Finite Group Databasebeta

← Group #13170736

Character table — Group #13170736

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222333344444444444444444444466666666666688888888888881212121212121212121212121212121212121212121212121212121818181818182424242424242424242436363636363636363636363636545472108
order12223336666666664444333466666666612121212121212122222121212121212121236661212121212121212124446666666612121212121212121212121212121212224444666612121212121222466661212121212124464
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-111111111111111111111111-111-1-111-1-1111111-1-111111111-1-111-1-111-1-11-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111111111-11-1-111-1-1111111-1-11111111111-1-1-1-111-1-111-11-1-1111-1-111-1-1-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-11111
χ511111111111111111111111-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ611111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-11-1-11111-111-1-1-1-111-1-1-1-111
χ711111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1111-111-1-1-111-1-1-1-111-1-111-1-111
χ811111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-11111111-1-1-1-111-1-1
χ91111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-11111111111111-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-11-1-1-111-1-1-1-1-1-1-1-11-1
χ101111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-11-1-111-1-1-1-1-1-11111-11
χ111111111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111-1-11-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11-1-111-1-11-1-1-1-11111-1-111-11
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
χ131111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-11111111-1-1-1-1-1-1-11
χ141111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-11-1-111-111-1-1-1-111-1-111111-1
χ151111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1111-111-1-111-111-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-111-1-11111-1-1-11
χ17222222-12-12-1-1222200002-1-12-1-12-1-122-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-10222222-1-1-1-10000222200000000220000-1-1-1-1-1-1-1-1-1-102000-1-100000000-10
χ18222222-12-12-1-1222200002-1-12-1-12-1-122-1-12222222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-102-222-2-2-1-111000022-2-200000000-2-20000-1-111-11-1-1110-2000110000000010
χ19222222-12-12-1-1222200002-1-12-1-12-1-122-1-122222222-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-10-22-2-22211-1-10000-2-22200000000-2-2000011-1-11-111-1-10-2000110000000010
χ20222222-12-12-1-1222200002-1-12-1-12-1-122-1-122222222-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-2-2-211110000-2-2-2-200000000220000111111111102000-1-100000000-10
χ21222222-12-12-1-1222200002-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2222200000000-1-1-1-11111111110-2-22222-1-1-1-10000-2-2-2-200000000220000-1-1-1-11111110-2000-1-10000000010
χ22222222-12-12-1-1222200002-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-222-2-200000000-1-1-1-11111111110-2222-2-2-1-1110000-2-22200000000-2-20000-1-1111-111-1-1020001100000000-10
χ23222222-12-12-1-1222200002-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2-2-22200000000-1-1-1-111111111102-2-2-22211-1-1000022-2-200000000-2-2000011-1-1-11-1-111020001100000000-10
χ24222222-12-12-1-1222200002-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-1111111111022-2-2-2-2111100002222000000002200001111-1-1-1-1-1-10-2000-1-10000000010
χ2522222-12-12-122222-12222-12-122-1-12-1-1-12-1-1-122-1-1-1-100222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-120200-1-10022-1-12200-1-1-1-1-1-1-1-1-1-100002200-1-10200-1-1200-1-1000000-1-10000
