Finite Group Databasebeta

← Group #13168203

Character table — Group #13168203

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1111222222222222222222444444444444444444444444666666668888888888121212121212121212121212121212121212121212121212121212121212121212121212121218181818181824242424242436363636363636363636367272108108
order122233344666666666121212123336666666661212121212121212121212124444121212123666121212121212444412121212121212121212121212121212121212121212121212121212121212121212222244121212121212444666612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-111111-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-111111111111111-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-111111111111111-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-111
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
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1111-111-1-1-11-111-1-111-1-11-11-1
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-11-1-111-1-11-1-11111-1-1-11-11
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-11-1111-1-1-1-111-11-11
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11-11-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-11-1-11111-1-1-111-1-1111-11-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-1111-1-111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-11-111-1-111-1-1-111-1-1111-1-11
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-11-1-1111-1111-1-1-1-111-111-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111111-111-1-1-1-11-1-11111-1-1-111-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1111111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-11-1-111-11-111-1-111-1-11-1-11
χ17222222-12222-1-12-122222222-1-1-12-1-122-1-1-122-1-12222-1-1-1-12200-1-1-1-1-1-1-1-1-1-1-1-1-1-10222-1-100-1-1-1-12222000000-1-1-1-1-1-1-1-10000000022220022-1-1-1-1000-1-1-1-100000000
χ18222222-12222-1-12-122222222-1-1-12-1-122-1-1-122-1-12222-1-1-1-12200-1-1-1-1-1-1-1-1-1-1-1-1-1-10-2-22-1-10011112222000000-1-1-1-1-1-1-1-100000000-2-2-2-200-2-21111000111100000000
χ19222222-12222-1-12-122222222-1-1-12-1-122-1-1-122-1-12222-1-1-1-1-2-2001111-1-1-1-1-1-1-1-1-1-1022-21100-1-1-1-1-2-2-2-20000001111111100000000-2-2-2-20022-1-1-1-1000111100000000
χ20222222-12222-1-12-122222222-1-1-12-1-122-1-1-122-1-12222-1-1-1-1-2-2001111-1-1-1-1-1-1-1-1-1-10-2-2-211001111-2-2-2-20000001111111100000000222200-2-21111000-1-1-1-100000000
χ21222222-1-2-222-1-12-1222-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-211112200-1-1-1-1-1-1-1-111111102-2-21100-1-11122-2-2000000-1-1-1-111110000000022-2-2002-2-1-111000-1-11100000000
χ22222222-1-2-222-1-12-1222-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-211112200-1-1-1-1-1-1-1-11111110-22-2110011-1-122-2-2000000-1-1-1-1111100000000-2-22200-2211-1-100011-1-100000000
