Finite Group Databasebeta

← Group #13170762

Character table — Group #13170762

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222333344444444444444444444466666666666688888888888881212121212121212121212121212121212121212121212121212121818181818182424242424242424242436363636363636363636363636545472108
order12223336666666664444333466666666612121212121212122222121212121212121236661212121212121212122446666666666666666121212121212121222444466661212121212122446612121212121212124464
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-111111111111111111111111-1111111-1-111-1-1111111-1-11111-1-111-1-111-1-11-111-1-1-11-1-1-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111111111-111111-1-111-1-1111111-1-1111111-1-1-1-111-1-111-11-1-111-1-11-1-1-1-111-1-111-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ611111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-11-1-1111-11-1-1-1-11111-1-1-1-111
χ711111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1111-111-1-111-1-1-111-1-1-1-111-1-111
χ811111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-111111111-1-1-1-111-1-1
χ91111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-11111111111111-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1
χ101111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-1-1-11-1-1-1-111-1-11111-11
χ111111111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-11-1-111-11-1-1-111-1-111-1-111-11
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
χ131111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11
χ141111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111111-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-11-1-11111-1-1-111-1-1-1-111111-1
χ151111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111-111-1-11-11-1-1-1-11111-1-1111-1
χ161111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1111111-1-1-111-1-1-1-11111-1-1-11
χ17222222-1-122-1-1222200002-1-1222-1-1-1-1-1-1222222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-102200002222-1-1-1-1000022220000220000-1-1-1-1-1-1-1-1-1-1200-1-10000000000-10
χ18222222-1-122-1-1222200002-1-1222-1-1-1-1-1-122222222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-102-2000022-2-2-1-111000022-2-20000-2-20000-1-111-11-1-111-20011000000000010
χ19222222-1-122-1-1222200002-1-1222-1-1-1-1-1-1222222222-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-10-220000-2-22211-1-10000-2-2220000-2-2000011-1-11-111-1-1-20011000000000010
χ20222222-1-122-1-1222200002-1-1222-1-1-1-1-1-1222222222-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-20000-2-2-2-211110000-2-2-2-200002200001111111111200-1-10000000000-10
χ21222222-1-122-1-1222200002-1-1-222-1-1-1-1-1-12-2-2-2-2-2-2-2-2222200000000-1-1-1-11111111110-2-200002222-1-1-1-10000-2-2-2-20000220000-1-1-1-1111111-200-1-1000000000010
χ22222222-1-122-1-1222200002-1-1-222-1-1-1-1-1-12-2-2-2-2-2-2-2-222-2-200000000-1-1-1-11111111110-22000022-2-2-1-1110000-2-2220000-2-20000-1-1111-111-1-1200110000000000-10
