Finite Group Databasebeta

← Group #11775151

Character table — Group #11775151

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222222244444444444444444444444444444666666666666668888888888888888812121212121212121212121212121212122424242424242424484872727272
order12222233446666666666344444666666666121212121212121212121212121244444412121212121212121212121212121212121212121212121212444441212121212121212121212122488242424246122488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ61111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ71111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-111
χ81111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-111-1-1
χ91111-1-111-1-111-1-1111-1-1111ii−i−i-111-1-1-11-1-111-1-1iiii−i−i−i−i-1-111-1-1111111-1-1-1-1111-1-1iiiiii−i−i−i−i−i−i-1ii−i−i11-1-1iiii−i−i−i−i1-1i−iii−i−i1-1-11i−i
χ101111-1-111-1-111-1-1111-1-1111ii−i−i-111-1-1-11-1-111-1-1iiii−i−i−i−i-1-111-1-1111111-1-1-1-1111-1-1iiiiii−i−i−i−i−i−i-1ii−i−i11-1-1iiii−i−i−i−i-11−ii−i−iii-111-1−ii
χ111111-1-111-1-111-1-1111-1-1111ii−i−i-111-1-1-11-1-111-1-1iiii−i−i−i−i-1-1-1-111-1-1-1-1-1-11111111-1-1iiiiii−i−i−i−i−i−i1−i−iii-1-111−i−i−i−iiiii1-1i−iii−i−i1-11-1−ii
χ121111-1-111-1-111-1-1111-1-1111ii−i−i-111-1-1-11-1-111-1-1iiii−i−i−i−i-1-1-1-111-1-1-1-1-1-11111111-1-1iiiiii−i−i−i−i−i−i1−i−iii-1-111−i−i−i−iiiii-11−ii−i−iii-11-11i−i
χ131111-1-111-1-111-1-1111-1-1111−i−iii-111-1-1-11-1-111-1-1−i−i−i−iiiii-1-111-1-1111111-1-1-1-1111-1-1−i−i−i−i−i−iiiiiii-1−i−iii11-1-1−i−i−i−iiiii1-1−ii−i−iii1-1-11−ii
χ141111-1-111-1-111-1-1111-1-1111−i−iii-111-1-1-11-1-111-1-1−i−i−i−iiiii-1-111-1-1111111-1-1-1-1111-1-1−i−i−i−i−i−iiiiiii-1−i−iii11-1-1−i−i−i−iiiii-11i−iii−i−i-111-1i−i
χ151111-1-111-1-111-1-1111-1-1111−i−iii-111-1-1-11-1-111-1-1−i−i−i−iiiii-1-1-1-111-1-1-1-1-1-11111111-1-1−i−i−i−i−i−iiiiiii1ii−i−i-1-111iiii−i−i−i−i1-1−ii−i−iii1-11-1i−i
χ161111-1-111-1-111-1-1111-1-1111−i−iii-111-1-1-11-1-111-1-1−i−i−i−iiiii-1-1-1-111-1-1-1-1-1-11111111-1-1−i−i−i−i−i−iiiiiii1ii−i−i-1-111iiii−i−i−i−i-11i−iii−i−i-11-11−ii
χ1722222222-2-222222222222-20000222222222-2-2-2-200000000-2-22222-2-222222222-2-2-2-2-2000000000000-20000-2-2-2-20000000000000000000000
χ1822222222-2-222222222222-20000222222222-2-2-2-200000000-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-20000000000002000022220000000000000000000000
χ192222222-122-1222-12222-1-122222-1-1-1-1-1-1-1-1-1222222222222-1-100000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000002222-1-1-1-1-1-10000
χ202222222-122-1222-12222-1-122222-1-1-1-1-1-1-1-1-1222222222222-1-100000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-2-2-2-21111110000
χ212222222-122-1222-12222-1-12-2-2-2-2-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-100000000000000-1-1-1-1-11111111111110000000000000000022-2-21111-1-10000
χ222222222-122-1222-12222-1-12-2-2-2-2-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-100000000000000-1-1-1-1-111111111111100000000000000000-2-222-1-1-1-1110000
χ23222222-12222-1-1-12-1-1-1-12-1222222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ24222222-12222-1-1-12-1-1-1-12-1222222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2111111112-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-211111111111100000000000000
χ25222222-12222-1-1-12-1-1-1-12-12-2-2-2-22-1-1-1-12-1-1-1-1-1-1-11111111122222222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-2-211112-2-2-2-2-1-1-1-11111111100000000000000
χ26222222-12222-1-1-12-1-1-1-12-12-2-2-2-22-1-1-1-12-1-1-1-1-1-1-11111111122-2-2-2-2-2-2111111112-1-1-1-1-2-21111-2-21111-222221111-1-1-1-1-1-1-1-100000000000000
χ27222222-12-2-22-1-1-12-1-1-1-12-1-200002-1-1-1-12-1-1-11111−i3−i3i3i3−i3−i3i3i3-2-22222-2-2-1-1-1-1-1-1-1-1-2111100−i3−i3i3i300−i3−i3i3i3-200001111−i3−i3i3i3−i3−i3i3i300000000000000
