Finite Group Databasebeta

← Group #13168752

Character table — Group #13168752

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222224444444444444444444444446666666666666666666666668888888888999912121212121212121212121212121212121212121212121212121818181818181818181824242424242424243636363672727272108108
order1222333446666666661212121233366666666612121212121212121212121222444444666612121212121212121212121236661212121212124444246666661212121212121212121212121212121212124412121212121212126666121212122444612121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-11-11-1-1-1
χ4111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1111
χ51111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-11-11-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-111
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
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-11-1-1111-1
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-111-1-1-11
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-11
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-11111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1-111-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-111-1-11-11
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-11-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-111-1-111-11-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-111-1-1-1-111111111111111-1-1-1-11111-1-1-1-11-11-111-1-11-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-11-11-1-111-11
χ17222222-122-12-122222-122222-1-1-1-1-12-122-1-1-1-1222222-1-1-1-1220022002222222200000000-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000002-1-1-12-1-1-12200-10-1000
χ18222222-122-12-122222-122222-1-1-1-1-12-122-1-1-1-1222222-1-1-1-1220022002222222200000000-1-1-1-1-1-1-1-1-1-10000-2-2-1-1-1-1-1-1-1-1000000000000-1-1-1-10000000000-2111-2111-2-200101000
χ19222222-122-12-122222-122222-1-1-1-1-12-122-1-1-1-1222222-1-1-1-1-2-200-2-200-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-100002211111111000000000000111100000000002-1-1-12-1-1-1-2-200101000
χ20222222-122-12-122222-122222-1-1-1-1-12-122-1-1-1-1222222-1-1-1-1-2-200-2-200-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-10000-2-21111111100000000000011110000000000-2111-21112200-10-1000
χ21222222-1-2-2-12-122222-1-2-2-2-22-1-1-1-1-12-122-1-111-2-2-2-2-2-211112200-2-2002222-2-2-2-200000000-1-1-1-111111100002-2-1-1-1-1-1-111000000000000111100000000002-1-1-1-2111-220010-1000
χ22222222-1-2-2-12-122222-1-2-2-2-22-1-1-1-1-12-122-1-111-2-2-2-2-2-211112200-2-2002222-2-2-2-200000000-1-1-1-11111110000-22-1-1-1-1-1-11100000000000011110000000000-21112-1-1-12-200-101000
χ23222222-1-2-2-12-122222-1-2-2-2-22-1-1-1-1-12-122-1-111-2-2-2-2-2-21111-2-2002200-2-2-2-2222200000000-1-1-1-111111100002-2111111-1-1000000000000-1-1-1-100000000002-1-1-1-21112-200-101000
