Finite Group Databasebeta

← Group #13169373

Character table — Group #13169373

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1111222222222222222222444444444444444444444444666666668888888888121212121212121212121212121212121212121212121212121212121212121212121212121218181818181824242424242436363636363636363636367272108108
order122233344666666666121212123336666666661212121212121212121212124444121212123666121212121212244466666666121212121212121212121212121212121212121212121212121244444412121212121224466121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-111111111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1111-1-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111111111111111-1-111111111111111111-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-111111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111-1-1
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1111111-1-1111-111-1-1-11-1-1-11111-1-11-11-1
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-11111-11-1-111-1-11-1-111-1-111-11-11
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-11-11111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11-111-1-111-111-1-1-1-1111-1-11
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1111-1111-1-111-1-1-111-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111111111-1-1-1-11-111-1-11-1111-1-111-1-1-11-11
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-111-1-1-11-1-11111-111-1-1-1-1111-11-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-111-1-1-1-11-1-111-1-111-111-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1111111111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-11-1-111-11-1-1-11111-1-11-1-11
χ17222222-12222-1-122-122-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1220022-1-1-1-1-1-1-1-122-1-10000-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022000000200-1-1-1-100000000
χ18222222-12222-1-122-122-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-122-1-1-1-1-2200-2-2111111-1-122-1-100001122-1-1-1-1-1-1-1-111110000-2-2000000-200111100000000
χ19222222-12222-1-122-122-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-2222222-1-1-1-122-1-1-1-12-20022-1-1-1-1-1-111-2-2110000-1-1-2-211111111-1-1-1-10000-2-2000000-200111100000000
χ20222222-12222-1-122-122-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-2-200-2-211111111-2-211000011-2-2111111111111000022000000200-1-1-1-100000000
χ21222222-1-2-222-1-122-12211112-1-12-1-12-1-1-1-12-2-2-2-21111111122222222-1-1-1-1-2-21111-2-200-2-2111111-1-1-2-2110000-1-122-1-1-1-11111-1-1-1-1000022000000-20011-1-100000000
χ22222222-1-2-222-1-122-12211112-1-12-1-12-1-1-1-12-2-2-2-21111111122-2-2-2-2-2-2-1-1-1-1-2-211112-20022-1-1-1-1-1-1-1-1-2-21100001122-1-1-1-1111111110000-2-2000000200-1-11100000000
χ23222222-1-2-222-1-122-12211112-1-12-1-12-1-1-1-12-2-2-2-211111111-2-2222222-1-1-1-1-2-21111-2200-2-21111111122-1-10000-1-1-2-21111-1-1-1-1-1-1-1-10000-2-2000000200-1-11100000000
χ24222222-1-2-222-1-122-12211112-1-12-1-12-1-1-1-12-2-2-2-211111111-2-2-2-2-2-2-2-2-1-1-1-1-2-21111220022-1-1-1-1-1-11122-1-1000011-2-21111-1-1-1-11111000022000000-20011-1-100000000