χ2622222-12-12-122222-12222-12-122-1-12-1-1-12-1-1-122-1-1-1-100-2-22222-1-1-1-1-1-1-1-1222-1-1-1-1-1-120-2001100-2-2-1-1220011-1-1-1-1-1-1-1-10000-2-200110-20011-20011000000110000
χ2722222-12-12-122222-12222-12-1-22-1-12-1-1-12-111-2-2111100222222-1-1-1-1-1-1-1-1-2-2-2111111-20-200-1-1002211-2-20011-1-1-1-1111100002200-1-10-20011-20011000000-1-10000
χ2822222-12-12-122222-12222-12-1-22-1-12-1-1-12-111-2-2111100-2-22222-1-1-1-1-1-1-1-1-2-2-2111111-202001100-2-211-2-200-1-1-1-1-1-111110000-2-200110200-1-1200-1-1000000110000
χ2922222-12-12-122222-1-2-2-2-2-12-122-1-12-1-1-12-1-1-122-1-1-1-10022-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-20200-1-1002211-2-200-1-1111111110000-2-200-1-10200-1-1-20011000000110000
χ3022222-12-12-122222-1-2-2-2-2-12-122-1-12-1-1-12-1-1-122-1-1-1-100-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-20-2001100-2-211-2-200111111111100002200110-20011200-1-1000000-1-10000
χ3122222-12-12-122222-1-2-2-2-2-12-1-22-1-12-1-1-12-111-2-211110022-2-2-2-21111-1-1-1-1-2-2-211111120-200-1-10022-1-12200111111-1-1-1-10000-2-200-1-10-20011200-1-1000000110000
χ3222222-12-12-122222-1-2-2-2-2-12-1-22-1-12-1-1-12-111-2-2111100-2-2-2-2-2-21111-1-1-1-1-2-2-2111111202001100-2-2-1-12200-1-11111-1-1-1-100002200110200-1-1-20011000000-1-10000
χ332222-12222222-1-1-122222-1-122-12-1-12-1-1-1222-1-1-1-1-1-12200-1-1-1-12222-1-1-1-12-1-122-1-1-1-1220-1-100220022-1-1-1-100-1-1-1-1-1-1-1-1002200-1-10020-1-1000020000-1-1-1-1000000
χ342222-12222222-1-1-122222-1-122-12-1-12-1-1-1222-1-1-1-1-1-1-2-200-1-1-1-12222-1-1-1-12-1-122-1-1-1-12-201100-2-20022-1-11100-1-1-1-1-1-1-1-100-2-2001100-20110000-200001111000000
χ352222-12222222-1-1-122222-1-12-2-12-1-12-1-1-12-2-21111112200-1-1-1-12222-1-1-1-1-211-2-21111-2-20-1-1002200-2-2111100-1-1-1-11111002200-1-100-20110000-2000011-1-1000000
χ362222-12222222-1-1-122222-1-12-2-12-1-12-1-1-12-2-2111111-2-200-1-1-1-12222-1-1-1-1-211-2-21111-2201100-2-200-2-211-1-100-1-1-1-1111100-2-200110020-1-1000020000-1-111000000
χ372222-12222222-1-1-12-2-2-2-2-1-122-12-1-12-1-1-1222-1-1-1-1-1-122001111-2-2-2-2-1-1-1-12-1-122-1-1-1-1-220-1-1002200-2-211-1-1001111111100-2-200-1-10020-1-10000-200001111000000
χ382222-12222222-1-1-12-2-2-2-2-1-122-12-1-12-1-1-1222-1-1-1-1-1-1-2-2001111-2-2-2-2-1-1-1-12-1-122-1-1-1-1-2-201100-2-200-2-2111100111111110022001100-2011000020000-1-1-1-1000000
χ392222-12222222-1-1-12-2-2-2-2-1-12-2-12-1-12-1-1-12-2-211111122001111-2-2-2-2-1-1-1-1-211-2-211112-20-1-100220022-1-111001111-1-1-1-100-2-200-1-100-2011000020000-1-111000000
χ402222-12222222-1-1-12-2-2-2-2-1-12-2-12-1-12-1-1-12-2-2111111-2-2001111-2-2-2-2-1-1-1-1-211-2-211112201100-2-20022-1-1-1-1001111-1-1-1-1002200110020-1-10000-2000011-1-1000000
χ4122-2-2222-2-222-22-2-2-22i2i−2i−2i2220-22-2-2-22-22-200000000002-22i2i−2i−2i2i2i−2i−2i22-2-2000000000000002-2002-2000000002i2i−2i−2i000000002i−2i002-2000000000000000002i−2i0000
χ4222-2-2222-2-222-22-2-2-22i2i−2i−2i2220-22-2-2-22-22-20000000000-222i2i−2i−2i2i2i−2i−2i22-2-200000000000000-2200-22000000002i2i−2i−2i00000000−2i2i00-2200000000000000000−2i2i0000
χ4322-2-2222-2-222-22-2-2-2−2i−2i2i2i2220-22-2-2-22-22-200000000002-2−2i−2i2i2i−2i−2i2i2i22-2-2000000000000002-2002-200000000−2i−2i2i2i00000000−2i2i002-200000000000000000−2i2i0000
χ4422-2-2222-2-222-22-2-2-2−2i−2i2i2i2220-22-2-2-22-22-20000000000-22−2i−2i2i2i−2i−2i2i2i22-2-200000000000000-2200-2200000000−2i−2i2i2i000000002i−2i00-22000000000000000002i−2i0000