χ24222222-1-2-2-12-122222-1-2-2-2-22-1-1-1-1-12-122-1-111-2-2-2-2-2-21111-2-2002200-2-2-2-2222200000000-1-1-1-11111110000-22111111-1-1000000000000-1-1-1-10000000000-21112-1-1-1-220010-1000
χ2522222-1222222-1-122-122222-12-122-1-1-1-1-1-1222-1-1-1-1-1-12222002200220000000022222222-1-1-1-1-1-1-1-1-1-100002200000000-1-1-1-1-1-1-1-1-1-1-1-100000000000000-12-1-1-12-1-100220-10-100
χ2622222-1222222-1-122-122222-12-122-1-1-1-1-1-1222-1-1-1-1-1-12222002200220000000022222222-1-1-1-1-1-1-1-1-1-10000-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000001-2111-21100-2-2010100
χ2722222-1222222-1-122-122222-12-122-1-1-1-1-1-1222-1-1-1-1-1-1222200-2-200-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000220000000011111111111100000000000000-12-1-1-12-1-100-2-2010100
χ2822222-1222222-1-122-122222-12-122-1-1-1-1-1-1222-1-1-1-1-1-1222200-2-200-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000-2-200000000111111111111000000000000001-2111-21100220-10-100
χ2922222-12-2-2222-1-122-12-2-2-2-2-12-122-1-1-1-1-1-12-2-2111111-2-2-2-2002200-2-2000000002222-2-2-2-2-1-1-1-111111100002-200000000-1-111-1-1-1-1111100000000000000-12-1-11-21100-22010-100
χ3022222-12-2-2222-1-122-12-2-2-2-2-12-122-1-1-1-1-1-12-2-2111111-2-2-2-2002200-2-2000000002222-2-2-2-2-1-1-1-11111110000-2200000000-1-111-1-1-1-11111000000000000001-211-12-1-1002-20-10100
χ3122222-12-2-2222-1-122-12-2-2-2-2-12-122-1-1-1-1-1-12-2-2111111-2-2-2-200-2-2002200000000-2-2-2-22222-1-1-1-111111100002-20000000011-1-11111-1-1-1-100000000000000-12-1-11-211002-20-10100
χ3222222-12-2-2222-1-122-12-2-2-2-2-12-122-1-1-1-1-1-12-2-2111111-2-2-2-200-2-2002200000000-2-2-2-22222-1-1-1-11111110000-220000000011-1-11111-1-1-1-1000000000000001-211-12-1-100-22010-100
χ332222-122222-1222-1-122-1-1-1-1-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122220022-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000000000
χ342222-122222-1222-1-122-1-1-1-1-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1-122-2-222-2-2-1-1-1-1-1-1-1-111111111-1-1-1-122-1-1-1-1-2-2-2-20022-1-1-1-122-2-2-2-211111111-1-1-1-1-2-211111111000000000000000000
χ352222-122222-1222-1-122-1-1-1-1-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-200-2-21111-2-22222-1-1-1-1-1-1-1-11111-2-211111111000000000000000000
χ362222-122222-1222-1-122-1-1-1-1-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-122-1-1-1-1222200-2-21111-2-2-2-2-2-211111111111122-1-1-1-1-1-1-1-1000000000000000000
χ372222-122-2-22-1222-1-1221111-1-12-1-12-12-1-12-1-2-2-2-2111111112222-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1-2-21111-2-2-2-20022-1-1-1-1-2-222-2-2-1-1-1-11111111122-1-1-1-11111000000000000000000
χ382222-122-2-22-1222-1-1221111-1-12-1-12-12-1-12-1-2-2-2-21111111122-2-2-2-222-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2111122220022-1-1-1-1-2-2-2-2221111-1-1-1-11111-2-21111-1-1-1-1000000000000000000
