Finite Group Databasebeta

← Group #13168041

Character table — Group #13168041

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order1222333666666666333466666666612121212121212122222444412121212121212123666121212121212121212446666666612121212121212121212121212121212444466661212121212122244661212121212121212644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11-1-1
χ3111111111111111111111111111111111111111-1-111111111111111111111111111-111-1-111-1-111-1-111111111111111-1-111-1-11-111-1-1-1-11-1-1-111-1-111-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-1-1-1-11-1-1-1-111-1-111-111
χ51111111111111111111111111111111111111-1-1111111111111111111111111111-11-1-111-1-111-1-111111111111111-1-111-1-111-11-1-111-1-1-11-1-1-1-111-1-111-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11-1-111-1-11-1-1-111-1-111-1-1-111
χ71111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11-1-111111-1-1-1-111-11-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-11-11-111-1-11111-1-1-1-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-11-1-111-11-1-1-1-11111-1-1-1-11-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-11-1-111-1111-1-1-1-1-1-1111111-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1111-1-1-1-1-1-111111-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1111-111-1-1-11-1-1-1-11111-1-1-1-111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-11111111-11-111-1-11111-1-1-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-11111111-1-111111-1-1-1-111-1-11
χ17222222-1-1-1-12222222-1-12-1-12-1-122-1-1222222222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-122220000000000000000-1-1-1-1-1-1-1-1-1-12200-1-100000000-100
χ18222222-1-1-1-12222222-1-12-1-12-1-122-1-12222222222-2-2000000000000-1-1-1-1-1-1-1-1-1-1-1-1-12-222-2-2-1-11122-2-20000000000000000-1-111-11-1-111-2-2001100000000100
χ19222222-1-1-1-12222222-1-12-1-12-1-122-1-122222222-2-222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-22211-1-1-2-222000000000000000011-1-11-111-1-1-2-2001100000000100
χ20222222-1-1-1-12222222-1-12-1-12-1-122-1-122222222-2-2-2-2000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-2-2-2-2000000000000000011111111112200-1-100000000-100
χ21222222-1-1-1-12222222-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-22222000000000000-1-1-1-1111111111-2-22222-1-1-1-1-2-2-2-20000000000000000-1-1-1-11111112-200-1-100000000100
χ22222222-1-1-1-12222222-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-222-2-2000000000000-1-1-1-1111111111-2222-2-2-1-111-2-2220000000000000000-1-1111-111-1-1-22001100000000-100
χ23222222-1-1-1-12222222-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2-2-222000000000000-1-1-1-11111111112-2-2-22211-1-122-2-2000000000000000011-1-1-11-1-111-22001100000000-100
χ24222222-1-1-1-12222222-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2-2-2-2-2000000000000-1-1-1-111111111122-2-2-2-21111222200000000000000001111-1-1-1-1-1-12-200-1-100000000100