χ4522-2-22-121-2-12-22-2-212i2i−2i−2i-12-10-2-11-21-11213−30033−3−3002-22i2i−2i−2i−i−iii-1-1110003−333−3−300000-11002-2−i3i300003−3−i−iii−i3−i3i3i300002i−2i00-1100003−3000−i3i3000000−ii0000
χ4622-2-22-121-2-12-22-2-212i2i−2i−2i-12-10-2-11-21-11213−30033−3−300-222i2i−2i−2i−i−iii-1-1110003−333−3−3000001-100-22−i3i30000−33−i−iii−i3−i3i3i30000−2i2i001-10000−33000i3−i3000000i−i0000
χ4722-2-22-121-2-12-22-2-212i2i−2i−2i-12-10-2-11-21-1121−3300−3−333002-22i2i−2i−2i−i−iii-1-111000−33−3−33300000-11002-2i3−i30000−33−i−iiii3i3−i3−i300002i−2i00-110000−33000i3−i3000000−ii0000
χ4822-2-22-121-2-12-22-2-212i2i−2i−2i-12-10-2-11-21-1121−3300−3−33300-222i2i−2i−2i−i−iii-1-111000−33−3−333000001-100-22i3−i300003−3−i−iiii3i3−i3−i30000−2i2i001-100003−3000−i3i3000000i−i0000
χ4922-2-22-121-2-12-22-2-21−2i−2i2i2i-12-10-2-11-21-11213−30033−3−3002-2−2i−2i2i2iii−i−i-1-1110003−333−3−300000-11002-2i3−i300003−3ii−i−ii3i3−i3−i30000−2i2i00-1100003−3000i3−i3000000i−i0000
χ5022-2-22-121-2-12-22-2-21−2i−2i2i2i-12-10-2-11-21-11213−30033−3−300-22−2i−2i2i2iii−i−i-1-1110003−333−3−3000001-100-22i3−i30000−33ii−i−ii3i3−i3−i300002i−2i001-10000−33000−i3i3000000−ii0000
χ5122-2-22-121-2-12-22-2-21−2i−2i2i2i-12-10-2-11-21-1121−3300−3−333002-2−2i−2i2i2iii−i−i-1-111000−33−3−33300000-11002-2−i3i30000−33ii−i−i−i3−i3i3i30000−2i2i00-110000−33000−i3i3000000i−i0000
χ5222-2-22-121-2-12-22-2-21−2i−2i2i2i-12-10-2-11-21-1121−3300−3−33300-22−2i−2i2i2iii−i−i-1-111000−33−3−333000001-100-22−i3i300003−3ii−i−i−i3−i3i3i300002i−2i001-100003−3000i3−i3000000−ii0000
χ532-22-222222-2-2-2-22-2-22i−2i2i−2i2220-2-2222-2-2-2-20000000000002i−2i2i−2i2i−2i2i−2i2-2-2200000000000000000000000000002i−2i2i−2i00002-200000000000000000002-20000002i−2i00
χ542-22-222222-2-2-2-22-2-22i−2i2i−2i2220-2-2222-2-2-2-20000000000002i−2i2i−2i2i−2i2i−2i2-2-2200000000000000000000000000002i−2i2i−2i0000-220000000000000000000-22000000−2i2i00
χ552-22-222222-2-2-2-22-2-2−2i2i−2i2i2220-2-2222-2-2-2-2000000000000−2i2i−2i2i−2i2i−2i2i2-2-220000000000000000000000000000−2i2i−2i2i00002-200000000000000000002-2000000−2i2i00
χ562-22-222222-2-2-2-22-2-2−2i2i−2i2i2220-2-2222-2-2-2-2000000000000−2i2i−2i2i−2i2i−2i2i2-2-220000000000000000000000000000−2i2i−2i2i0000-220000000000000000000-220000002i−2i00
χ572-2-22222-2-2-2-22-2-2222-2-2222202-2-2-2-2-22-22000000002-2002-2-222-2-222-22-20000000000002-2002-200000000002-2-220000002-2002-2000000000000000002-2000000
χ582-2-22222-2-2-2-22-2-2222-2-2222202-2-2-2-2-22-2200000000-22002-2-222-2-222-22-2000000000000-2200-2200000000002-2-22000000-2200-2200000000000000000-22000000
χ592-2-22222-2-2-2-22-2-222-222-222202-2-2-2-2-22-22000000002-200-222-2-222-22-22-20000000000002-2002-20000000000-222-2000000-22002-200000000000000000-22000000
χ602-2-22222-2-2-2-22-2-222-222-222202-2-2-2-2-22-2200000000-2200-222-2-222-22-22-2000000000000-2200-220000000000-222-20000002-200-22000000000000000002-2000000
χ612-2-22-122-2-2-2-2211-122-2-22-1-120-1-211-21-112003−33−33−32-200-111-12-2-22-11-1103−3003−33−3000-11002-200003−33−300-111-13−33−3002-200-1100003−30000000003−3-11000000
χ622-2-22-122-2-2-2-2211-122-2-22-1-120-1-211-21-112003−33−33−3-2200-111-12-2-22-11-1103−3003−33−30001-100-2200003−3−3300-111-13−33−300-22001-10000−33000000000−331-1000000
χ632-2-22-122-2-2-2-2211-122-2-22-1-120-1-211-21-11200−33−33−332-200-111-12-2-22-11-110−3300−33−33000-11002-20000−33−3300-111-1−33−33002-200-110000−33000000000−33-11000000
χ642-2-22-122-2-2-2-2211-122-2-22-1-120-1-211-21-11200−33−33−33-2200-111-12-2-22-11-110−3300−33−330001-100-220000−333−300-111-1−33−3300-22001-100003−30000000003−31-1000000
