Finite Group Databasebeta

← Group #13172054

Character table — Group #13172054

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222224444444444444444444444446666666666666666666666668888888888999912121212121212121212121212121212121212121212121212121818181818181818181824242424242424243636363672727272108108
order1222223336666666666666333666666666666666666666444444441212121212121212121212121212121236666666664444241212121212121212121212121212121212121212121212124412121212121212126666121212122444612121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-111-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1111
χ51111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-11-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111
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
χ91111-1-1111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111111-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-11
χ101111-1-1111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11111-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1111-1
χ111111-1-1111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-11-11-11-111-1
χ121111-1-1111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111-11-11-11-1-11
χ131111-1-1111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-11-11-11-11-11-1
χ141111-1-1111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-11-11-11-11-11
χ151111-1-1111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-111111-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111-1-1-111-11
χ161111-1-1111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11111-11-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-11-1
χ1722222222-12222-122-1222-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-1000022220000000022222222-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1000000000000-1-1-1-1-1-1-1-100000000002-1-1-12-1-1-12200-100-100
χ1822222222-12222-122-1222-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-1000022220000000022222222-1-1-1-1-1-1-1-1-1-10000-2-2-1-1-1-1000000000000-1-1-1-1-1-1-1-10000000000-2111-2111-2-200100100
χ1922222222-12222-122-1222-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-100002211110000000000001111111100000000002-1-1-12-1-1-1-2-200100100
χ2022222222-12222-122-1222-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000-2-21111000000000000111111110000000000-2111-21112200-100-100
χ212222222-1222222222-1-1-122-12-1-1-122-1-122-1-1-1-12222-1-1-1-12222200002222222200000000-1-1-1-1-1-1-1-1-1-10000220000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-12-1-1-12-1-100220-1-1000
χ222222222-1222222222-1-1-122-12-1-1-122-1-122-1-1-1-12222-1-1-1-12222200002222222200000000-1-1-1-1-1-1-1-1-1-10000-2-20000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000001-2111-21100-2-2011000
χ232222222-1222222222-1-1-122-12-1-1-122-1-122-1-1-1-12222-1-1-1-12-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-10000220000111111111111000000000000000000-12-1-1-12-1-100-2-2011000
χ242222222-1222222222-1-1-122-12-1-1-122-1-122-1-1-1-12222-1-1-1-12-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-10000-2-200001111111111110000000000000000001-2111-21100220-1-1000
χ25222222-122-1-1-1-12-1-122222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-122220022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000000000
χ26222222-122-1-1-1-12-1-122222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-122-1-1-1-1-1-1-1-2-2-2-200-2-2-2-22222-1-1-1-1-1-1-1-111111111-2-211111111000000000000000000
χ27222222-122-1-1-1-12-1-122222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-2002222-2-2-2-211111111-1-1-1-1-1-1-1-1-2-211111111000000000000000000
χ28222222-122-1-1-1-12-1-122222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-2-2-2-2-2-2-2-21111111111111111-122-1-1-1-1-1-1-1222200-2-2-2-2-2-2-2-2111111111111111122-1-1-1-1-1-1-1-1000000000000000000
