Finite Group Databasebeta

← Group #11785323

Character table — Group #11785323

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order122244442233446666661212121212121212223446666666666612121212121212121212121244441212121212121212666666661212121212121212444444444412121212121212121212121212121212121212128824242424444488
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
χ51111111111111111111111111111-1-11-1-1111-1-1-1-111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111-1-11-1-1111-1-1-1-111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ71111111111111111111111111111-1-11-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111111111-1-11-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-11-111-1-1ii−i−i11-1-11111-1-1-1-1iiii−i−i−i−ii−iii−i−iii−i−ii−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-11-111-1-1−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−ii−i−iii−i−iii−ii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-111-1-1-1-1-11-1-111ii−i−i-1-111-1-1-1-11111iiii−i−i−i−ii−iii−i−i−i−iii−ii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-111-1-1-1-1-11-1-111−i−iii-1-111-1-1-1-11111−i−i−i−iiiii−ii−i−iiiii−i−ii−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111ii−i−i11-1-1-1-1-1-11111iiii−i−i−i−i−ii−i−iiiii−i−i−ii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111−i−iii11-1-1-1-1-1-11111−i−i−i−iiiiii−iii−i−i−i−iiii−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1111-1-1ii−i−i-1-1111111-1-1-1-1iiii−i−i−i−i−ii−i−iii−i−iiii−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1111-1-1−i−iii-1-1111111-1-1-1-1−i−i−i−iiiiii−iii−i−iii−i−i−ii
χ1722222222222-122222-1-1-122-1-1-1-12222-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ1822222222222-122222-1-1-122-1-1-1-12222-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2000011111111111100000000000000000000
χ1922222222222-122222-1-1-122-1-1-1-122-2-2-1-2-22-1-11111-1-1-1222-1-11111-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-1-11111-2-2-1-1111122-2-2-2-20000-1-1-1-11111111100000000000000000000
χ2022222222222-122222-1-1-122-1-1-1-122-2-2-1-2-22-1-11111-1-1-1222-1-11111-1-1-1-1-2-2-2-211111111-2-2-1-11111-2-2-1-11111-2-2222200001111-1-1-1-1-1-1-1-100000000000000000000
χ212222222222-1222-1-1-1222-1-12222-1-122-122-1222222-1-1-1-1-1-1222222-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002222000000000000-1-1-1-1-1-1-1-122-1-1-1-1000000
χ222222222222-1222-1-1-1222-1-12222-1-122-122-1222222-1-1-1-1-1-1222222-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000011111111-2-21111000000
χ232222222222-1222-1-1-1222-1-12222-1-1-2-2-1-2-2-122-2-2-2-2-1-1-1-1-1-122-2-2-2-2-1-1-1-100000000000011-1-1111111-1-111110000002222000000000000-1-1-1-1-1-1-1-1-2-21111000000
χ242222222222-1222-1-1-1222-1-12222-1-1-2-2-1-2-2-122-2-2-2-2-1-1-1-1-1-122-2-2-2-2-1-1-1-100000000000011-1-1111111-1-11111000000-2-2-2-20000000000001111111122-1-1-1-1000000
χ2522222222-2-222-2-22222222222222200200-2-2-20000222-2-2-2-2-20000222222222222222200-2-2000000-2-20000-2-200000000-2-2-2-20000000000000000000000000000
χ2622222222-2-222-2-22222222222222200200-2-2-20000222-2-2-2-2-200002222-2-2-2-2-2-2-2-2-2-2-2-200-2-2000000-2-20000220000000022220000000000000000000000000000
χ2722222222-2-22-1-2-2222-1-1-122-1-1-1-12200-100-211−i3−i3i3i3-1-1-1-2-2-211−i3−i3i3i3-1-1-1-12222-1-1-1-1-1-1-1-10011−i3−i3i3i30011−i3−i3i3i3-2-2000000001111−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2822222222-2-22-1-2-2222-1-1-122-1-1-1-12200-100-211−i3−i3i3i3-1-1-1-2-2-211−i3−i3i3i3-1-1-1-1-2-2-2-2111111110011−i3−i3i3i30011−i3−i3i3i32200000000-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000
χ2922222222-2-22-1-2-2222-1-1-122-1-1-1-12200-100-211i3i3−i3−i3-1-1-1-2-2-211i3i3−i3−i3-1-1-1-12222-1-1-1-1-1-1-1-10011i3i3−i3−i30011i3i3−i3−i3-2-2000000001111i3i3−i3−i3i3i3−i3−i300000000000000000000