χ2522222-122222-12-12-1-12-122-1-12-1-1-12-122-1-1-1-1-1-100222222-1-1-1-12222-1-1-1-1222-1-1-1-1-1-10200-1-1002200-1-122-1-1-1-1-1-1-1-1-1-1002200-1-10200-1-100020000-1-100-1-1000
χ2622222-122222-12-12-1-12-122-1-12-1-1-12-122-1-1-1-1-1-10022-2-2-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-10200-1-1002200-1-1-2-2111111111100-2-200-1-10200-1-1000-20000110011000
χ2722222-122222-12-12-1-12-122-1-12-1-1-12-122-1-1-1-1-1-100-2-22222-1-1-1-12222-1-1-1-1222-1-1-1-1-1-10-2001100-2-2001122-1-1-1-1-1-1-1-1-1-100-2-200110-20011000-20000110011000
χ2822222-122222-12-12-1-12-122-1-12-1-1-12-122-1-1-1-1-1-100-2-2-2-2-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-2001100-2-20011-2-21111111111002200110-2001100020000-1-100-1-1000
χ2922222-122222-12-12-1-12-1-22-1-12-1-1-12-1-2-2111111002222-2-2-1-1-1-1-2-2-2-2-1-1-1-1-2-2-21111110-200-1-1002200112211-1-1-1-1111100-2-200-1-10-20011000200001100-1-1000
χ3022222-122222-12-12-1-12-1-22-1-12-1-1-12-1-2-21111110022-2-22211112222-1-1-1-1-2-2-21111110-200-1-100220011-2-2-1-11111-1-1-1-1002200-1-10-20011000-20000-1-10011000
χ3122222-122222-12-12-1-12-1-22-1-12-1-1-12-1-2-211111100-2-222-2-2-1-1-1-1-2-2-2-2-1-1-1-1-2-2-211111102001100-2-200-1-12211-1-1-1-11111002200110200-1-1000-20000-1-10011000
χ3222222-122222-12-12-1-12-1-22-1-12-1-1-12-1-2-211111100-2-2-2-22211112222-1-1-1-1-2-2-211111102001100-2-200-1-1-2-2-1-11111-1-1-1-100-2-200110200-1-1000200001100-1-1000
χ332222-122222-12-12-12-1-122-12-1-12-1-1-12-1-122-1-1-1-1220022222222-1-1-1-1-1-1-1-12-1-122-1-1-1-120-1-1002200-1-100-1-122-1-1-1-1-1-1-1-12200-1-10020-1-100002000-1-100-1-100000
χ342222-122222-12-12-12-1-122-12-1-12-1-1-12-1-122-1-1-1-12200-2-2-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-120-1-1002200-1-10011-2-211111111-2-200-1-10020-1-10000-200011001100000
χ352222-122222-12-12-12-1-122-12-1-12-1-1-12-1-122-1-1-1-1-2-20022222222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-201100-2-2001100-1-122-1-1-1-1-1-1-1-1-2-2001100-20110000-200011001100000
χ362222-122222-12-12-12-1-122-12-1-12-1-1-12-1-122-1-1-1-1-2-200-2-2-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-201100-2-200110011-2-21111111122001100-201100002000-1-100-1-100000
χ372222-122222-12-12-12-1-12-2-12-1-12-1-1-1211-2-21111220022-2-222221111-1-1-1-1-211-2-21111-20-1-10022001100-1-1-2-2-1-1-1-111112200-1-100-20110000-2000-1-1001100000
χ382222-122222-12-12-12-1-12-2-12-1-12-1-1-1211-2-211112200-2-222-2-2-2-2-1-1-1-1-1-1-1-1-211-2-21111-20-1-1002200110011221111-1-1-1-1-2-200-1-100-2011000020001100-1-100000
χ392222-122222-12-12-12-1-12-2-12-1-12-1-1-1211-2-21111-2-20022-2-222221111-1-1-1-1-211-2-21111201100-2-200-1-100-1-1-2-2-1-1-1-11111-2-200110020-1-1000020001100-1-100000
χ402222-122222-12-12-12-1-12-2-12-1-12-1-1-1211-2-21111-2-200-2-222-2-2-2-2-1-1-1-1-1-1-1-1-211-2-21111201100-2-200-1-10011221111-1-1-1-12200110020-1-10000-2000-1-1001100000
