Finite Group Databasebeta

← Group #11777537

Character table — Group #11777537

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order1222444433444466666612121212121212123444466612121212121212121212121212121212121212128888242424242424242412121212121212121212121212121212888888888824242424242424242424242424242424242424244412121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111ii−i−iiiii−i−i−i−i11-1-111-1-11111-1-1-1-1i−iii−i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-11-111-1-1ii−i−ii−i
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111ii−i−iiiii−i−i−i−i11-1-111-1-11111-1-1-1-1i−iii−i−i-1-111ii−i−iiiii−i−i−i−i-1-1-1-11111-11-1-111−i−iii−ii
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111−i−iii−i−i−i−iiiii11-1-111-1-11111-1-1-1-1−ii−i−iii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-11-111-1-1−i−iii−ii
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111−i−iii−i−i−i−iiiii11-1-111-1-11111-1-1-1-1−ii−i−iii-1-111−i−iii−i−i−i−iiiii-1-1-1-11111-11-1-111ii−i−ii−i
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−iiiii−i−i−i−i-1-11111-1-1-1-1-1-11111i−i−i−iii11-1-1ii−i−i−i−i−i−iiiii1111-1-1-1-1-11-1-111ii−i−i−ii
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−iiiii−i−i−i−i-1-11111-1-1-1-1-1-11111i−i−i−iii-1-111ii−i−i−i−i−i−iiiii-1-1-1-111111-111-1-1−i−iiii−i
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-111−i−iii−i−i−i−iiiii-1-11111-1-1-1-1-1-11111−iiii−i−i11-1-1−i−iiiiiii−i−i−i−i1111-1-1-1-1-11-1-111−i−iiii−i
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-111−i−iii−i−i−i−iiiii-1-11111-1-1-1-1-1-11111−iiii−i−i-1-111−i−iiiiiii−i−i−i−i-1-1-1-111111-111-1-1ii−i−i−ii
χ172222222222-2-2-2-22222222222222220000222-2-2-2-200000000-2-22222-2-22222222222220000-2-2-2-200000000-2-200000000-2-2-2-20000000000000000000000000000
χ182222222222-2-2-2-22222222222222220000222-2-2-2-200000000-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-200000000220000000022220000000000000000000000000000
χ19222222222-122222-122-1-1-1-1-1-12222-12222-1-1-1222222222222-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002222000000000000-1-1-1-1-1-1-1-122-1-1-1-1000000
χ20222222222-122222-122-1-1-1-1-1-12222-12222-1-1-1222222222222-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000011111111-2-21111000000
χ21222222222-122222-122-1-1-1-1-1-12222-1-2-2-2-2-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10000000000001111-1-1-1-1111111110000002222000000000000-1-1-1-1-1-1-1-1-2-21111000000
χ22222222222-122222-122-1-1-1-1-1-12222-1-2-2-2-2-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10000000000001111-1-1-1-111111111000000-2-2-2-20000000000001111111122-1-1-1-1000000
χ2322222222-122222-12-1-1222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ2422222222-122222-12-1-1222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2000011111111111100000000000000000000
χ2522222222-122222-12-1-1222222-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-11111111122-1-1-1-1222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-2-20000-1-1-1-11111111100000000000000000000
χ2622222222-122222-12-1-1222222-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-11111111122-1-1-1-122-2-2-2-211111111-2-2-2-2-1-1-1-111111111-2-2222200001111-1-1-1-1-1-1-1-100000000000000000000
χ2722222222-12-2-2-2-2-12-1-1222222-1-1-1-1-10000-1-1-11111−i3−i3i3i3−i3−i3i3i3-2-2-1-1-1-1-2-22222-1-1-1-1-1-1-1-100001111−i3−i3i3i3−i3−i3i3i3-2-2000000001111−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2822222222-12-2-2-2-2-12-1-1222222-1-1-1-1-10000-1-1-11111−i3−i3i3i3−i3−i3i3i3-2-2-1-1-1-1-2-2-2-2-2-21111111100001111−i3−i3i3i3−i3−i3i3i32200000000-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000
