Finite Group Databasebeta

← Group #13170765

Character table — Group #13170765

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222333344444444444444444444466666666666688888888888881212121212121212121212121212121212121212121212121212121818181818182424242424242424242436363636363636363636363636545472108
order122233366666666644443334666666666121212121212121222441212121212121212366612121212121212121224466666666666612121212121212121212121222444466121212121212121244466121212121212121222122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-111111111111111111111111-111111111111111-1-1-1-1-1-11111-1-111-1-1111-111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111111111-11-1-111-1-1111111-1-1111111111111-1-1-1-1-1-1-11-1-11111-11-111-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111
χ511111111111111111111111-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-111-1-1-1-1111111-1-1
χ611111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-11-1-111-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-11-111-1-1111-111111-1-1-1-1-1-1-1-111
χ811111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1-11111-1-11111-1-1
χ91111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-11111111111111-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-1-1-111-1-11-1
χ101111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-111-1-1-1-1-11-111-1-111-1-1-1-111-11
χ111111111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-11-1-111111-1-1-1-111-1-111-1-111-11
χ121111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1
χ131111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11111-1-111-1-1-11
χ141111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-11-1-111-1-11-111111-1-1-1-1-1-1111-1
χ151111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-11-111-1-111-111-1-1-1-11111-1-1111-1
χ161111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-111-1-1-1-11111-1-1-11
χ17222222-122-12-12-1222222-12-12-12-1-12-12-1-1-1-122-1-1-1-10022-1-1-1-12222-1-1-1-1222-1-1-1-1-1-1202002200-1-1-1-1-1-100-1-1-1-122-1-1-1-1220000000200-1-1-1-1020-1-100-1-100000000
χ18222222-122-12-12-1222222-12-12-12-1-12-12-1-1-1-122-1-1-1-100-2-2-1-1-1-12222-1-1-1-1222-1-1-1-1-1-120-2002200-1-1-1-1-1-1001111-2-2-1-1-1-1-2-20000000-20011110-2011001100000000
χ19222222-122-12-12-1222222-12-1-2-12-1-12-12-1-111-2-211110022-1-1-1-12222-1-1-1-1-2-2-2111111-20-200-2-2001111110011-1-122-1-1-1-1220000000-20011-1-10-20-1-1001100000000
χ20222222-122-12-12-1222222-12-1-2-12-1-12-12-1-111-2-2111100-2-2-1-1-1-12222-1-1-1-1-2-2-2111111-20200-2-20011111100-1-111-2-2-1-1-1-1-2-20000000200-1-1110201100-1-100000000
χ21222222-122-12-12-122-2-2-2-2-12-12-12-1-12-12-1-1-1-122-1-1-1-100221111-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-20200-2-20011111100-1-1-1-1221111-2-20000000200-1-1-1-10-2011001100000000
χ22222222-122-12-12-122-2-2-2-2-12-12-12-1-12-12-1-1-1-122-1-1-1-100-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-20-200-2-200111111001111-2-21111220000000-2001111020-1-100-1-100000000
