Finite Group Databasebeta

← Group #13168585

Character table — Group #13168585

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order12223336666666663334666666666121212121212121244444412121212366612121212121212121222266661212121212121212121212121212121212124444666666666612124444121212121212441212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111111111-1-111-1-11-111-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111-111-1-111111111-1-1-1-111111111-1-1-1-111-11-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-11
χ51111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-11-1-1-1-111-1-11-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-111-1-1-1-1-1-1-111-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-11-1-1-11111-1-111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-11111111111-1-1-1-111111-1-1-1-1-111-1-111-11-1-1-1-11111-1-1-11-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-11111111111-1-1-1-1-1-111-11-11-1-1-1-11111-1-111-1-111-1-1111-11-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-1111-1-1-1-11111-1-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-111111-1-111-1-11-11-111-1-111-1-1-1-111
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11111-1-1-1-1111111-1-11-1-1-1-1-111-1-1111-11-111-1-11111-1-11-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-1-1-1-1111111-1111-1-1-1-1-1-111-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111-11-11111-1-1-1-1-1-111-1-111-1-1-1-11-111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-111111-1-111-1-1-11-1-1-1-1111111-11-1-1
χ17222222-1-12222-12-122-1-12-1-1-12-1-122-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-100000022-1-100000000220022-1-1-1-1-1-1-1-1-1-100020000-1-100-1000
χ18222222-1-12222-12-122-1-12-1-1-12-1-122-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2221100000022-1-100000000-2-200-2-2-11-1-11111-1-1000-2000011001000
χ19222222-1-12222-12-122-1-12-1-1-12-1-122-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-222-2-2-1-1000000-2-21100000000-2-200221-111-1-1-1-111000-2000011001000
χ20222222-1-12222-12-122-1-12-1-1-12-1-122-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211000000-2-211000000002200-2-2111111111100020000-1-100-1000
χ21222222-1-12222-12-122-1-1-2-1-1-12-1-122-1-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-22-2-2-2-1-100000022-1-10000000022002-21111-1-111-1-1000-20000-1-1001000
χ22222222-1-12222-12-122-1-1-2-1-1-12-1-122-1-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-2-22-2-21100000022-1-100000000-2-200-221-11111-1-1-1-1000200001100-1000
χ23222222-1-12222-12-122-1-1-2-1-1-12-1-122-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-111111111122-222-1-1000000-2-21100000000-2-2002-2-11-1-1-1-11111000200001100-1000
χ24222222-1-12222-12-122-1-1-2-1-1-12-1-122-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-11111111112-222211000000-2-211000000002200-22-1-1-1-111-1-111000-20000-1-1001000
χ2522222-122-1-122222-1-12-122-1-1-12-1-1-1222-1-1-1-1-1-12200222222-1-1-1-1222-1-1-1-1-1-10220022-1-1-1-1220000-1-1-1-1-1-1-1-10000-1-10200-1-1-1-1000220000000000-1-10
χ2622222-122-1-122222-1-12-122-1-1-12-1-1-1222-1-1-1-1-1-12200222222-1-1-1-1222-1-1-1-1-1-10-2-200-2-2-1-1-1-1220000-1-1-1-1-1-1-1-10000110-2001111000-2-20000000000110
χ2722222-122-1-122222-1-12-122-1-1-12-1-1-1222-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-102200221111-2-20000111111110000-1-10200-1-1-1-1000-2-20000000000110
χ2822222-122-1-122222-1-12-122-1-1-12-1-1-1222-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-2-200-2-21111-2-20000111111110000110-2001111000220000000000-1-10
χ2922222-122-1-122222-1-12-1-22-1-1-12-1-1-12-2-21111112200-2-2-2-2-2-2-1-1-1-1-2-2-211111102-20022-1-111220000-1-1-1-111110000-110-200-1-1110002-20000000000-110
χ3022222-122-1-122222-1-12-1-22-1-1-12-1-1-12-2-21111112200-2-2-2-2-2-2-1-1-1-1-2-2-21111110-2200-2-2-1-111220000-1-1-1-1111100001-1020011-1-1000-2200000000001-10