χ4122-2-2222-22-22-2-2-2-222220-22-2-2-22-22-200000000002-2002i−2i00002i2i−2i−2i22-2-200000000000002-2002-20000002i−2i00002i2i−2i−2i002i−2i002-2000000000000002i−2i0000000
χ4222-2-2222-22-22-2-2-2-222220-22-2-2-22-22-200000000002-200−2i2i0000−2i−2i2i2i22-2-200000000000002-2002-2000000−2i2i0000−2i−2i2i2i00−2i2i002-200000000000000−2i2i0000000
χ4322-2-2222-22-22-2-2-2-222220-22-2-2-22-22-20000000000-22002i−2i00002i2i−2i−2i22-2-20000000000000-2200-220000002i−2i00002i2i−2i−2i00−2i2i00-2200000000000000−2i2i0000000
χ4422-2-2222-22-22-2-2-2-222220-22-2-2-22-22-20000000000-2200−2i2i0000−2i−2i2i2i22-2-20000000000000-2200-22000000−2i2i0000−2i−2i2i2i002i−2i00-22000000000000002i−2i0000000
χ4522-2-22-12-22-221-21-2-1-12-10-2-11-21-1121003−333−3−3002-2002i−2i−i3−i3i3i32i2i−2i−2i-1-1110003−333−3−30000-11002-2003−300−ii−i3−i3i3i3−i−iii002i−2i00-1100003−300000000−ii00−i3i3000
χ4622-2-22-12-22-221-21-2-1-12-10-2-11-21-1121003−333−3−3002-200−2i2ii3i3−i3−i3−2i−2i2i2i-1-1110003−333−3−30000-11002-2003−300i−ii3i3−i3−i3ii−i−i00−2i2i00-1100003−300000000i−i00i3−i3000
χ4722-2-22-12-22-221-21-2-1-12-10-2-11-21-1121003−333−3−300-22002i−2i−i3−i3i3i32i2i−2i−2i-1-1110003−333−3−300001-100-2200−3300−ii−i3−i3i3i3−i−iii00−2i2i001-10000−3300000000i−i00i3−i3000
χ4822-2-22-12-22-221-21-2-1-12-10-2-11-21-1121003−333−3−300-2200−2i2ii3i3−i3−i3−2i−2i2i2i-1-1110003−333−3−300001-100-2200−3300i−ii3i3−i3−i3ii−i−i002i−2i001-10000−3300000000−ii00−i3i3000
χ4922-2-22-12-22-221-21-2-1-12-10-2-11-21-112100−33−3−333002-2002i−2ii3i3−i3−i32i2i−2i−2i-1-111000−33−3−3330000-11002-200−3300−iii3i3−i3−i3−i−iii002i−2i00-110000−3300000000−ii00i3−i3000
χ5022-2-22-12-22-221-21-2-1-12-10-2-11-21-112100−33−3−333002-200−2i2i−i3−i3i3i3−2i−2i2i2i-1-111000−33−3−3330000-11002-200−3300i−i−i3−i3i3i3ii−i−i00−2i2i00-110000−3300000000i−i00−i3i3000
χ5122-2-22-12-22-221-21-2-1-12-10-2-11-21-112100−33−3−33300-22002i−2ii3i3−i3−i32i2i−2i−2i-1-111000−33−3−33300001-100-22003−300−iii3i3−i3−i3−i−iii00−2i2i001-100003−300000000i−i00−i3i3000
χ5222-2-22-12-22-221-21-2-1-12-10-2-11-21-112100−33−3−33300-2200−2i2i−i3−i3i3i3−2i−2i2i2i-1-111000−33−3−33300001-100-22003−300i−i−i3−i3i3i3ii−i−i002i−2i001-100003−300000000−ii00i3−i3000
χ532-22-2222-2-22-22-2-22-222202-2-2-2-2-22-22000000002-2002i−2i002i−2i2i−2i00002-22-2000000000002-2002-20000002i−2i002i−2i2i−2i00002i−2i002-2000000000000002i−2i000000000
χ542-22-2222-2-22-22-2-22-222202-2-2-2-2-22-22000000002-200−2i2i00−2i2i−2i2i00002-22-2000000000002-2002-2000000−2i2i00−2i2i−2i2i0000−2i2i002-200000000000000−2i2i000000000
χ552-22-2222-2-22-22-2-22-222202-2-2-2-2-22-2200000000-22002i−2i002i−2i2i−2i00002-22-200000000000-2200-220000002i−2i002i−2i2i−2i0000−2i2i00-2200000000000000−2i2i000000000
χ562-22-2222-2-22-22-2-22-222202-2-2-2-2-22-2200000000-2200−2i2i00−2i2i−2i2i00002-22-200000000000-2200-22000000−2i2i00−2i2i−2i2i00002i−2i00-22000000000000002i−2i000000000