χ292222-2-222-1-2-2-2-2-122-1222-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-1000022-2-2000000002222-2-2-2-2-111-1-1-1111100002-2-1-111000000000000-1-1-1-1111100000000002-1-1-1-21112-200-100100
χ302222-2-222-1-2-2-2-2-122-1222-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-1000022-2-2000000002222-2-2-2-2-111-1-1-111110000-22-1-111000000000000-1-1-1-111110000000000-21112-1-1-1-2200100-100
χ312222-2-222-1-2-2-2-2-122-1222-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-10000-2-22200000000-2-2-2-22222-111-1-1-1111100002-211-1-10000000000001111-1-1-1-100000000002-1-1-1-2111-2200100-100
χ322222-2-222-1-2-2-2-2-122-1222-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-10000-2-22200000000-2-2-2-22222-111-1-1-111110000-2211-1-10000000000001111-1-1-1-10000000000-21112-1-1-12-200-100100
χ332222-2-22-12-2-2-2-22222-1-1-122-12-111-2-2-1-1221111-2-2-2-2-1-1-1-1222-2-200002222-2-2-2-200000000-111-1-1-1111100002-20000-1-111-1-1-1-11111000000000000000000-12-1-11-21100-220-11000
χ342222-2-22-12-2-2-2-22222-1-1-122-12-111-2-2-1-1221111-2-2-2-2-1-1-1-1222-2-200002222-2-2-2-200000000-111-1-1-111110000-220000-1-111-1-1-1-111110000000000000000001-211-12-1-1002-201-1000
χ352222-2-22-12-2-2-2-22222-1-1-122-12-111-2-2-1-1221111-2-2-2-2-1-1-1-12-2-2220000-2-2-2-2222200000000-111-1-1-1111100002-2000011-1-11111-1-1-1-1000000000000000000-12-1-11-211002-201-1000
χ362222-2-22-12-2-2-2-22222-1-1-122-12-111-2-2-1-1221111-2-2-2-2-1-1-1-12-2-2220000-2-2-2-2222200000000-111-1-1-111110000-22000011-1-11111-1-1-1-10000000000000000001-211-12-1-100-220-11000
χ372222-2-2-12211112-1-122222-1-1-12-2-2-2-2-1-1-1-111111111222-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-2-2-1-1-1111122220022-2-222-2-2-1-1-1-11111-1-1-1-11111-2-2-1-1-1-11111000000000000000000
χ382222-2-2-12211112-1-122222-1-1-12-2-2-2-2-1-1-1-111111111222-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1-1-2-2-1-1-11111-2-2-2-200-2-22222-2-2-1-1-1-111111111-1-1-1-1221111-1-1-1-1000000000000000000
χ392222-2-2-12211112-1-122222-1-1-12-2-2-2-2-1-1-1-111111111222-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111-1-2-2-1-1-11111-2-2-2-20022-2-2-2-2221111-1-1-1-1-1-1-1-11111221111-1-1-1-1000000000000000000
χ402222-2-2-12211112-1-122222-1-1-12-2-2-2-2-1-1-1-111111111222-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-1-1-2-2-1-1-11111222200-2-222-2-2221111-1-1-1-11111-1-1-1-1-2-2-1-1-1-11111000000000000000000
χ4122-2-22-222222-2-2-22-2-22-2-22-22222-22-2-2-22-222-2-222-2-2-2-222-200000000000000000000000022-22-2-222-2-22i2i−2i−2i000000000000000000000000002i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000
χ4222-2-22-222222-2-2-22-2-22-2-22-22222-22-2-2-22-222-2-222-2-2-2-222-200000000000000000000000022-22-2-222-2-2−2i−2i2i2i00000000000000000000000000−2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000
χ4322-2-22-2-122-1-111-2-11-22-2-221-1-122-22-211-11-1-111-1-111-2-22-1100000000−i3−i3i3i3−i3−i3i3i333−3−333−3−3-12-2-111-1-1112i2i−2i−2i0000000000−i3−i3i3i3−i3−i3i3i333−3−333−3−32i−2i−i−iii−i−iii000000000000000000
χ4422-2-22-2-122-1-111-2-11-22-2-221-1-122-22-211-11-1-111-1-111-2-22-1100000000−i3−i3i3i3−i3−i3i3i3−3−333−3−333-12-2-111-1-111−2i−2i2i2i0000000000−i3−i3i3i3−i3−i3i3i3−3−333−3−333−2i2iii−i−iii−i−i000000000000000000
χ4522-2-22-2-122-1-111-2-11-22-2-221-1-122-22-211-11-1-111-1-111-2-22-1100000000i3i3−i3−i3i3i3−i3−i333−3−333−3−3-12-2-111-1-111−2i−2i2i2i0000000000i3i3−i3−i3i3i3−i3−i333−3−333−3−3−2i2iii−i−iii−i−i000000000000000000
χ4622-2-22-2-122-1-111-2-11-22-2-221-1-122-22-211-11-1-111-1-111-2-22-1100000000i3i3−i3−i3i3i3−i3−i3−3−333−3−333-12-2-111-1-1112i2i−2i−2i0000000000i3i3−i3−i3i3i3−i3−i3−3−333−3−3332i−2i−i−iii−i−iii000000000000000000