χ23222222-122-12-12-122-2-2-2-2-12-1-2-12-1-12-12-1-111-2-2111100221111-2-2-2-2-1-1-1-1-2-2-211111120-2002200-1-1-1-1-1-10011-1-1221111-2-20000000-20011-1-10201100-1-100000000
χ24222222-122-12-12-122-2-2-2-2-12-1-2-12-1-12-12-1-111-2-2111100-2-21111-2-2-2-2-1-1-1-1-2-2-2111111202002200-1-1-1-1-1-100-1-111-2-21111220000000200-1-1110-20-1-1001100000000
χ2522222-122-1222-12-1222222-1-122-1-1-1-12-12-122-1-1-1-1-1-122002222-1-1-1-1-1-1-1-12-1-122-1-1-1-122022-1-1-1-122-1-1-1-1-1-1000000-1-1-1-1002200-1-120-1-1000020000-1-100-1-1000000
χ2622222-122-1222-12-1222222-1-122-1-1-1-12-12-122-1-1-1-1-1-1-2-2002222-1-1-1-1-1-1-1-12-1-122-1-1-1-12-20-2-2-1-11122-1-1-1-111000000-1-1-1-100-2-20011-20110000-20000110011000000
χ2722222-122-1222-12-1222222-1-1-22-1-1-1-12-12-1-2-211111122002222-1-1-1-1-1-1-1-1-211-2-21111-2-202211-1-1-2-2111111000000-1-1-1-1002200-1-1-20110000-200001100-1-1000000
χ2822222-122-1222-12-1222222-1-1-22-1-1-1-12-12-1-2-2111111-2-2002222-1-1-1-1-1-1-1-1-211-2-21111-220-2-21111-2-21111-1-1000000-1-1-1-100-2-2001120-1-1000020000-1-10011000000
χ2922222-122-1222-12-12-2-2-2-22-1-122-1-1-1-12-12-122-1-1-1-1-1-12200-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-2202211-1-1-2-21111-1-1000000111100-2-200-1-120-1-10000-20000110011000000
χ3022222-122-1222-12-12-2-2-2-22-1-122-1-1-1-12-12-122-1-1-1-1-1-1-2-200-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-2-20-2-21111-2-2111111000000111100220011-2011000020000-1-100-1-1000000
χ3122222-122-1222-12-12-2-2-2-22-1-1-22-1-1-1-12-12-1-2-21111112200-2-2-2-21111-1-1-1-1-211-2-211112-2022-1-1-1-122-1-1-1-111000000111100-2-200-1-1-2011000020000-1-10011000000
χ3222222-122-1222-12-12-2-2-2-22-1-1-22-1-1-1-12-12-1-2-2111111-2-200-2-2-2-21111-1-1-1-1-211-2-21111220-2-2-1-11122-1-1-1-1-1-100000011110022001120-1-10000-200001100-1-1000000
χ332222-122-122-12222-10000-1-122-1-122-1-1-1-1222222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1022-1-10022000000222222-1-10000000022-1-1-1-1-1-1-1-1-1-100200000000-1-100-10
χ342222-122-122-12222-10000-1-122-1-122-1-1-1-122222222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-102-2-1-1002200000022-2-2-2-21100000000-2-2-1-1-11-1-1111100-200000000110010
χ352222-122-122-12222-10000-1-122-1-122-1-1-1-1222222222-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-10-221100-2-2000000-2-22222-1-100000000-2-2111-111-1-1-1-100-200000000110010
χ362222-122-122-12222-10000-1-122-1-122-1-1-1-1222222222-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-21100-2-2000000-2-2-2-2-2-2110000000022111111111100200000000-1-100-10
χ372222-122-122-12222-10000-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-2222200000000-1-1-1-11111111110-2-2-1-10022000000-2-2-2-222-1-10000000022-1-1111111-1-100-200000000-1-10010
χ382222-122-122-12222-10000-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-222-2-200000000-1-1-1-11111111110-22-1-10022000000-2-222-2-21100000000-2-2-1-11-111-1-111002000000001100-10