χ652-2-22-122-2-2-2-2211-12-222-2-1-120-1-211-21-112003−33−33−32-2001-1-11-222-2-11-1103−3003−33−3000-11002-20000−333−3001-1-11−33−3300-2200-1100003−3000000000−331-1000000
χ662-2-22-122-2-2-2-2211-12-222-2-1-120-1-211-21-112003−33−33−3-22001-1-11-222-2-11-1103−3003−33−30001-100-220000−33−33001-1-11−33−33002-2001-10000−330000000003−3-11000000
χ672-2-22-122-2-2-2-2211-12-222-2-1-120-1-211-21-11200−33−33−332-2001-1-11-222-2-11-110−3300−33−33000-11002-200003−3−33001-1-113−33−300-2200-110000−330000000003−31-1000000
χ682-2-22-122-2-2-2-2211-12-222-2-1-120-1-211-21-11200−33−33−33-22001-1-11-222-2-11-110−3300−33−330001-100-2200003−33−3001-1-113−33−3002-2001-100003−3000000000−33-11000000
χ6944444-2-2-2-2-2-2-2444-20000-2-214-21-2-21-2-2-21-2-244-2-2-2-20044000000001111-2-2-211111100400-2-200-2-2000000-2-20000000000000000110-2001100000000000000000
χ7044444-2-2-2-2-2-2-2444-20000-2-214-21-2-21-2-2-21-2-244-2-2-2-200-4-4000000001111-2-2-211111100-400220022000000220000000000000000-1-10200-1-100000000000000000
χ7144444-2-2-2-2-2-2-2444-20000-2-21-4-21-2-21-2-2-2122-4-422220044000000001111222-1-1-1-1-1-100-400-2-200-2-2000000220000000000000000110200-1-100000000000000000
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χ974-44-4-24444-4-4-42-22-44i−4i4i−4i-2-2402-4-2-24222-4000000000000−2i2i−2i2i4i−4i4i−4i-222-20000000000000000000000000000−2i2i−2i2i0000000000000000000000000000000000000
χ984-44-4-24444-4-4-42-22-4−4i4i−4i4i-2-2402-4-2-24222-40000000000002i−2i2i−2i−4i4i−4i4i-222-200000000000000000000000000002i−2i2i−2i0000000000000000000000000000000000000
χ994-44-4-2-24-242-4-42-2224i−4i4i−4i1-2-20221-2-2-1-12200003-3-330000−2i2i−2i2i−2i2i−2i2i1-1-11000003-3-330000000000000000000i−ii−i−3i3i3i−3i000000000000000000000000000000000
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χ1114-4-44-2-242-42-4422-2-24-4-441-2-20-22-122-112-20023−23−33−330000-222-2-222-21-11-1023−2300−33−33000000000000023−2300001-1-11−33−33000000000000000000000000000000000
χ1124-4-44-2-242-42-4422-2-24-4-441-2-20-22-122-112-200−23233−33−30000-222-2-222-21-11-10−2323003−33−30000000000000−232300001-1-113−33−3000000000000000000000000000000000
χ1134-4-44-2-242-42-4422-2-2-444-41-2-20-22-122-112-20023−23−33−3300002-2-222-2-221-11-1023−2300−33−330000000000000−23230000-111-13−33−3000000000000000000000000000000000
χ1144-4-44-2-242-42-4422-2-2-444-41-2-20-22-122-112-200−23233−33−300002-2-222-2-221-11-10−2323003−33−3000000000000023−230000-111-1−33−33000000000000000000000000000000000
χ1158888-4-4-4-4-4-4-4-4-4-4-4-400002228222222222-4-4-4-42222000000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
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χ11788-8-8-48-4-848-44-444-80000-42-40-2-44-24-44240000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
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χ11988-8-8-4-4-444-4-44-444400002220-22-2-2-22-22-2−4343002323−23−23000000000000-1-11100023−23−3−333000000000000000000000000000000000000000000000000000000000000
χ1208-88-88-4-4-4-4444-88-840000-4-4204-2-4-42444-2000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
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χ1238-88-8-4-4-4-4-44444-44400002220-2-2222-2-2-2-20000-666-6000000000000-111-1000003-3-33000000000000000000000000000000000000000000000000000000000000
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χ1268-8-88-4-4-44444-444-4-4000022202-2-2-2-2-22-2200−434323−2323−23000000000000-11-11023−2300−33−33000000000000000000000000000000000000000000000000000000000000

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