χ23222222-1-122-1-1222200002-1-1-222-1-1-1-1-1-12-2-2-2-2-2-2-2-2-2-22200000000-1-1-1-111111111102-20000-2-22211-1-1000022-2-20000-2-2000011-1-1-11-1-111200110000000000-10
χ24222222-1-122-1-1222200002-1-1-222-1-1-1-1-1-12-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-11111111110220000-2-2-2-211110000222200002200001111-1-1-1-1-1-1-200-1-1000000000010
χ2522222-1222-1222-12-12222-12-12-1-12-12-12-1-122-1-1-1-1-1-100222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-120222-1-100-1-10022-1-1-1-100-1-1-1-1-1-100002200-1-10200-1-10020000-1-100-1-10000
χ2622222-1222-1222-12-12222-12-12-1-12-12-12-1-122-1-1-1-1-1-100-2-22222-1-1-1-1-1-1-1-1222-1-1-1-1-1-120-222-1-1001100-2-2-1-1-1-10011-1-1-1-10000-2-200110-2001100-200001100110000
χ2722222-1222-1222-12-12222-12-1-2-1-12-12-12-1-1-2-211111100222222-1-1-1-1-1-1-1-1-2-2-2111111-20-2-2-21100-1-1002211110011-1-1-1-100002200-1-10-2001100-200001100-1-10000
χ2822222-1222-1222-12-12222-12-1-2-1-12-12-12-1-1-2-211111100-2-22222-1-1-1-1-1-1-1-1-2-2-2111111-202-2-211001100-2-2111100-1-1-1-1-1-10000-2-200110200-1-10020000-1-100110000
χ2922222-1222-1222-12-1-2-2-2-2-12-12-1-12-12-12-1-122-1-1-1-1-1-10022-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-202-2-21100-1-10022111100-1-111110000-2-200-1-10200-1-100-200001100110000
χ3022222-1222-1222-12-1-2-2-2-2-12-12-1-12-12-12-1-122-1-1-1-1-1-100-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-20-2-2-211001100-2-211110011111100002200110-200110020000-1-100-1-10000
χ3122222-1222-1222-12-1-2-2-2-2-12-1-2-1-12-12-12-1-1-2-21111110022-2-2-2-21111-1-1-1-1-2-2-211111120-222-1-100-1-10022-1-1-1-1001111110000-2-200-1-10-200110020000-1-100110000
χ3222222-1222-1222-12-1-2-2-2-2-12-1-2-1-12-12-12-1-1-2-211111100-2-2-2-2-2-21111-1-1-1-1-2-2-211111120222-1-1001100-2-2-1-1-1-100-1-1111100002200110200-1-100-200001100-1-10000
χ332222-1222-1222-12-122222-1-122-1-1-12-12-12-1-1-122-1-1-1-12200-1-1-1-12222-1-1-1-12-1-122-1-1-1-1220-1-122-1-1002200-1-1-1-1-1-100-1-1-1-1002200-1-10020-1-10002000-1-100-1-1000000
χ342222-1222-1222-12-122222-1-122-1-1-12-12-12-1-1-122-1-1-1-1-2-200-1-1-1-12222-1-1-1-12-1-122-1-1-1-12-20-1-1221100-2-200-1-1-1-11100-1-1-1-100-2-2001100-2011000-2000110011000000
χ352222-1222-1222-12-122222-1-12-2-1-1-12-12-12-111-2-211112200-1-1-1-12222-1-1-1-1-211-2-21111-2-2011-2-2-1-100220011111100-1-1-1-1002200-1-100-2011000-20001100-1-1000000
χ362222-1222-1222-12-122222-1-12-2-1-1-12-12-12-111-2-21111-2-200-1-1-1-12222-1-1-1-1-211-2-21111-22011-2-21100-2-2001111-1-100-1-1-1-100-2-200110020-1-10002000-1-10011000000
χ372222-1222-1222-12-12-2-2-2-2-1-122-1-1-12-12-12-1-1-122-1-1-1-122001111-2-2-2-2-1-1-1-12-1-122-1-1-1-1-22011-2-2-1-10022001111-1-100111100-2-200-1-10020-1-1000-2000110011000000
χ382222-1222-1222-12-12-2-2-2-2-1-122-1-1-12-12-12-1-1-122-1-1-1-1-2-2001111-2-2-2-2-1-1-1-12-1-122-1-1-1-1-2-2011-2-21100-2-2001111110011110022001100-20110002000-1-100-1-1000000
χ392222-1222-1222-12-12-2-2-2-2-1-12-2-1-1-12-12-12-111-2-2111122001111-2-2-2-2-1-1-1-1-211-2-211112-20-1-122-1-1002200-1-1-1-11100111100-2-200-1-100-20110002000-1-10011000000