χ392222-122-122-12222-10000-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-2-2-22200000000-1-1-1-111111111102-21100-2-200000022-2-222-1-100000000-2-211-11-1-111-1-1002000000001100-10
χ402222-122-122-12222-10000-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-11111111110221100-2-20000002222-2-211000000002211-1-1-1-1-1-11100-200000000-1-10010
χ4122-2-2222-2222-2-2-2-2-22i2i−2i−2i2220-2-22-2-222-2-200000000002i−2i2i2i−2i−2i2i2i−2i−2i22-2-200000000000000000000000000002i−2i2i−2i2i2i−2i−2i2-20000000000002i−2i0002-2000000000000
χ4222-2-2222-2222-2-2-2-2-22i2i−2i−2i2220-2-22-2-222-2-20000000000−2i2i2i2i−2i−2i2i2i−2i−2i22-2-20000000000000000000000000000−2i2i−2i2i2i2i−2i−2i-22000000000000−2i2i000-22000000000000
χ4322-2-2222-2222-2-2-2-2-2−2i−2i2i2i2220-2-22-2-222-2-200000000002i−2i−2i−2i2i2i−2i−2i2i2i22-2-200000000000000000000000000002i−2i2i−2i−2i−2i2i2i-220000000000002i−2i000-22000000000000
χ4422-2-2222-2222-2-2-2-2-2−2i−2i2i2i2220-2-22-2-222-2-20000000000−2i2i−2i−2i2i2i−2i−2i2i2i22-2-20000000000000000000000000000−2i2i−2i2i−2i−2i2i2i2-2000000000000−2i2i0002-2000000000000
χ4522-2-222-1-22-121-21-2-22i2i−2i−2i-12-101-2-11-2-12113−30033−3−3002i−2i−i−iii2i2i−2i−2i-1-1110003−333−3−3000000000−i3i3−i3−i3i3i300−i3i3−ii2i−2i−i−iii2-20000000000−i3i3−ii000-11003−300000000
χ4622-2-222-1-22-121-21-2-22i2i−2i−2i-12-101-2-11-2-12113−30033−3−300−2i2i−i−iii2i2i−2i−2i-1-1110003−333−3−3000000000−i3i3−i3−i3i3i300i3−i3i−i−2i2i−i−iii-220000000000i3−i3i−i0001-100−3300000000
χ4722-2-222-1-22-121-21-2-22i2i−2i−2i-12-101-2-11-2-1211−3300−3−333002i−2i−i−iii2i2i−2i−2i-1-111000−33−3−333000000000i3−i3i3i3−i3−i300i3−i3−ii2i−2i−i−iii2-20000000000i3−i3−ii000-1100−3300000000
χ4822-2-222-1-22-121-21-2-22i2i−2i−2i-12-101-2-11-2-1211−3300−3−33300−2i2i−i−iii2i2i−2i−2i-1-111000−33−3−333000000000i3−i3i3i3−i3−i300−i3i3i−i−2i2i−i−iii-220000000000−i3i3i−i0001-1003−300000000
χ4922-2-222-1-22-121-21-2-2−2i−2i2i2i-12-101-2-11-2-12113−30033−3−3002i−2iii−i−i−2i−2i2i2i-1-1110003−333−3−3000000000i3−i3i3i3−i3−i300−i3i3−ii2i−2iii−i−i-220000000000−i3i3−ii0001-100−3300000000
χ5022-2-222-1-22-121-21-2-2−2i−2i2i2i-12-101-2-11-2-12113−30033−3−300−2i2iii−i−i−2i−2i2i2i-1-1110003−333−3−3000000000i3−i3i3i3−i3−i300i3−i3i−i−2i2iii−i−i2-20000000000i3−i3i−i000-11003−300000000
χ5122-2-222-1-22-121-21-2-2−2i−2i2i2i-12-101-2-11-2-1211−3300−3−333002i−2iii−i−i−2i−2i2i2i-1-111000−33−3−333000000000−i3i3−i3−i3i3i300i3−i3−ii2i−2iii−i−i-220000000000i3−i3−ii0001-1003−300000000
χ5222-2-222-1-22-121-21-2-2−2i−2i2i2i-12-101-2-11-2-1211−3300−3−33300−2i2iii−i−i−2i−2i2i2i-1-111000−33−3−333000000000−i3i3−i3−i3i3i300−i3i3i−i−2i2iii−i−i2-20000000000−i3i3i−i000-1100−3300000000
χ532-22-22222-2-2-2-222-2-22i−2i2i−2i222022-22-2-2-2-2-2000000002-2002i−2i2i−2i2i−2i2i−2i2-22-20000000000002-2002-2000000000000002i−2i2i−2i002i−2i002-2000000000000000002i−2i000000
χ542-22-22222-2-2-2-222-2-22i−2i2i−2i222022-22-2-2-2-2-200000000-22002i−2i2i−2i2i−2i2i−2i2-22-2000000000000-2200-22000000000000002i−2i2i−2i00−2i2i00-2200000000000000000−2i2i000000