χ28222222-12-2-22-1-1-12-1-1-1-12-1-200002-1-1-1-12-1-1-11111−i3−i3i3i3−i3−i3i3i3-2-2-2-2-2-22211111111-2111100−i3−i3i3i300−i3−i3i3i320000-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000
χ29222222-12-2-22-1-1-12-1-1-1-12-1-200002-1-1-1-12-1-1-11111i3i3−i3−i3i3i3−i3−i3-2-22222-2-2-1-1-1-1-1-1-1-1-2111100i3i3−i3−i300i3i3−i3−i3-200001111i3i3−i3−i3i3i3−i3−i300000000000000
χ30222222-12-2-22-1-1-12-1-1-1-12-1-200002-1-1-1-12-1-1-11111i3i3−i3−i3i3i3−i3−i3-2-2-2-2-2-22211111111-2111100i3i3−i3−i300i3i3−i3−i320000-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000
χ312222-2-2222222-2-2222-2-222-20000-222-2-2-22-2-2-2-222000000002222-2-2-2-22222-2-2-2-2-2-2-22200000000000020000-2-2220000000000000000000000
χ322222-2-2222222-2-2222-2-222-20000-222-2-2-22-2-2-2-2220000000022-2-22222-2-2-2-22222-2-2-222000000000000-2000022-2-20000000000000000000000
χ332222-2-22-1-2-2-12-2-2-122-2-2-1-122i2i−2i−2i1-1-1111-11122-2-22i2i2i2i−2i−2i−2i−2i1100000000000000-1-1-111−i−i−i−i−i−iiiiiii000000000000000002-22i−2i−i−iii-110000
χ342222-2-22-1-2-2-12-2-2-122-2-2-1-122i2i−2i−2i1-1-1111-11122-2-22i2i2i2i−2i−2i−2i−2i1100000000000000-1-1-111−i−i−i−i−i−iiiiiii00000000000000000-22−2i2iii−i−i1-10000
χ352222-2-22-1-2-2-12-2-2-122-2-2-1-12−2i−2i2i2i1-1-1111-11122-2-2−2i−2i−2i−2i2i2i2i2i1100000000000000-1-1-111iiiiii−i−i−i−i−i−i000000000000000002-2−2i2iii−i−i-110000
χ362222-2-22-1-2-2-12-2-2-122-2-2-1-12−2i−2i2i2i1-1-1111-11122-2-2−2i−2i−2i−2i2i2i2i2i1100000000000000-1-1-111iiiiii−i−i−i−i−i−i00000000000000000-222i−2i−i−iii1-10000
χ372222-2-2-12222-1112-1-1112-1-20000-2-1-111-2-11111-1-133−3−3−3−3332222-2-2-2-2-1-1-1-11111-211-1-10033−3−300−3−3332000011-1-133−3−3−3−33300000000000000
χ382222-2-2-12222-1112-1-1112-1-20000-2-1-111-2-11111-1-133−3−3−3−33322-2-222221111-1-1-1-1-211-1-10033−3−300−3−333-20000-1-111−3−33333−3−300000000000000
χ392222-2-2-12222-1112-1-1112-1-20000-2-1-111-2-11111-1-1−3−33333−3−32222-2-2-2-2-1-1-1-11111-211-1-100−3−3330033−3−32000011-1-1−3−33333−3−300000000000000
χ402222-2-2-12222-1112-1-1112-1-20000-2-1-111-2-11111-1-1−3−33333−3−322-2-222221111-1-1-1-1-211-1-100−3−3330033−3−3-20000-1-11133−3−3−3−33300000000000000
χ412222-2-2-12-2-22-1112-1-1112-122i2i−2i−2i-2-1-111-2-111-1-111−i−i−i−iiiii-2-222-2-222-1-1-1-111112-1-1112i2i−i−i−i−i−2i−2iiiii-22i2i−2i−2i-1-111−i−i−i−iiiii00000000000000
χ422222-2-2-12-2-22-1112-1-1112-122i2i−2i−2i-2-1-111-2-111-1-111−i−i−i−iiiii-2-2-2-222-2-21111-1-1-1-12-1-1112i2i−i−i−i−i−2i−2iiiii2−2i−2i2i2i11-1-1iiii−i−i−i−i00000000000000
χ432222-2-2-12-2-22-1112-1-1112-12−2i−2i2i2i-2-1-111-2-111-1-111iiii−i−i−i−i-2-222-2-222-1-1-1-111112-1-111−2i−2iiiii2i2i−i−i−i−i-2−2i−2i2i2i-1-111iiii−i−i−i−i00000000000000
χ442222-2-2-12-2-22-1112-1-1112-12−2i−2i2i2i-2-1-111-2-111-1-111iiii−i−i−i−i-2-2-2-222-2-21111-1-1-1-12-1-111−2i−2iiiii2i2i−i−i−i−i22i2i−2i−2i11-1-1−i−i−i−iiiii00000000000000
χ452-22-200222i−2i2-200-22-200-2201+i−1−i1−i−1+i02-2000-200002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i2i−2i002-22i−2i000022-2-20002i−2i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i01−i−1+i1+i−1−i2i−2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000
χ462-22-200222i−2i2-200-22-200-2201+i−1−i1−i−1+i02-2000-200002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i2i−2i00-22−2i2i0000-2-2220002i−2i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i0−1+i1−i−1−i1+i−2i2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000
χ472-22-200222i−2i2-200-22-200-220−1−i1+i−1+i1−i02-2000-200002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i2i−2i002-22i−2i000022-2-20002i−2i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i0−1+i1−i−1−i1+i2i−2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000