χ402222-1222-1222-12-12-2-2-2-2-1-12-2-1-1-12-12-12-111-2-21111-2-2001111-2-2-2-2-1-1-1-1-211-2-21111220-1-1221100-2-200-1-1-1-1-1-1001111002200110020-1-1000-20001100-1-1000000
χ4122-2-2222-22-22-2-22-2-22i2i−2i−2i22202-2-22-2-22-2-200000000002-22i2i−2i−2i2i2i−2i−2i22-2-20000000000000000002-2002-2000000002i2i−2i−2i00002i−2i002-2000000000000000002i−2i0000
χ4222-2-2222-22-22-2-22-2-22i2i−2i−2i22202-2-22-2-22-2-20000000000-222i2i−2i−2i2i2i−2i−2i22-2-2000000000000000000-2200-22000000002i2i−2i−2i0000−2i2i00-2200000000000000000−2i2i0000
χ4322-2-2222-22-22-2-22-2-2−2i−2i2i2i22202-2-22-2-22-2-200000000002-2−2i−2i2i2i−2i−2i2i2i22-2-20000000000000000002-2002-200000000−2i−2i2i2i0000−2i2i002-200000000000000000−2i2i0000
χ4422-2-2222-22-22-2-22-2-2−2i−2i2i2i22202-2-22-2-22-2-20000000000-22−2i−2i2i2i−2i−2i2i2i22-2-2000000000000000000-2200-2200000000−2i−2i2i2i00002i−2i00-22000000000000000002i−2i0000
χ4522-2-22-12-2212-2-2-1-212i2i−2i−2i-12-10-11-2-1-21211003−333−3−3002-22i2i−2i−2i−i−iii-1-1110003−333−3−300000−i3i300-11002-2−i3−i3i3i3003−3−i−iii00002i−2i00-1100003−30000000−i3i300−ii0000
χ4622-2-22-12-2212-2-2-1-212i2i−2i−2i-12-10-11-2-1-21211003−333−3−300-222i2i−2i−2i−i−iii-1-1110003−333−3−300000−i3i3001-100-22−i3−i3i3i300−33−i−iii0000−2i2i001-10000−330000000i3−i300i−i0000
χ4722-2-22-12-2212-2-2-1-212i2i−2i−2i-12-10-11-2-1-2121100−33−3−333002-22i2i−2i−2i−i−iii-1-111000−33−3−33300000i3−i300-11002-2i3i3−i3−i300−33−i−iii00002i−2i00-110000−330000000i3−i300−ii0000
χ4822-2-22-12-2212-2-2-1-212i2i−2i−2i-12-10-11-2-1-2121100−33−3−33300-222i2i−2i−2i−i−iii-1-111000−33−3−33300000i3−i3001-100-22i3i3−i3−i3003−3−i−iii0000−2i2i001-100003−30000000−i3i300i−i0000
χ4922-2-22-12-2212-2-2-1-21−2i−2i2i2i-12-10-11-2-1-21211003−333−3−3002-2−2i−2i2i2iii−i−i-1-1110003−333−3−300000i3−i300-11002-2i3i3−i3−i3003−3ii−i−i0000−2i2i00-1100003−30000000i3−i300i−i0000
χ5022-2-22-12-2212-2-2-1-21−2i−2i2i2i-12-10-11-2-1-21211003−333−3−300-22−2i−2i2i2iii−i−i-1-1110003−333−3−300000i3−i3001-100-22i3i3−i3−i300−33ii−i−i00002i−2i001-10000−330000000−i3i300−ii0000
χ5122-2-22-12-2212-2-2-1-21−2i−2i2i2i-12-10-11-2-1-2121100−33−3−333002-2−2i−2i2i2iii−i−i-1-111000−33−3−33300000−i3i300-11002-2−i3−i3i3i300−33ii−i−i0000−2i2i00-110000−330000000−i3i300i−i0000
χ5222-2-22-12-2212-2-2-1-21−2i−2i2i2i-12-10-11-2-1-2121100−33−3−33300-22−2i−2i2i2iii−i−i-1-111000−33−3−33300000−i3i3001-100-22−i3−i3i3i3003−3ii−i−i00002i−2i001-100003−30000000i3−i300−ii0000
χ532-22-2222-2-22-222-2-2-22i−2i2i−2i2220-222-2-2-2-22-2000000002-2002i−2i2i−2i2i−2i2i−2i2-22-200000000000000002-2002-200000000002i−2i2i−2i002i−2i002-2000000000000000002i−2i000000
χ542-22-2222-2-22-222-2-2-22i−2i2i−2i2220-222-2-2-2-22-200000000-22002i−2i2i−2i2i−2i2i−2i2-22-20000000000000000-2200-2200000000002i−2i2i−2i00−2i2i00-2200000000000000000−2i2i000000
χ552-22-2222-2-22-222-2-2-2−2i2i−2i2i2220-222-2-2-2-22-2000000002-200−2i2i−2i2i−2i2i−2i2i2-22-200000000000000002-2002-20000000000−2i2i−2i2i00−2i2i002-200000000000000000−2i2i000000
χ562-22-2222-2-22-222-2-2-2−2i2i−2i2i2220-222-2-2-2-22-200000000-2200−2i2i−2i2i−2i2i−2i2i2-22-20000000000000000-2200-220000000000−2i2i−2i2i002i−2i00-22000000000000000002i−2i000000