χ572-22-2-122-2-22121-2-1-2-1-120-1-211-21-1123−3003−33−32-2002i−2i002i−2i2i−2i−i3i3−i3i3-11-1103−3003−33−300-11002-2003−300−ii00−ii−ii−i3i3−i3i32i−2i00-1100003−300000000−ii00−i3i300000
χ582-22-2-122-2-22121-2-1-2-1-120-1-211-21-1123−3003−33−32-200−2i2i00−2i2i−2i2ii3−i3i3−i3-11-1103−3003−33−300-11002-2003−300i−i00i−ii−ii3−i3i3−i3−2i2i00-1100003−300000000i−i00i3−i300000
χ592-22-2-122-2-22121-2-1-2-1-120-1-211-21-1123−3003−33−3-22002i−2i002i−2i2i−2i−i3i3−i3i3-11-1103−3003−33−3001-100-2200−3300−ii00−ii−ii−i3i3−i3i3−2i2i001-10000−3300000000i−i00i3−i300000
χ602-22-2-122-2-22121-2-1-2-1-120-1-211-21-1123−3003−33−3-2200−2i2i00−2i2i−2i2ii3−i3i3−i3-11-1103−3003−33−3001-100-2200−3300i−i00i−ii−ii3−i3i3−i32i−2i001-10000−3300000000−ii00−i3i300000
χ612-22-2-122-2-22121-2-1-2-1-120-1-211-21-112−3300−33−332-2002i−2i002i−2i2i−2ii3−i3i3−i3-11-110−3300−33−3300-11002-200−3300−ii00−ii−iii3−i3i3−i32i−2i00-110000−3300000000−ii00i3−i300000
χ622-22-2-122-2-22121-2-1-2-1-120-1-211-21-112−3300−33−332-200−2i2i00−2i2i−2i2i−i3i3−i3i3-11-110−3300−33−3300-11002-200−3300i−i00i−ii−i−i3i3−i3i3−2i2i00-110000−3300000000i−i00−i3i300000
χ632-22-2-122-2-22121-2-1-2-1-120-1-211-21-112−3300−33−33-22002i−2i002i−2i2i−2ii3−i3i3−i3-11-110−3300−33−33001-100-22003−300−ii00−ii−iii3−i3i3−i3−2i2i001-100003−300000000i−i00−i3i300000
χ642-22-2-122-2-22121-2-1-2-1-120-1-211-21-112−3300−33−33-2200−2i2i00−2i2i−2i2i−i3i3−i3i3-11-110−3300−33−33001-100-22003−300i−i00i−ii−i−i3i3−i3i32i−2i001-100003−300000000−ii00i3−i300000
χ6544444-2-2-2-2-24-24-24-2-2-214-21-2-21-2-2-2144-2-2-2-2-2-200440000000000001111-2-2-21111110400-2-200-2-200-2-2000000000000000000110-2001100000000000000000
χ6644444-2-2-2-2-24-24-24-2-2-214-21-2-21-2-2-2144-2-2-2-2-2-200-4-40000000000001111-2-2-21111110-4002200220022000000000000000000-1-10200-1-100000000000000000
χ6744444-2-2-2-2-24-24-24-2-2-21-4-21-2-21-2-2-21-4-422222200440000000000001111222-1-1-1-1-1-10-400-2-200-2-20022000000000000000000110200-1-100000000000000000
χ6844444-2-2-2-2-24-24-24-2-2-21-4-21-2-21-2-2-21-4-422222200-4-40000000000001111222-1-1-1-1-1-1040022002200-2-2000000000000000000-1-10-2001100000000000000000
χ694444-24-2-2-2-2-24-24-24-21-241-2-21-2-2-21-2-2-244-2-2-2-244000000000000001111-211-2-2111140-2-200-2-200-2-20000000000000000001100-20110000000000000000000
χ704444-24-2-2-2-2-24-24-24-21-241-2-21-2-2-21-2-2-244-2-2-2-2-4-4000000000000001111-211-2-21111-402200220022000000000000000000-1-10020-1-10000000000000000000
χ714444-24-2-2-2-2-24-24-24-21-2-41-2-21-2-2-21-222-4-42222440000000000000011112-1-122-1-1-1-1-40-2-200-2-20022000000000000000000110020-1-10000000000000000000
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χ1238-8-88-4-4-4-44444-4-4442220-2-2222-2-2-2-20000-666-60000000000000000-111-1000003-3-33000000000000000000000000000000000000000000000000000000000

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