χ23222222-1-2-222-1-12-1222-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-21111-2-2001111-1-1-1-111111102-22-1-100-1-111-2-2220000001111-1-1-1-100000000-2-222002-2-1-11100011-1-100000000
χ24222222-1-2-222-1-12-1222-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-21111-2-2001111-1-1-1-11111110-222-1-10011-1-1-2-2220000001111-1-1-1-10000000022-2-200-2211-1-1000-1-11100000000
χ2522222-12222-12222-1-12-1-1-1-1-12-12-12-1-1-1-1-122222-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1200222220000-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000220000002000000-1-1-1-10000
χ2622222-12222-12222-1-12-1-1-1-1-12-12-12-1-1-1-1-122222-1-1-1-1-1-1-1-122-2-22222-1-1-1-122-1-1-1-1-200222-2-20000-1-1-1-11111-2-2-1-1-1-1-1-1-1-1111111110000-2-2000000-200000011110000
χ2722222-12222-12222-1-12-1-1-1-1-12-12-12-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-122-1-1-1-1200-2-2-22200001111-1-1-1-12211111111-1-1-1-1-1-1-1-10000-2-2000000-200000011110000
χ2822222-12222-12222-1-12-1-1-1-1-12-12-12-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-200-2-2-2-2-2000011111111-2-211111111111111110000220000002000000-1-1-1-10000
χ2922222-12-2-22-12222-1-121111-12-12-12-1-1-1-1-12-2-2-2-21111111122222222-1-1-1-1-2-21111-200-2-2-2-2-20000-1-111-1-11122-1-1-1-11111-1-1-1-11111000022000000-2000000-1-1110000
χ3022222-12-2-22-12222-1-121111-12-12-12-1-1-1-1-12-2-2-2-21111111122-2-22222-1-1-1-1-2-21111200-2-2-2220000-1-11111-1-1-2-2-1-1-1-111111111-1-1-1-10000-2-2000000200000011-1-10000
χ3122222-12-2-22-12222-1-121111-12-12-12-1-1-1-1-12-2-2-2-211111111-2-222-2-2-2-2-1-1-1-1-2-21111-200222-2-2000011-1-1-1-111221111-1-1-1-1-1-1-1-111110000-2-2000000200000011-1-10000
χ3222222-12-2-22-12222-1-121111-12-12-12-1-1-1-1-12-2-2-2-211111111-2-2-2-2-2-2-2-2-1-1-1-1-2-2111120022222000011-1-111-1-1-2-21111-1-1-1-11111-1-1-1-1000022000000-2000000-1-1110000
χ332222-12222-1222-1222-12222-1-12-1-1-12-1-122-1-1-122-1-1-1-1222200220000-1-1-1-1-1-1-1-1-1-1222000-1-1222200002222-1-100000000-1-1-1-1-1-1-1-1000000-1-1-1-1-1-102200000000-1-100
χ342222-12222-1222-1222-12222-1-12-1-1-12-1-122-1-1-122-1-1-1-1222200220000-1-1-1-1-1-1-1-1-1-12-2-2000-1-1-2-2-2-200002222-1-100000000-1-1-1-1-1-1-1-10000001111110-2-2000000001100
χ352222-12222-1222-1222-12222-1-12-1-1-12-1-122-1-1-122-1-1-1-1222200-2-20000-1-1-1-1-1-1-1-1-1-1-2220001122220000-2-2-2-2110000000011111111000000-1-1-1-1-1-10-2-2000000001100
χ362222-12222-1222-1222-12222-1-12-1-1-12-1-122-1-1-122-1-1-1-1222200-2-20000-1-1-1-1-1-1-1-1-1-1-2-2-200011-2-2-2-20000-2-2-2-211000000001111111100000011111102200000000-1-100
χ372222-122-2-2-1222-1222-1-2-2-2-2-1-12-1-1-12-1-122-111-2-21111-2-2-2-200220000-1-1-1-1111111-22-20001122-2-2000022-2-2-1-100000000-1-1-1-11111000000-11-1-11102-200000000-1100