χ392222-122-2-22-1222-1-1221111-1-12-1-12-12-1-12-1-2-2-2-211111111-2-22222-2-21111-1-1-1-1-1-1-1-11111-1-1-1-1-2-21111222200-2-211112222-2-2-1-1-1-11111-1-1-1-1-2-21111-1-1-1-1000000000000000000
χ402222-122-2-22-1222-1-1221111-1-12-1-12-12-1-12-1-2-2-2-211111111-2-2-2-222221111-1-1-1-11111-1-1-1-1-1-1-1-1-2-21111-2-2-2-200-2-2111122-2-2221111-1-1-1-1-1-1-1-122-1-1-1-11111000000000000000000
χ4122-2-222200-2-2-22-22-2-2200002222-2-2-2-22-22-20000000000002-200002i−2i22-2-2000000002i2i−2i−2i22-2-20000002i2i−2i−2i002-222-2-200002i−2i00002i2i−2i−2i00000000002i2i−2i−2i000000000000000000
χ4222-2-222200-2-2-22-22-2-2200002222-2-2-2-22-22-20000000000002-20000−2i2i22-2-200000000−2i−2i2i2i22-2-2000000−2i−2i2i2i002-222-2-20000−2i2i0000−2i−2i2i2i0000000000−2i−2i2i2i000000000000000000
χ4322-2-222200-2-2-22-22-2-2200002222-2-2-2-22-22-2000000000000-2200002i−2i-2-222000000002i2i−2i−2i22-2-2000000−2i−2i2i2i00-22-2-22200002i−2i00002i2i−2i−2i0000000000−2i−2i2i2i000000000000000000
χ4422-2-222200-2-2-22-22-2-2200002222-2-2-2-22-22-2000000000000-220000−2i2i-2-22200000000−2i−2i2i2i22-2-20000002i2i−2i−2i00-22-2-2220000−2i2i0000−2i−2i2i2i00000000002i2i−2i−2i000000000000000000
χ4522-2-2-12200-21-22-2-11-2233−3−3-1-12-11-21-2-1121000033−3−333−3−32-200002i−2i-1-11133−3−3−i3−i3i3i3−i−iii-1-1110033−3−32i2i−2i−2i002-2-1-11100002i−2i−i3−i3i3i3−i−iii33−3−300−i3−i3i3i3−i−iii000000000000000000
χ4622-2-2-12200-21-22-2-11-2233−3−3-1-12-11-21-2-1121000033−3−333−3−32-20000−2i2i-1-11133−3−3i3i3−i3−i3ii−i−i-1-1110033−3−3−2i−2i2i2i002-2-1-1110000−2i2ii3i3−i3−i3ii−i−i33−3−300i3i3−i3−i3ii−i−i000000000000000000
χ4722-2-2-12200-21-22-2-11-2233−3−3-1-12-11-21-2-1121000033−3−333−3−3-2200002i−2i11-1-1−3−333−i3−i3i3i3−i−iii-1-1110033−3−3−2i−2i2i2i00-2211-1-100002i−2i−i3−i3i3i3−i−iii−3−33300i3i3−i3−i3ii−i−i000000000000000000
χ4822-2-2-12200-21-22-2-11-2233−3−3-1-12-11-21-2-1121000033−3−333−3−3-220000−2i2i11-1-1−3−333i3i3−i3−i3ii−i−i-1-1110033−3−32i2i−2i−2i00-2211-1-10000−2i2ii3i3−i3−i3ii−i−i−3−33300−i3−i3i3i3−i−iii000000000000000000
χ4922-2-2-12200-21-22-2-11-22−3−333-1-12-11-21-2-11210000−3−333−3−3332-200002i−2i-1-111−3−333i3i3−i3−i3−i−iii-1-11100−3−3332i2i−2i−2i002-2-1-11100002i−2ii3i3−i3−i3−i−iii−3−33300i3i3−i3−i3−i−iii000000000000000000
χ5022-2-2-12200-21-22-2-11-22−3−333-1-12-11-21-2-11210000−3−333−3−3332-20000−2i2i-1-111−3−333−i3−i3i3i3ii−i−i-1-11100−3−333−2i−2i2i2i002-2-1-1110000−2i2i−i3−i3i3i3ii−i−i−3−33300−i3−i3i3i3ii−i−i000000000000000000
χ5122-2-2-12200-21-22-2-11-22−3−333-1-12-11-21-2-11210000−3−333−3−333-2200002i−2i11-1-133−3−3i3i3−i3−i3−i−iii-1-11100−3−333−2i−2i2i2i00-2211-1-100002i−2ii3i3−i3−i3−i−iii33−3−300−i3−i3i3i3ii−i−i000000000000000000
χ5222-2-2-12200-21-22-2-11-22−3−333-1-12-11-21-2-11210000−3−333−3−333-220000−2i2i11-1-133−3−3−i3−i3i3i3ii−i−i-1-11100−3−3332i2i−2i−2i00-2211-1-10000−2i2i−i3−i3i3i3ii−i−i33−3−300i3i3−i3−i3−i−iii000000000000000000