χ552-22-22222-2-2-2-222-2-2−2i2i−2i2i222022-22-2-2-2-2-2000000002-200−2i2i−2i2i−2i2i−2i2i2-22-20000000000002-2002-200000000000000−2i2i−2i2i00−2i2i002-200000000000000000−2i2i000000
χ562-22-22222-2-2-2-222-2-2−2i2i−2i2i222022-22-2-2-2-2-200000000-2200−2i2i−2i2i−2i2i−2i2i2-22-2000000000000-2200-2200000000000000−2i2i−2i2i002i−2i00-22000000000000000002i−2i000000
χ572-22-22-1221-2-2-2-121-22i−2i2i−2i2-1-102-11-11-21-21003−33−33−32-2002i−2i2i−2i−ii−ii-11-1103−3003−33−30002-2−i3i3-1100−i3i3−i3i33−3000000−ii−ii002i−2i00-11003−3000000000−i3i300−ii000000
χ582-22-22-1221-2-2-2-121-22i−2i2i−2i2-1-102-11-11-21-21003−33−33−3-22002i−2i2i−2i−ii−ii-11-1103−3003−33−3000-22−i3i31-100−i3i3−i3i3−33000000−ii−ii00−2i2i001-100−33000000000i3−i300i−i000000
χ592-22-22-1221-2-2-2-121-22i−2i2i−2i2-1-102-11-11-21-2100−33−33−332-2002i−2i2i−2i−ii−ii-11-110−3300−33−330002-2i3−i3-1100i3−i3i3−i3−33000000−ii−ii002i−2i00-1100−33000000000i3−i300−ii000000
χ602-22-22-1221-2-2-2-121-22i−2i2i−2i2-1-102-11-11-21-2100−33−33−33-22002i−2i2i−2i−ii−ii-11-110−3300−33−33000-22i3−i31-100i3−i3i3−i33−3000000−ii−ii00−2i2i001-1003−3000000000−i3i300i−i000000
χ612-22-22-1221-2-2-2-121-2−2i2i−2i2i2-1-102-11-11-21-21003−33−33−32-200−2i2i−2i2ii−ii−i-11-1103−3003−33−30002-2i3−i3-1100i3−i3i3−i33−3000000i−ii−i00−2i2i00-11003−3000000000i3−i300i−i000000
χ622-22-22-1221-2-2-2-121-2−2i2i−2i2i2-1-102-11-11-21-21003−33−33−3-2200−2i2i−2i2ii−ii−i-11-1103−3003−33−3000-22i3−i31-100i3−i3i3−i3−33000000i−ii−i002i−2i001-100−33000000000−i3i300−ii000000
χ632-22-22-1221-2-2-2-121-2−2i2i−2i2i2-1-102-11-11-21-2100−33−33−332-200−2i2i−2i2ii−ii−i-11-110−3300−33−330002-2−i3i3-1100−i3i3−i3i3−33000000i−ii−i00−2i2i00-1100−33000000000−i3i300i−i000000
χ642-22-22-1221-2-2-2-121-2−2i2i−2i2i2-1-102-11-11-21-2100−33−33−33-2200−2i2i−2i2ii−ii−i-11-110−3300−33−33000-22−i3i31-100−i3i3−i3i33−3000000i−ii−i002i−2i001-1003−3000000000i3−i300−ii000000
χ652-2-22222-2-2-2-22-2-2222-2-222220-2-2-2-22-2-2220000000000002-2-222-2-222-2-22000000000000000000000000000000002-2-2200002-20000000000000000000002-22-200
χ662-2-22222-2-2-2-22-2-2222-2-222220-2-2-2-22-2-2220000000000002-2-222-2-222-2-22000000000000000000000000000000002-2-220000-22000000000000000000000-22-2200
χ672-2-22222-2-2-2-22-2-222-222-22220-2-2-2-22-2-222000000000000-222-2-222-22-2-2200000000000000000000000000000000-222-200002-20000000000000000000002-2-2200
χ682-2-22222-2-2-2-22-2-222-222-22220-2-2-2-22-2-222000000000000-222-2-222-22-2-2200000000000000000000000000000000-222-20000-22000000000000000000000-222-200
χ6944444-2-24-2-24-2-2-2-244444-2-214-2-211-2-2-2-21-2-2-2-211110000-2-2-2-2-2-2-2-211114-2-2-2-2111140000-2-200-2-21111000000001111000000000000000000000000000000000
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χ1268-8-88-4-4-44444-444-4-400002220-2-2-2-22-2-2220000-666-6000000000000-111-1000003-3-33000000000000000000000000000000000000000000000000000000000000

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