χ382222-122-2-2-1222-1222-1-2-2-2-2-1-12-1-1-12-1-122-111-2-21111-2-2-2-200220000-1-1-1-1111111-2-2200011-2-222000022-2-2-1-100000000-1-1-1-111110000001-111-1-10-22000000001-100
χ392222-122-2-2-1222-1222-1-2-2-2-2-1-12-1-1-12-1-122-111-2-21111-2-2-2-200-2-20000-1-1-1-111111122-2000-1-122-2-20000-2-22211000000001111-1-1-1-1000000-11-1-1110-22000000001-100
χ402222-122-2-2-1222-1222-1-2-2-2-2-1-12-1-1-12-1-122-111-2-21111-2-2-2-200-2-20000-1-1-1-11111112-22000-1-1-2-2220000-2-22211000000001111-1-1-1-10000001-111-1-102-200000000-1100
χ4122-2-22222-2222-2-2-2-2-2-222-2-2222-2222-2-2-2-2-22-22-222-2-222-2-2000000002-2-222-222-2-2000000000000000000000000000000000000002-22-2000000000002-22-200000000
χ4222-2-22222-2222-2-2-2-2-2-222-2-2222-2222-2-2-2-2-22-22-222-2-222-2-2000000002-2-222-222-2-200000000000000000000000000000000000000-22-2200000000000-22-2200000000
χ4322-2-2222-22222-2-2-2-2-2-2-2-222222-2222-2-2-2-2-2-22-22-2-222-2-222000000002-2-22-22-2-222000000000000000000000000000000000000002-2-22000000000002-2-2200000000
χ4422-2-2222-22222-2-2-2-2-2-2-2-222222-2222-2-2-2-2-2-22-22-2-222-2-222000000002-2-22-22-2-22200000000000000000000000000000000000000-222-200000000000-222-200000000
χ4522-2-222-12-222-11-21-2-2-222-2-22-1-112-1-1-2-21112-2-1122-2-2-1-111000033−3−3-111-1-11-1-11100003−3003−33−3000000000033−3−333−3−3000000002-22-200003−33−3000-11-1100000000
χ4622-2-222-12-222-11-21-2-2-222-2-22-1-112-1-1-2-21112-2-1122-2-2-1-111000033−3−3-111-1-11-1-11100003−300−33−33000000000033−3−333−3−300000000-22-220000−33−330001-11-100000000
χ4722-2-222-12-222-11-21-2-2-222-2-22-1-112-1-1-2-21112-2-1122-2-2-1-1110000−3−333-111-1-11-1-1110000−33003−33−30000000000−3−333−3−33300000000-22-2200003−33−30001-11-100000000
χ4822-2-222-12-222-11-21-2-2-222-2-22-1-112-1-1-2-21112-2-1122-2-2-1-1110000−3−333-111-1-11-1-1110000−3300−33−330000000000−3−333−3−333000000002-22-20000−33−33000-11-1100000000
χ4922-2-222-1-2222-11-21-2-2-2-2-2222-1-112-1-1-2-2111-221-1-2-22211-1-1000033−3−3-111-11-111-1-10000−33003−3−33000000000033−3−3−3−333000000002-2-2200003−3−33000-111-100000000
χ5022-2-222-1-2222-11-21-2-2-2-2-2222-1-112-1-1-2-2111-221-1-2-22211-1-1000033−3−3-111-11-111-1-10000−3300−333−3000000000033−3−3−3−33300000000-222-20000−333−30001-1-1100000000
χ5122-2-222-1-2222-11-21-2-2-2-2-2222-1-112-1-1-2-2111-221-1-2-22211-1-10000−3−333-111-11-111-1-100003−3003−3−330000000000−3−33333−3−300000000-222-200003−3−330001-1-1100000000
χ5222-2-222-1-2222-11-21-2-2-2-2-2222-1-112-1-1-2-2111-221-1-2-22211-1-10000−3−333-111-11-111-1-100003−300−333−30000000000−3−33333−3−3000000002-2-220000−333−3000-111-100000000
χ532-22-222200-2-2-2-2222-2-20000222-2-2-2-22-22-220000000000002-22i−2i2-22-222-2-20000000000000000002-2002i−2i002i−2i2-22-200002i2i−2i−2i000000002i−2i00000000000002i−2i000000
χ542-22-222200-2-2-2-2222-2-20000222-2-2-2-22-22-220000000000002-2−2i2i2-22-222-2-20000000000000000002-200−2i2i00−2i2i2-22-20000−2i−2i2i2i00000000−2i2i0000000000000−2i2i000000