χ3122222-122-1-122222-1-12-1-22-1-1-12-1-1-12-2-2111111-2-200222222-1-1-1-1-2-2-211111102-2002211-1-1-2-200001111-1-1-1-10000-110-200-1-111000-2200000000001-10
χ3222222-122-1-122222-1-12-1-22-1-1-12-1-1-12-2-2111111-2-200222222-1-1-1-1-2-2-21111110-2200-2-211-1-1-2-200001111-1-1-1-100001-1020011-1-10002-20000000000-110
χ332222-122222-1-12-122-1-122-122-1-12-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-1200-1-1002222-1-1-1-122-1-1-1-1-1-1-1-100220020-1-10000-1-12000-1-1-1-100000000
χ342222-122222-1-12-122-1-122-122-1-12-1-1-1-1-122-1-1-1-122-2-222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-20011002222-1-111-2-2-1-1-1-1-1-1-1-100-2-200-2011000011-2000111100000000
χ352222-122222-1-12-122-1-122-122-1-12-1-1-1-1-122-1-1-1-1-2-222-2-21111-1-1-1-12-1-122-1-1-1-1200-1-100-2-2-2-211-1-1221111111100-2-20020-1-10000-1-1-2000111100000000
χ362222-122222-1-12-122-1-122-122-1-12-1-1-1-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-2001100-2-2-2-21111-2-211111111002200-20110000112000-1-1-1-100000000
χ372222-122222-1-12-122-1-12-2-122-1-12-1-1-111-2-211112222-2-21111-1-1-1-1-211-2-21111-200110022-2-2-1-1-1-122-1-1-1-11111002200-20110000-1-1-200011-1-100000000
χ382222-122222-1-12-122-1-12-2-122-1-12-1-1-111-2-2111122-2-2-2-21111-1-1-1-1-211-2-21111200-1-10022-2-2-1-111-2-2-1-1-1-1111100-2-20020-1-10000112000-1-11100000000
χ392222-122222-1-12-122-1-12-2-122-1-12-1-1-111-2-21111-2-22222-1-1-1-1-1-1-1-1-211-2-21111-2001100-2-22211-1-1221111-1-1-1-100-2-200-20110000-1-12000-1-11100000000
χ402222-122222-1-12-122-1-12-2-122-1-12-1-1-111-2-21111-2-2-2-222-1-1-1-1-1-1-1-1-211-2-21111200-1-100-2-2221111-2-21111-1-1-1-100220020-1-1000011-200011-1-100000000
χ4122-2-2222-22-22-2-2-22-22220-22-2-2-2-22-220000000000002i−2i2i2i−2i−2i22-2-20000000000000000002i−2i00000000002i2i−2i−2i2-200000000000000000000002-22i−2i0000
χ4222-2-2222-22-22-2-2-22-22220-22-2-2-2-22-220000000000002i−2i2i2i−2i−2i22-2-20000000000000000002i−2i00000000002i2i−2i−2i-220000000000000000000000-22−2i2i0000
χ4322-2-2222-22-22-2-2-22-22220-22-2-2-2-22-22000000000000−2i2i−2i−2i2i2i22-2-2000000000000000000−2i2i0000000000−2i−2i2i2i2-200000000000000000000002-2−2i2i0000
χ4422-2-2222-22-22-2-2-22-22220-22-2-2-2-22-22000000000000−2i2i−2i−2i2i2i22-2-2000000000000000000−2i2i0000000000−2i−2i2i2i-220000000000000000000000-222i−2i0000
χ452-2-222222-22-2-2-22-2-222202-22-2-2-2-22-2000000002i−2i2i−2i0000002-22-200000000000000002i−2i002i−2i2i−2i2i−2i2i2i−2i−2i0000002-200000000002i−2i0000002-200000000
χ462-2-222222-22-2-2-22-2-222202-22-2-2-2-22-2000000002i−2i−2i2i0000002-22-200000000000000002i−2i002i−2i−2i2i−2i2i2i2i−2i−2i000000-220000000000−2i2i000000-2200000000
χ472-2-222222-22-2-2-22-2-222202-22-2-2-2-22-200000000−2i2i2i−2i0000002-22-20000000000000000−2i2i00−2i2i2i−2i2i−2i−2i−2i2i2i000000-2200000000002i−2i000000-2200000000
χ482-2-222222-22-2-2-22-2-222202-22-2-2-2-22-200000000−2i2i−2i2i0000002-22-20000000000000000−2i2i00−2i2i−2i2i−2i2i−2i−2i2i2i0000002-20000000000−2i2i0000002-200000000
χ492-2-22-1222-2211-2-1-2-2-1-120-1-2211-21-113−30033−3−32i−2i2i−2i00−i3i3−i3i3-11-1103−30033−3−3000−i3i3002i−2i00−ii−ii2i−2i−i−iii−i3i3−i3i3002-20000−i3i30000−ii00003−3-1100000000
χ502-2-22-1222-2211-2-1-2-2-1-120-1-2211-21-113−30033−3−32i−2i−2i2i00−i3i3−i3i3-11-1103−30033−3−3000i3−i3002i−2i00−iii−i−2i2i−i−iii−i3i3−i3i300-220000i3−i30000i−i0000−331-100000000
χ512-2-22-1222-2211-2-1-2-2-1-120-1-2211-21-113−30033−3−3−2i2i2i−2i00i3−i3i3−i3-11-1103−30033−3−3000−i3i300−2i2i00i−i−ii2i−2iii−i−ii3−i3i3−i300-220000−i3i30000−ii0000−331-100000000
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χ1178-8-88-4-4-4-44-4444-44422202-22-2-2-2-22-2−4343002323−23−230000000000-11-11023−2300−3−333000000000000000000000000000000000000000000000000000000000

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