χ572-22-2-122-212-22-1-21-22i−2i2i−2i-1-1201-1-1-21-21213−3003−33−32-200−ii−ii2i−2i2i−2i-11-1103−3003−33−3000−i3i300-11002-200−i3i3−i3i33−300−ii−ii002i−2i00-1100003−30000000−i3i300−ii000000
χ582-22-2-122-212-22-1-21-22i−2i2i−2i-1-1201-1-1-21-21213−3003−33−3-2200−ii−ii2i−2i2i−2i-11-1103−3003−33−3000−i3i3001-100-2200−i3i3−i3i3−3300−ii−ii00−2i2i001-10000−330000000i3−i300i−i000000
χ592-22-2-122-212-22-1-21-22i−2i2i−2i-1-1201-1-1-21-2121−3300−33−332-200−ii−ii2i−2i2i−2i-11-110−3300−33−33000i3−i300-11002-200i3−i3i3−i3−3300−ii−ii002i−2i00-110000−330000000i3−i300−ii000000
χ602-22-2-122-212-22-1-21-22i−2i2i−2i-1-1201-1-1-21-2121−3300−33−33-2200−ii−ii2i−2i2i−2i-11-110−3300−33−33000i3−i3001-100-2200i3−i3i3−i33−300−ii−ii00−2i2i001-100003−30000000−i3i300i−i000000
χ612-22-2-122-212-22-1-21-2−2i2i−2i2i-1-1201-1-1-21-21213−3003−33−32-200i−ii−i−2i2i−2i2i-11-1103−3003−33−3000i3−i300-11002-200i3−i3i3−i33−300i−ii−i00−2i2i00-1100003−30000000i3−i300i−i000000
χ622-22-2-122-212-22-1-21-2−2i2i−2i2i-1-1201-1-1-21-21213−3003−33−3-2200i−ii−i−2i2i−2i2i-11-1103−3003−33−3000i3−i3001-100-2200i3−i3i3−i3−3300i−ii−i002i−2i001-10000−330000000−i3i300−ii000000
χ632-22-2-122-212-22-1-21-2−2i2i−2i2i-1-1201-1-1-21-2121−3300−33−332-200i−ii−i−2i2i−2i2i-11-110−3300−33−33000−i3i300-11002-200−i3i3−i3i3−3300i−ii−i00−2i2i00-110000−330000000−i3i300i−i000000
χ642-22-2-122-212-22-1-21-2−2i2i−2i2i-1-1201-1-1-21-2121−3300−33−33-2200i−ii−i−2i2i−2i2i-11-110−3300−33−33000−i3i3001-100-2200−i3i3−i3i33−300i−ii−i002i−2i001-100003−30000000i3−i300−ii000000
χ652-2-222222-2-2-2-2-2-2222-2-222220-2-2-2-222-2-220000000000002-2-222-2-222-2-22000000000000000000000000000000002-2-222-2000000000000000002-2000000002-200
χ662-2-222222-2-2-2-2-2-2222-2-222220-2-2-2-222-2-220000000000002-2-222-2-222-2-22000000000000000000000000000000002-2-22-2200000000000000000-2200000000-2200
χ672-2-222222-2-2-2-2-2-222-222-22220-2-2-2-222-2-22000000000000-222-2-222-22-2-2200000000000000000000000000000000-222-22-2000000000000000002-200000000-2200
χ682-2-222222-2-2-2-2-2-222-222-22220-2-2-2-222-2-22000000000000-222-2-222-22-2-2200000000000000000000000000000000-222-2-2200000000000000000-22000000002-200
χ6944444-2-2-24-2-2-24-24-20000-2-214-2-2-21-21-21-244-2-2-2-2-2-20044000000001111-2-2-2111111004000000-2-200-2-2000000-2-2000000000000110-2001100000000000000000
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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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χ1208-88-88-4-44-8-44-484-840000-4-4204-4-4-24-2424000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
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χ1238-8-888-4-4-4-8444-848-40000-4-420444-2-424-2-4000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
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χ1268-8-88-4-4-4-4444444-4-400002220-2-2-2-222-2-220000-666-6000000000000-111-1000003-3-33000000000000000000000000000000000000000000000000000000000000

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