χ2522222-12222222-1-12-122222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-10022-1-1-1-1-1-1-1-1-1-1-1-1-1-12022-1-122-1-1-1-1000000-1-1-1-1220000000000-1-1-1-122220022-1-1-1-10000000-1-1-1-10000
χ2622222-12222222-1-12-122222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-10022-1-1-1-1-1-1-1-1-1-1-1-1-1-120-2-2-1-122-1-1-1-10000001111220000000000-1-1-1-1-2-2-2-200-2-21111000000011110000
χ2722222-12222222-1-12-122222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-100-2-21111-1-1-1-1-1-1-1-1-1-1-202211-2-21111000000-1-1-1-1-2-200000000001111-2-2-2-20022-1-1-1-1000000011110000
χ2822222-12222222-1-12-122222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-100-2-21111-1-1-1-1-1-1-1-1-1-1-20-2-211-2-211110000001111-2-200000000001111222200-2-211110000000-1-1-1-10000
χ2922222-12-2-22222-1-12-12-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-211110022-1-1-1-1-1-1-1-1111111-202-211-2-21111000000-1-111220000000000-1-1-1-122-2-2002-2-1-1110000000-1-1110000
χ3022222-12-2-22222-1-12-12-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-211110022-1-1-1-1-1-1-1-1111111-20-2211-2-2111100000011-1-1220000000000-1-1-1-1-2-22200-2211-1-1000000011-1-10000
χ3122222-12-2-22222-1-12-12-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-2111100-2-21111-1-1-1-1111111202-2-1-122-1-1-1-1000000-1-111-2-200000000001111-2-222002-2-1-111000000011-1-10000
χ3222222-12-2-22222-1-12-12-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-2111100-2-21111-1-1-1-111111120-22-1-122-1-1-1-100000011-1-1-2-20000000000111122-2-200-2211-1-10000000-1-1110000
χ332222-12222-1-1222222-12222-1-12-122-1-1-1-12-1-1-122-1-1-1-1222222000000-1-1-1-1-1-1-1-1-1-102220000000022-1-122222200-1-1-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-102200000000-1-100
χ342222-12222-1-1222222-12222-1-12-122-1-1-1-12-1-1-122-1-1-1-1222222000000-1-1-1-1-1-1-1-1-1-102-2-20000000022-1-122-2-2-2-200-1-1-1-1-1-1-1-1-1-100000000001111110-2-2000000001100
χ352222-12222-1-1222222-12222-1-12-122-1-1-1-12-1-1-122-1-1-1-12222-2-2000000-1-1-1-1-1-1-1-1-1-10-22200000000-2-211-2-222220011111111110000000000-1-1-1-1-1-10-2-2000000001100
χ362222-12222-1-1222222-12222-1-12-122-1-1-1-12-1-1-122-1-1-1-12222-2-2000000-1-1-1-1-1-1-1-1-1-10-2-2-200000000-2-211-2-2-2-2-2-2001111111111000000000011111102200000000-1-100
χ372222-122-2-2-1-1222222-1-2-2-2-2-1-12-122-1-1-1-12-111-2-21111-2-2-2-222000000-1-1-1-11111110-22-2000000002211-2-222-2-200-1-1-1-1-1-111110000000000-11-1-11102-200000000-1100
χ382222-122-2-2-1-1222222-1-2-2-2-2-1-12-122-1-1-1-12-111-2-21111-2-2-2-222000000-1-1-1-11111110-2-22000000002211-2-2-2-22200-1-1-1-1-1-1111100000000001-111-1-10-22000000001-100
χ392222-122-2-2-1-1222222-1-2-2-2-2-1-12-122-1-1-1-12-111-2-21111-2-2-2-2-2-2000000-1-1-1-1111111022-200000000-2-2-1-12222-2-200111111-1-1-1-10000000000-11-1-1110-22000000001-100
χ402222-122-2-2-1-1222222-1-2-2-2-2-1-12-122-1-1-1-12-111-2-21111-2-2-2-2-2-2000000-1-1-1-111111102-2200000000-2-2-1-122-2-22200111111-1-1-1-100000000001-111-1-102-200000000-1100