χ482-22-200222i−2i2-200-22-200-220−1−i1+i−1+i1−i02-2000-200002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i2i−2i00-22−2i2i0000-2-2220002i−2i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i01−i−1+i1+i−1−i−2i2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000
χ492-22-20022−2i2i2-200-22-200-2201−i−1+i1+i−1−i02-2000-20000−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−2i2i002-2−2i2i000022-2-2000−2i2i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i01+i−1−i1−i−1+i−2i2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000
χ502-22-20022−2i2i2-200-22-200-2201−i−1+i1+i−1−i02-2000-20000−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−2i2i00-222i−2i0000-2-222000−2i2i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i0−1−i1+i−1+i1−i2i−2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000
χ512-22-20022−2i2i2-200-22-200-220−1+i1−i−1−i1+i02-2000-20000−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2i2i002-2−2i2i000022-2-2000−2i2i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i0−1−i1+i−1+i1−i−2i2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000
χ522-22-20022−2i2i2-200-22-200-220−1+i1−i−1−i1+i02-2000-20000−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2i2i00-222i−2i0000-2-222000−2i2i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i01+i−1−i1−i−1+i2i−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000
χ532-22-200-122i−2i21−i3i3-2-11−i3i3-2-101+i−1−i1−i−1+i0-11−i3i301−i3i33−3−ii−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ222i−2i002-22i−2i−i3−i3i3i3-1-11103−3−ii1+i−1−i−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ221−i−1+i−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ2201−i−1+i1+i−1−i−ii3−3−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ2200000000000000
χ542-22-200-122i−2i21−i3i3-2-11−i3i3-2-101+i−1−i1−i−1+i0-11−i3i301−i3i33−3−ii−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ222i−2i00-22−2i2ii3i3−i3−i311-1-103−3−ii1+i−1−i−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ221−i−1+i−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ220−1+i1−i−1−i1+ii−i−33ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ2200000000000000
χ552-22-200-122i−2i21−i3i3-2-11−i3i3-2-10−1−i1+i−1+i1−i0-11−i3i301−i3i33−3−iiζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ222i−2i002-22i−2i−i3−i3i3i3-1-11103−3−ii−1−i1+iζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22−1+i1−iζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ220−1+i1−i−1−i1+i−ii3−3ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ2200000000000000
χ562-22-200-122i−2i21−i3i3-2-11−i3i3-2-10−1−i1+i−1+i1−i0-11−i3i301−i3i33−3−iiζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ222i−2i00-22−2i2ii3i3−i3−i311-1-103−3−ii−1−i1+iζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22−1+i1−iζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ2201−i−1+i1+i−1−ii−i−33−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ2200000000000000
χ572-22-200-122i−2i21i3−i3-2-11i3−i3-2-101+i−1−i1−i−1+i0-11i3−i301i3−i3−33−ii−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ142i−2i002-22i−2ii3i3−i3−i3-1-1110−33−ii1+i−1−i−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ141−i−1+i−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ1401−i−1+i1+i−1−i−ii−33−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ1400000000000000
χ582-22-200-122i−2i21i3−i3-2-11i3−i3-2-101+i−1−i1−i−1+i0-11i3−i301i3−i3−33−ii−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ142i−2i00-22−2i2i−i3−i3i3i311-1-10−33−ii1+i−1−i−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ141−i−1+i−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ140−1+i1−i−1−i1+ii−i3−3ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ1400000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.