χ2922222222-12-2-2-2-2-12-1-1222222-1-1-1-1-10000-1-1-11111i3i3−i3−i3i3i3−i3−i3-2-2-1-1-1-1-2-22222-1-1-1-1-1-1-1-100001111i3i3−i3−i3i3i3−i3−i3-2-2000000001111i3i3−i3−i3i3i3−i3−i300000000000000000000
χ3022222222-12-2-2-2-2-12-1-1222222-1-1-1-1-10000-1-1-11111i3i3−i3−i3i3i3−i3−i3-2-2-1-1-1-1-2-2-2-2-2-21111111100001111i3i3−i3−i3i3i3−i3−i32200000000-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000
χ312222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-220000222-2-2220000000022-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000-2-22200000000−2i2i00000000−2i−2i2i2i0000000000000000000000000000
χ322222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-220000222-2-2220000000022-2-2-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000-2-222000000002i−2i000000002i2i−2i−2i0000000000000000000000000000
χ332222-2-2-2-22-122-2-22-122-1-11111-2-2-2-2-122-2-2-1-1-122-2-22222-2-2-2-2111111-1-1000000000000-1-111-1-111-1-1-1-1111100000022-2-2000000000000-1-1-1-111112-2-1-111000000
χ342222-2-2-2-22-122-2-22-122-1-11111-2-2-2-2-122-2-2-1-1-122-2-22222-2-2-2-2111111-1-1000000000000-1-111-1-111-1-1-1-11111000000-2-2220000000000001111-1-1-1-1-2211-1-1000000
χ352222-2-2-2-22-122-2-22-122-1-11111-2-2-2-2-1-2-222-1-1-122-2-2-2-2-2-22222111111-1-100000000000011-1-1-1-1111111-1-1-1-100000022-2-2000000000000-1-1-1-11111-2211-1-1000000
χ362222-2-2-2-22-122-2-22-122-1-11111-2-2-2-2-1-2-222-1-1-122-2-2-2-2-2-22222111111-1-100000000000011-1-1-1-1111111-1-1-1-1000000-2-2220000000000001111-1-1-1-12-2-1-111000000
χ372222-2-2-2-2-1222-2-2-12-1-122-2-2-2-21111-122-2-2-1-1-1-1-111-1-1-1-11111-2-21111222i2i−2i−2i−i−i−i−iiiii22-2-2-1-111-1-1-1-111112i−2i2i2i−2i−2i0000−i−iii−i−i−i−iiiii00000000000000000000
χ382222-2-2-2-2-1222-2-2-12-1-122-2-2-2-21111-122-2-2-1-1-1-1-111-1-1-1-11111-2-2111122−2i−2i2i2iiiii−i−i−i−i22-2-2-1-111-1-1-1-11111−2i2i−2i−2i2i2i0000ii−i−iiiii−i−i−i−i00000000000000000000
χ392222-2-2-2-2-1222-2-2-12-1-122-2-2-2-21111-1-2-222-1-1-1-1-1111111-1-1-1-1-2-21111222i2i−2i−2i−i−i−i−iiiii-2-222-1-1111111-1-1-1-12i−2i−2i−2i2i2i0000−i−iiiiiii−i−i−i−i00000000000000000000
χ402222-2-2-2-2-1222-2-2-12-1-122-2-2-2-21111-1-2-222-1-1-1-1-1111111-1-1-1-1-2-2111122−2i−2i2i2iiiii−i−i−i−i-2-222-1-1111111-1-1-1-1−2i2i2i2i−2i−2i0000ii−i−i−i−i−i−iiiii00000000000000000000
χ412222-2-2-2-2-12-2-222-12-1-122-2-2-2-21111-10000-1-1-111-1-1−i3−i3i3i3i3i3−i3−i3221111-2-22i2i−2i−2i−i−i−i−iiiii000011-1-1−i3−i3i3i3i3i3−i3−i3−2i2i00000000ii−i−i33−3−3−3−33300000000000000000000
χ422222-2-2-2-2-12-2-222-12-1-122-2-2-2-21111-10000-1-1-111-1-1−i3−i3i3i3i3i3−i3−i3221111-2-2−2i−2i2i2iiiii−i−i−i−i000011-1-1−i3−i3i3i3i3i3−i3−i32i−2i00000000−i−iii−3−33333−3−300000000000000000000
χ432222-2-2-2-2-12-2-222-12-1-122-2-2-2-21111-10000-1-1-111-1-1i3i3−i3−i3−i3−i3i3i3221111-2-22i2i−2i−2i−i−i−i−iiiii000011-1-1i3i3−i3−i3−i3−i3i3i3−2i2i00000000ii−i−i−3−33333−3−300000000000000000000
χ442222-2-2-2-2-12-2-222-12-1-122-2-2-2-21111-10000-1-1-111-1-1i3i3−i3−i3−i3−i3i3i3221111-2-2−2i−2i2i2iiiii−i−i−i−i000011-1-1i3i3−i3−i3−i3−i3i3i32i−2i00000000−i−iii33−3−3−3−33300000000000000000000
χ4522-2-222-2-222000022-2-2-2-222-2-222-2-2200002-2-20000000000000022-2-2002-22-222-2-222-2-200000000000000000000002−22−200000000000022−2−222−2−20000002−22−200
χ4622-2-222-2-222000022-2-2-2-222-2-222-2-2200002-2-20000000000000022-2-2002-22-222-2-222-2-20000000000000000000000−22−22000000000000−2−222−2−222000000−22−2200
χ4722-2-222-2-222000022-2-2-2-222-2-222-2-2200002-2-20000000000000022-2-200-22-22-2-222-2-22200000000000000000000002−22−200000000000022−2−222−2−2000000−22−2200
