000
χ572-22-2002-12-2−i3i3−i3i3-22112-2-2-1-12-10000-11-21-1−i3i3−i3i3−i3i3−i3i3-22112i−2i002i−2i00−ii−ii3−33−3−ii−ii3−33−3-1001-11−i3i3−i3i32-22-2002i−2i002i−2i00−ii−ii3−33−3−ii−ii3−33−300-11-11−i3i3−i3i3000000000000000000
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χ13388-8-800-4-4-444i34i3−4i3−4i3-44-4444-442220000-2-2-22-2−2i3−2i32i32i3−2i3−2i32i32i32-22-2000000000000000000000000-100-111i3i3−i3−i30000000000000000000000000000000000000000000000000000000000
χ1348-88-800-48-4400004-4-8-8-4448-42-40000-44-24-400000000-2244000000000000000000000000200-22-200000000000000000000000000000000000000000000000000000000000000
χ1358-88-800-4-4-44−4i34i3−4i34i34-444-444-422200002-2-2-222i3−2i32i3−2i32i3−2i32i3−2i3-22-2-2000000000000000000000000-1001-11−i3i3−i3i30000000000000000000000000000000000000000000000000000000000
χ1368-88-800-4-4-444i3−4i34i3−4i34-444-444-422200002-2-2-22−2i32i3−2i32i3−2i32i3−2i32i3-22-2-2000000000000000000000000-1001-11i3−i3i3−i30000000000000000000000000000000000000000000000000000000000
χ1378-8-888-8-4-4-4-4-444-4444-44-444222-44-44-222-2-22-2-222-2-22-2-2-22000000000000000000000000-12-211-1-111-10000000000000000000000000000000000000000000000000000000000
χ1388-8-88-88-4-4-4-44-4-44444-44-4442224-44-4-222-2-2-222-2-222-2-2-2-22000000000000000000000000-1-2211-11-1-110000000000000000000000000000000000000000000000000000000000

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