χ412-22-222200-2-22-2-22-2-220000222-22-2-2-22-2-220000000000002-22i−2i2i2i−2i−2i22-2-20000000000000000002-2000000002i−2i2-222-2-200002i2i−2i−2i00002i−2i000000000002i−2i00000000
χ422-22-222200-2-22-2-22-2-220000222-22-2-2-22-2-220000000000002-2−2i2i−2i−2i2i2i22-2-20000000000000000002-200000000−2i2i2-222-2-20000−2i−2i2i2i0000−2i2i00000000000−2i2i00000000
χ432-22-222200-2-22-2-22-2-220000222-22-2-2-22-2-22000000000000-222i−2i2i2i−2i−2i22-2-2000000000000000000-22000000002i−2i-22-2-22200002i2i−2i−2i0000−2i2i00000000000−2i2i00000000
χ442-22-222200-2-22-2-22-2-220000222-22-2-2-22-2-22000000000000-22−2i2i−2i−2i2i2i22-2-2000000000000000000-2200000000−2i2i-22-2-2220000−2i−2i2i2i00002i−2i000000000002i−2i00000000
χ452-22-222-100-2-2-11-221-2233−3−32-1-1-2-11-21-1112000033−3−333−3−32-22i−2i2i2i−2i−2i-1-1110033−3−3000000−i3i3−i3−i3i3i3-11003−30000−ii2-2-1-11133−3−3−i−iii00002i−2i000000000−i3i3−ii00000000
χ462-22-222-100-2-2-11-221-2233−3−32-1-1-2-11-21-1112000033−3−333−3−32-2−2i2i−2i−2i2i2i-1-1110033−3−3000000i3−i3i3i3−i3−i3-11003−30000i−i2-2-1-11133−3−3ii−i−i0000−2i2i000000000i3−i3i−i00000000
χ472-22-222-100-2-2-11-221-2233−3−32-1-1-2-11-21-1112000033−3−333−3−3-222i−2i2i2i−2i−2i-1-1110033−3−3000000−i3i3−i3−i3i3i31-100−330000−ii-2211-1-1−3−333−i−iii0000−2i2i000000000i3−i3i−i00000000
χ482-22-222-100-2-2-11-221-2233−3−32-1-1-2-11-21-1112000033−3−333−3−3-22−2i2i−2i−2i2i2i-1-1110033−3−3000000i3−i3i3i3−i3−i31-100−330000i−i-2211-1-1−3−333ii−i−i00002i−2i000000000−i3i3−ii00000000
χ492-22-222-100-2-2-11-221-22−3−3332-1-1-2-11-21-11120000−3−333−3−3332-22i−2i2i2i−2i−2i-1-11100−3−333000000i3−i3i3i3−i3−i3-1100−330000−ii2-2-1-111−3−333−i−iii00002i−2i000000000i3−i3−ii00000000
χ502-22-222-100-2-2-11-221-22−3−3332-1-1-2-11-21-11120000−3−333−3−3332-2−2i2i−2i−2i2i2i-1-11100−3−333000000−i3i3−i3−i3i3i3-1100−330000i−i2-2-1-111−3−333ii−i−i0000−2i2i000000000−i3i3i−i00000000
χ512-22-222-100-2-2-11-221-22−3−3332-1-1-2-11-21-11120000−3−333−3−333-222i−2i2i2i−2i−2i-1-11100−3−333000000i3−i3i3i3−i3−i31-1003−30000−ii-2211-1-133−3−3−i−iii0000−2i2i000000000−i3i3i−i00000000
χ522-22-222-100-2-2-11-221-22−3−3332-1-1-2-11-21-11120000−3−333−3−333-22−2i2i−2i−2i2i2i-1-11100−3−333000000−i3i3−i3−i3i3i31-1003−30000i−i-2211-1-133−3−3ii−i−i00002i−2i000000000i3−i3−ii00000000
χ532-2-222222-22-2-2-22-22-2-22-22-2222-2-2-222-2-22-22-22-22-22-22-22-2000000002-2-222-22-22-2000000000000000000000000000000000000002i−2i2i−2i0000000000000002i−2i2i−2i0000
χ542-2-222222-22-2-2-22-22-2-22-22-2222-2-2-222-2-22-22-22-22-22-22-22-2000000002-2-222-22-22-200000000000000000000000000000000000000−2i2i−2i2i000000000000000−2i2i−2i2i0000
χ552-2-22222-222-2-2-22-22-2-2-22-22222-2-2-222-2-22-2-22-22-22-22-22-22000000002-2-22-22-22-22000000000000000000000000000000000000002i−2i−2i2i0000000000000002i−2i−2i2i0000
χ562-2-22222-222-2-2-22-22-2-2-22-22222-2-2-222-2-22-2-22-22-22-22-22-22000000002-2-22-22-22-2200000000000000000000000000000000000000−2i2i2i−2i000000000000000−2i2i2i−2i0000
χ572-2-222-122-22-2-2-2-1121-22-22-2-12-1111-12-2-2-112-2-112-22-2-11-110000−i3i3−i3i3-111-1-11-11-110000−i3i300−i3i3−i3i30000003−33−3000000000000−i3i3−i3i32i−2i2i−2i00003−33−30000000−ii−ii0000