χ552-22-222200-2-2-2-2222-2-20000222-2-2-2-22-22-22000000000000-222i−2i-22-2222-2-2000000000000000000-22002i−2i002i−2i-22-2200002i2i−2i−2i00000000−2i2i0000000000000−2i2i000000
χ562-22-222200-2-2-2-2222-2-20000222-2-2-2-22-22-22000000000000-22−2i2i-22-2222-2-2000000000000000000-2200−2i2i00−2i2i-22-220000−2i−2i2i2i000000002i−2i00000000000002i−2i000000
χ572-22-22-1200-21-2-222-11-23−33−3-12-1-21-21-11-11200003−33−33−33−32-22i−2i2-22-2-1-111003−33−3000000000000-113−3−ii−i3i32i−2i-11-113−33−3−i−iii−i3−i3i3i300002i−2i0000000000000−ii−i3i30000
χ582-22-22-1200-21-2-222-11-23−33−3-12-1-21-21-11-11200003−33−33−33−32-2−2i2i2-22-2-1-111003−33−3000000000000-113−3i−ii3−i3−2i2i-11-113−33−3ii−i−ii3i3−i3−i30000−2i2i0000000000000i−ii3−i30000
χ592-22-22-1200-21-2-222-11-23−33−3-12-1-21-21-11-11200003−33−33−33−3-222i−2i-22-22-1-111003−33−30000000000001-1−33−ii−i3i32i−2i1-11-1−33−33−i−iii−i3−i3i3i30000−2i2i0000000000000i−ii3−i30000
χ602-22-22-1200-21-2-222-11-23−33−3-12-1-21-21-11-11200003−33−33−33−3-22−2i2i-22-22-1-111003−33−30000000000001-1−33i−ii3−i3−2i2i1-11-1−33−33ii−i−ii3i3−i3−i300002i−2i0000000000000−ii−i3i30000
χ612-22-22-1200-21-2-222-11-2−33−33-12-1-21-21-11-1120000−33−33−33−332-22i−2i2-22-2-1-11100−33−33000000000000-11−33−iii3−i32i−2i-11-11−33−33−i−iiii3i3−i3−i300002i−2i0000000000000−iii3−i30000
χ622-22-22-1200-21-2-222-11-2−33−33-12-1-21-21-11-1120000−33−33−33−332-2−2i2i2-22-2-1-11100−33−33000000000000-11−33i−i−i3i3−2i2i-11-11−33−33ii−i−i−i3−i3i3i30000−2i2i0000000000000i−i−i3i30000
χ632-22-22-1200-21-2-222-11-2−33−33-12-1-21-21-11-1120000−33−33−33−33-222i−2i-22-22-1-11100−33−330000000000001-13−3−iii3−i32i−2i1-11-13−33−3−i−iiii3i3−i3−i30000−2i2i0000000000000i−i−i3i30000
χ642-22-22-1200-21-2-222-11-2−33−33-12-1-21-21-11-1120000−33−33−33−33-22−2i2i-22-22-1-11100−33−330000000000001-13−3i−i−i3i3−2i2i1-11-13−33−3ii−i−i−i3−i3i3i300002i−2i0000000000000−iii3−i30000
χ6544444-2-2444-2-2-24-2-2-24-2-2-2-2-2-21-2-2-21-2-211-244-2-2-2-2-2-211114400-2-2-2-21111-2-211110004-2-2000000-2-2-2-20000001111111100000000000000000000000000000000000
χ6644444-2-2444-2-2-24-2-2-24-2-2-2-2-2-21-2-2-21-2-211-244-2-2-2-2-2-21111-4-40022221111-2-21111000-4220000002222000000-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ6744444-2-2-4-44-2-2-24-2-2-242222-2-21-2-2-21-2-211-2-4-4222222-1-1-1-14400-2-2-2-2111122-1-1-1-1000-422000000-2-2220000001111-1-1-1-100000000000000000000000000000000000
χ6844444-2-2-4-44-2-2-24-2-2-242222-2-21-2-2-21-2-211-2-4-4222222-1-1-1-1-4-4002222111122-1-1-1-10004-2-200000022-2-2000000-1-1-1-1111100000000000000000000000000000000000
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χ12388-8-8-4-4-4-88-4-4-444444444-4-4222-2222-2-2-2-2-24-44-4-2-222-2-22200000000-111-1-2211-1-100000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).