χ4722-2-2-22222-2-222-22-2-22-2-22-2222-22-22-2-22-2-2-222-2-222-2-222-20000000000000000000000002-222-2-2-2-2222i2i−2i−2i00000000000000000000000000−2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000
χ4822-2-2-22222-2-222-22-2-22-2-22-2222-22-22-2-22-2-2-222-2-222-2-222-20000000000000000000000002-222-2-2-2-222−2i−2i2i2i000000000000000000000000002i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000
χ4922-2-2-22-12211-1-1-2-11-22-2-221-1-12-22-2211-1111-1-111-1-1-2-22-1100000000−i3−i3i3i3i3i3−i3−i333−3−3−3−333-1-22-11111-1-12i2i−2i−2i0000000000−i3−i3i3i3i3i3−i3−i333−3−3−3−333−2i2i−i−iiiii−i−i000000000000000000
χ5022-2-2-22-12211-1-1-2-11-22-2-221-1-12-22-2211-1111-1-111-1-1-2-22-1100000000−i3−i3i3i3i3i3−i3−i3−3−33333−3−3-1-22-11111-1-1−2i−2i2i2i0000000000−i3−i3i3i3i3i3−i3−i3−3−33333−3−32i−2iii−i−i−i−iii000000000000000000
χ5122-2-2-22-12211-1-1-2-11-22-2-221-1-12-22-2211-1111-1-111-1-1-2-22-1100000000i3i3−i3−i3−i3−i3i3i333−3−3−3−333-1-22-11111-1-1−2i−2i2i2i0000000000i3i3−i3−i3−i3−i3i3i333−3−3−3−3332i−2iii−i−i−i−iii000000000000000000
χ5222-2-2-22-12211-1-1-2-11-22-2-221-1-12-22-2211-1111-1-111-1-1-2-22-1100000000i3i3−i3−i3−i3−i3i3i3−3−33333−3−3-1-22-11111-1-12i2i−2i−2i0000000000i3i3−i3−i3−i3−i3i3i3−3−33333−3−3−2i2i−i−iiiii−i−i000000000000000000
χ532-22-2002220000-2-222-22-2-2-222200002-2-2-2000000002-2-2-222i−2i002-2002i−2i2i−2i00002-22-20000200-22-200002i−2i2i−2i002-2002i−2i002i−2i2i−2i00002-22-20000002i−2i2i−2i0000000000000000000000
χ542-22-2002220000-2-222-22-2-2-222200002-2-2-2000000002-2-2-222i−2i00-22002i−2i2i−2i0000-22-220000200-22-20000−2i2i−2i2i00-22002i−2i002i−2i2i−2i0000-22-22000000−2i2i−2i2i0000000000000000000000
χ552-22-2002220000-2-222-22-2-2-222200002-2-2-2000000002-2-2-22−2i2i002-200−2i2i−2i2i00002-22-20000200-22-20000−2i2i−2i2i002-200−2i2i00−2i2i−2i2i00002-22-2000000−2i2i−2i2i0000000000000000000000
χ562-22-2002220000-2-222-22-2-2-222200002-2-2-2000000002-2-2-22−2i2i00-2200−2i2i−2i2i0000-22-220000200-22-200002i−2i2i−2i00-2200−2i2i00−2i2i−2i2i0000-22-220000002i−2i2i−2i0000000000000000000000
χ572-22-200-122−i3i3−i3i3-21-12-22-2-21-1-120000-1111−i3i3−i3i3−i3i3−i3i32-2-21-12i−2i002-200−ii−ii3−33−3-11-11−i3i3−i3i3-1001-11−i3i3−i3i32i−2i2i−2i002-2002i−2i00−ii−ii3−33−3-11-11−i3i3−i3i300−ii−ii3−33−3000000000000000000
χ582-22-200-122−i3i3−i3i3-21-12-22-2-21-1-120000-1111−i3i3−i3i3−i3i3−i3i32-2-21-12i−2i00-2200−ii−ii3−33−31-11-1i3−i3i3−i3-1001-11−i3i3−i3i3−2i2i−2i2i00-22002i−2i00−ii−ii3−33−31-11-1i3−i3i3−i300i−ii−i−33−33000000000000000000
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χ13288-8-8-88-4-4-444-4-44-444-444-442224-44-4-2-22-2-2-222-2-222-2-222-2000000000000000000000000-1-22-11111-1-10000000000000000000000000000000000000000000000000000000000
χ1338-88-8008-4-400004-88-44-444-8-4-420000-4444000000002-2-24-4000000000000000000000000200-22-200000000000000000000000000000000000000000000000000000000000000
χ1348-88-800-4-4-4−4i34i3−4i34i344-4-44-444422200002-2-2-22i3−2i32i3−2i32i3−2i32i3−2i32-2-2-22000000000000000000000000-1001-11−i3i3−i3i30000000000000000000000000000000000000000000000000000000000
χ1358-88-800-4-4-44i3−4i34i3−4i344-4-44-444422200002-2-2-2−2i32i3−2i32i3−2i32i3−2i32i32-2-2-22000000000000000000000000-1001-11i3−i3i3−i30000000000000000000000000000000000000000000000000000000000
χ1368-8-88008-4-40000-4-8-8444-448-4-4200004-44-400000000-22-244000000000000000000000000200-2-2200000000000000000000000000000000000000000000000000000000000000
χ1378-8-8800-4-4-4−4i34i34i3−4i3-444444-44-42220000-22-222i3−2i3−2i32i32i3−2i3−2i32i3-22-2-2-2000000000000000000000000-10011-1−i3i3i3−i30000000000000000000000000000000000000000000000000000000000
χ1388-8-8800-4-4-44i3−4i3−4i34i3-444444-44-42220000-22-22−2i32i32i3−2i3−2i32i32i3−2i3-22-2-2-2000000000000000000000000-10011-1i3−i3−i3i30000000000000000000000000000000000000000000000000000000000

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