χ4822-2-222-2-222000022-2-2-2-222-2-222-2-2200002-2-20000000000000022-2-200-22-22-2-222-2-2220000000000000000000000−22−22000000000000−2−222−2−2220000002−22−200
χ4922-2-2-2-22222000022-2-2-2-2-2-222-2-222200002-2-200000000000000-2-222002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000002−2−2200000000000022−2−2−2−222000000i2−i2−i2i200
χ5022-2-2-2-22222000022-2-2-2-2-2-222-2-222200002-2-200000000000000-2-222002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000−222−2000000000000−2−22222−2−2000000−i2i2i2−i200
χ5122-2-2-2-22222000022-2-2-2-2-2-222-2-222200002-2-200000000000000-2-22200−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000002−2−2200000000000022−2−2−2−222000000−i2i2i2−i200
χ5222-2-2-2-22222000022-2-2-2-2-2-222-2-222200002-2-200000000000000-2-22200−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000−222−2000000000000−2−22222−2−2000000i2−i2−i2i200
χ532-22-22i−2i2i−2i222-22i−2i-2-22-22-22i−2i2i−2i2i−2i2i−2i20000-22-22-22i−2i000000002i−2i2i−2i2i−2i2-200000000000000002-22i−2i00000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000000000000000
χ542-22-22i−2i2i−2i222-22i−2i-2-22-22-22i−2i2i−2i2i−2i2i−2i20000-22-22-22i−2i000000002i−2i2i−2i2i−2i2-200000000000000002-22i−2i0000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000000000000000
χ552-22-22i−2i2i−2i22-22−2i2i-2-22-22-22i−2i2i−2i2i−2i2i−2i22-22i−2i-22-2-22−2i2i2-22-22i−2i2i−2i−2i2i2i−2i2i−2i-220000000000002-22i−2i-22−2i2i2-22-22i−2i2i−2i000000000000000000000000000000000000000000
χ562-22-22i−2i2i−2i22-22−2i2i-2-22-22-22i−2i2i−2i2i−2i2i−2i2-22−2i2i-22-2-22−2i2i-22-22−2i2i−2i2i−2i2i2i−2i2i−2i-22000000000000-22−2i2i-22−2i2i-22-22−2i2i−2i2i000000000000000000000000000000000000000000
χ572-22-22i−2i2i−2i2-1-22−2i2i-212-2-11−ii−ii2i−2i2i−2i-12-22i−2i1-11-22−2i2i2-22-22i−2i2i−2ii−i−ii−ii1-1000000000000-11−ii1-1i−i-11-11−ii−ii00000000000000000000003−33−3−i3i3−i3i3003−3−i3i3000000
χ582-22-22i−2i2i−2i2-1-22−2i2i-212-2-11−ii−ii2i−2i2i−2i-12-22i−2i1-11-22−2i2i2-22-22i−2i2i−2ii−i−ii−ii1-1000000000000-11−ii1-1i−i-11-11−ii−ii0000000000000000000000−33−33i3−i3i3−i300−33i3−i3000000
χ592-22-22i−2i2i−2i2-1-22−2i2i-212-2-11−ii−ii2i−2i2i−2i-1-22−2i2i1-11-22−2i2i-22-22−2i2i−2i2ii−i−ii−ii1-10000000000001-1i−i1-1i−i1-11-1i−ii−i00000000000000000000003−33−3−i3i3−i3i300−33i3−i3000000
χ602-22-22i−2i2i−2i2-1-22−2i2i-212-2-11−ii−ii2i−2i2i−2i-1-22−2i2i1-11-22−2i2i-22-22−2i2i−2i2ii−i−ii−ii1-10000000000001-1i−i1-1i−i1-11-1i−ii−i0000000000000000000000−33−33i3−i3i3−i3003−3−i3i3000000
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χ1204-4-44−4i4i4i−4i4-20000-42-442-22i−2i−2i2i−4i4i4i−4i-2000022-2000000000000002i−2i−2i2i0000000000000000000000000000000000000000000000000000−666−6−i6i6i6−i6000000000000
χ1214-4-44−4i4i4i−4i-2400002-42-2-44−4i4i4i−4i2i−2i−2i2i-2000022-2000000000000002i−2i−2i2i0000002ζ5−2ζ13−2ζ5+2ζ13−2ζ5+2ζ132ζ5−2ζ13−2ζ7+2ζ232ζ7−2ζ232ζ7−2ζ23−2ζ7+2ζ230000000000000000000000000000000000000000000000000000000000
χ1224-4-44−4i4i4i−4i-2400002-42-2-44−4i4i4i−4i2i−2i−2i2i-2000022-2000000000000002i−2i−2i2i000000−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ132ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ230000000000000000000000000000000000000000000000000000000000
χ12388-8-888-8-8-4-40000-4-44444-4-444-4-444200002-2-20000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8-8-888-4-40000-4-4444444-4-444-4-4200002-2-200000000000000-2-222000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-888i−8i−8i8i-4-40000444-44-4−4i4i4i−4i−4i4i4i−4i20000-2-22000000000000002i−2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88−8i8i8i−8i-4-40000444-44-44i−4i−4i4i4i−4i−4i4i20000-2-2200000000000000−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.