χ582-2-222-122-22-2-2-2-1121-22-22-2-12-1111-12-2-2-112-2-112-22-2-11-110000−i3i3−i3i3-111-1-11-11-110000−i3i300−i3i3−i3i3000000−33−33000000000000−i3i3−i3i3−2i2i−2i2i0000−33−330000000i−ii−i0000
χ592-2-222-122-22-2-2-2-1121-22-22-2-12-1111-12-2-2-112-2-112-22-2-11-110000i3−i3i3−i3-111-1-11-11-110000i3−i300i3−i3i3−i30000003−33−3000000000000i3−i3i3−i3−2i2i−2i2i00003−33−30000000i−ii−i0000
χ602-2-222-122-22-2-2-2-1121-22-22-2-12-1111-12-2-2-112-2-112-22-2-11-110000i3−i3i3−i3-111-1-11-11-110000i3−i300i3−i3i3−i3000000−33−33000000000000i3−i3i3−i32i−2i2i−2i0000−33−330000000−ii−ii0000
χ612-2-222-12-222-2-2-2-1121-2-22-22-12-1111-12-2-2-11-221-1-22-221-11-10000−i3i3−i3i3-111-11-11-11-10000i3−i300i3−i3i3−i30000003−3−33000000000000−i3i3−i3i32i−2i−2i2i00003−3−330000000−iii−i0000
χ622-2-222-12-222-2-2-2-1121-2-22-22-12-1111-12-2-2-11-221-1-22-221-11-10000−i3i3−i3i3-111-11-11-11-10000i3−i300i3−i3i3−i3000000−333−3000000000000−i3i3−i3i3−2i2i2i−2i0000−333−30000000i−i−ii0000
χ632-2-222-12-222-2-2-2-1121-2-22-22-12-1111-12-2-2-11-221-1-22-221-11-10000i3−i3i3−i3-111-11-11-11-10000−i3i300−i3i3−i3i30000003−3−33000000000000i3−i3i3−i3−2i2i2i−2i00003−3−330000000i−i−ii0000
χ642-2-222-12-222-2-2-2-1121-2-22-22-12-1111-12-2-2-11-221-1-22-221-11-10000i3−i3i3−i3-111-11-11-11-10000−i3i300−i3i3−i3i3000000−333−3000000000000i3−i3i3−i32i−2i−2i2i0000−333−30000000−iii−i0000
χ6544444-2-24444-2-2-2-2-2-24-2-2-2-2-2-21-211-2-2-2-21-244-2-2-2-2-2-211110044-2-2-2-21111-2-211114000-2-2-2-211110000000000-2-200000000001111000000000000000000000000000
χ6644444-2-24444-2-2-2-2-2-24-2-2-2-2-2-21-211-2-2-2-21-244-2-2-2-2-2-2111100-4-422221111-2-21111-40002222-1-1-1-10000000000220000000000-1-1-1-1000000000000000000000000000
χ6744444-2-2-4-444-2-2-2-2-2-242222-2-21-211-2-2-2-21-2-4-4222222-1-1-1-10044-2-2-2-2111122-1-1-1-1-40002222-1-1-1-10000000000-2-200000000001111000000000000000000000000000
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χ1054-4-4444-2-444-4224-4-2-4-42-22-24-2-2-4224-222-2-4-44-442-22-22-22-200000000-222-2-442-22-200000000000000000000000000000000000000000000000000000000000000000
χ1064-4-444-2-24-44-422-22-22-4-22-22-2-212-1-1-2-222124-4-22-22-221-11-10000−2i32i3−2i32i31-1-11-221-11-10000−2i32i300i3−i3i3−i30000000000000000000000i3−i3i3−i3000000000000000000000000000
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χ1218888-4-4-4-8-8-4-4-4-4-4-4-4-4-444442222222222224444-2-2-2-2-2-2-2-200000000-1-1-1-1-2-2111100000000000000000000000000000000000000000000000000000000000000000
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χ1258-88-8-4-4800448-84-4-84-400002-4-4-2-44-24-44420000000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000000
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χ1288-8-88-4-4-48-8-4444-44-444-44-44222-2-2-222-2-22-2-44-442-22-22-22-200000000-111-12-2-11-1100000000000000000000000000000000000000000000000000000000000000000
χ1298-8-88-4-4-4-88-4444-44-4444-44-4222-2-2-222-2-22-24-44-4-22-22-22-2200000000-111-1-221-11-100000000000000000000000000000000000000000000000000000000000000000

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