χ532-22-222200-222-22-2-2-2-20000222-2-2-222-2-2-22000000000000002i−2i2-20000002-22-22i−2i2i−2i00002-2-220000002i−2i2i−2i000000002-22i−2i002i−2i2i−2i00002-22-20000002i−2i2i−2i000000000000000000
χ542-22-222200-222-22-2-2-2-20000222-2-2-222-2-2-22000000000000002i−2i-22000000-22-222i−2i2i−2i00002-2-22000000−2i2i−2i2i00000000-222i−2i002i−2i2i−2i0000-22-22000000−2i2i−2i2i000000000000000000
χ552-22-222200-222-22-2-2-2-20000222-2-2-222-2-2-2200000000000000−2i2i2-20000002-22-2−2i2i−2i2i00002-2-22000000−2i2i−2i2i000000002-2−2i2i00−2i2i−2i2i00002-22-2000000−2i2i−2i2i000000000000000000
χ562-22-222200-222-22-2-2-2-20000222-2-2-222-2-2-2200000000000000−2i2i-22000000-22-22−2i2i−2i2i00002-2-220000002i−2i2i−2i00000000-22−2i2i00−2i2i−2i2i0000-22-220000002i−2i2i−2i000000000000000000
χ572-22-2-12200-2-12-2211-2-2−i3i3−i3i3-1-1211-2-1211-2-10000−i3i3−i3i3−i3i3−i3i3002i−2i2-200−i3i3−i3i3-11-11−ii−ii3−33−3-111-100−i3i3−i3i32i−2i2i−2i0000−i3i3−i3i32-22i−2i00−ii−ii3−33−3-11-11003−33−3−ii−ii000000000000000000
χ582-22-2-12200-2-12-2211-2-2−i3i3−i3i3-1-1211-2-1211-2-10000−i3i3−i3i3−i3i3−i3i3002i−2i-2200i3−i3i3−i31-11-1−ii−ii3−33−3-111-100−i3i3−i3i3−2i2i−2i2i0000i3−i3i3−i3-222i−2i00−ii−ii3−33−31-11-100−33−33i−ii−i000000000000000000
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χ1308888-4-4-4-8-8-4-4-4-4-4-4-4-4-444442222222222224444-2-2-2-2-2-2-2-2000000000000000000000000-1-1-1-1-2-211110000000000000000000000000000000000000000000000000000000000
χ13188-8-88-4-4004-84-448-84-40000-4-42-44-24-2-442400000000000000000000000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000
χ13288-8-8-4-4-400444-44-444-44343−43−432222-2-2-2-22-22-20000−23−232323−23−232323000000000000000000000000-1-1110033−3−30000000000000000000000000000000000000000000000000000000000
χ13388-8-8-4-4-400444-44-444-4−43−4343432222-2-2-2-22-22-200002323−23−232323−23−23000000000000000000000000-1-11100−3−3330000000000000000000000000000000000000000000000000000000000
χ1348-88-88-4-40048-44-4-8-8440000-4-4244-2-4244-2-40000000000000000000000000000000000002-2-220000000000000000000000000000000000000000000000000000000000000000
χ1358-88-8-4-4-4004-4-44-44444−4i34i3−4i34i3222-2-2-222-2-2-2200002i3−2i32i3−2i32i3−2i32i3−2i3000000000000000000000000-111-100−i3i3−i3i30000000000000000000000000000000000000000000000000000000000
χ1368-88-8-4-4-4004-4-44-444444i3−4i34i3−4i3222-2-2-222-2-2-220000−2i32i3−2i32i3−2i32i3−2i32i3000000000000000000000000-111-100i3−i3i3−i30000000000000000000000000000000000000000000000000000000000
χ1378-8-88-4-4-48i−8i-444444-4-44−4i4i4i−4i222-222-2-2-22-2-2−4i4i−4i4i2i−2i−2i2i2i−2i−2i2i000000000000000000000000-11-112i−2i−iii−i0000000000000000000000000000000000000000000000000000000000
χ1388-8-88-4-4-4−8i8i-444444-4-444i−4i−4i4i222-222-2-2-22-2-24i−4i4i−4i−2i2i2i−2i−2i2i2i−2i000000000000000000000000-11-11−2i2ii−i−ii0000000000000000000000000000000000000000000000000000000000

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