χ3022222222-2-22-1-2-2222-1-1-122-1-1-1-12200-100-211i3i3−i3−i3-1-1-1-2-2-211i3i3−i3−i3-1-1-1-1-2-2-2-2111111110011i3i3−i3−i30011i3i3−i3−i32200000000-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-20020022200002222-2-2-2-20000-2-2-2-222-2-22222-2-2-2-20022000000-2-20000-2200000000-2-2220000000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-20020022200002222-2-2-2-20000-2-2-2-2-2-222-2-2-2-222220022000000-2-200002-20000000022-2-20000000000000000000000000000
χ332222-2-2-2-2222-1-2-2222-1-1-1-2-21111-2-200-1002-1-1−i3−i3i3i3-1-1-12-2-211i3i3−i3−i3111122-2-2-1-1-1-1111100-1-1−i3−i3i3i30011i3i3−i3−i3-220000000011-1-1−i3−i3i3i3i3i3−i3−i300000000000000000000
χ342222-2-2-2-2222-1-2-2222-1-1-1-2-21111-2-200-1002-1-1−i3−i3i3i3-1-1-12-2-211i3i3−i3−i31111-2-2221111-1-1-1-100-1-1−i3−i3i3i30011i3i3−i3−i32-200000000-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000
χ352222-2-2-2-2222-1-2-2222-1-1-1-2-21111-2-200-1002-1-1i3i3−i3−i3-1-1-12-2-211−i3−i3i3i3111122-2-2-1-1-1-1111100-1-1i3i3−i3−i30011−i3−i3i3i3-220000000011-1-1i3i3−i3−i3−i3−i3i3i300000000000000000000
χ362222-2-2-2-2222-1-2-2222-1-1-1-2-21111-2-200-1002-1-1i3i3−i3−i3-1-1-12-2-211−i3−i3i3i31111-2-2221111-1-1-1-100-1-1i3i3−i3−i30011−i3−i3i3i32-200000000-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000
χ372222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-222-1-2-2-211-1-1-1-1-1-1-1-222-1-11111111122-2-2-1-1-1-111112211-1-1-1-1-2-2-1-111112-222-2-20000-1-111-1-1-1-1111100000000000000000000
χ382222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-222-1-2-2-211-1-1-1-1-1-1-1-222-1-111111111-2-2221111-1-1-1-12211-1-1-1-1-2-2-1-11111-22-2-222000011-1-11111-1-1-1-100000000000000000000
χ392222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-2-2-122-2111111-1-1-1-222-1-1-1-1-1-1111122-2-2-1-1-1-11111-2-211111122-1-1-1-1-1-12-2-2-2220000-1-1111111-1-1-1-100000000000000000000
χ402222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-2-2-122-2111111-1-1-1-222-1-1-1-1-1-11111-2-2221111-1-1-1-1-2-211111122-1-1-1-1-1-1-2222-2-2000011-1-1-1-1-1-1111100000000000000000000
χ412222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-21122-1-2-21-2-22222-1-1-11-1-122-2-2-2-21111000000000000-1-111-1-1-1-111-1-111110000002i2i−2i−2i000000000000−i−i−i−iiiii2i−2i−i−iii000000
χ422222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-21122-1-2-21-2-22222-1-1-11-1-122-2-2-2-21111000000000000-1-111-1-1-1-111-1-11111000000−2i−2i2i2i000000000000iiii−i−i−i−i−2i2iii−i−i000000
χ432222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-2-2-1221-2-2-2-2-2-2-1-1-11-1-1222222111100000000000011111111-1-1-1-1-1-1-1-10000002i2i−2i−2i000000000000−i−i−i−iiiii−2i2iii−i−i000000
χ442222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-2-2-1221-2-2-2-2-2-2-1-1-11-1-1222222111100000000000011111111-1-1-1-1-1-1-1-1000000−2i−2i2i2i000000000000iiii−i−i−i−i2i−2i−i−iii000000
χ4522-2-222-2-22-2222-2-2-222-2-22222-2-2-2-22-222-222-22-22-2-2-22-22-22-22-22-222-2-20000000000002-22-22-22-22-22-22-22-2000000000000000000000000000000000000000000
χ4622-2-222-2-22-2222-2-2-222-2-22222-2-2-2-2-222-2222-2-22-22-2-22-22-22-2-22-2222-2-2000000000000-222-2-22-22-222-2-22-22000000000000000000000000000000000000000000
χ4722-2-222-2-22-22-12-2-2-22-11122-1-111-2-22-2-12-22-11-11-1111-1-22-2-11-11-11-1-111000033−3−333−3−32-2-11-11-112-2-11-11-1100000000003−33−33−33−33−33−300000000000000000000
χ4822-2-222-2-22-22-12-2-2-22-11122-1-111-2-22-2-12-22-11-11-1111-1-22-2-11-11-11-1-1110000−3−333−3−3332-2-11-11-112-2-11-11-110000000000−33−33−33−33−33−3300000000000000000000
χ4922-2-222-2-22-22-12-2-2-22-11122-1-111-2-2-22-1-222-111-11-111-1-22-2-111-11-1-1-111000033−3−333−3−3-22-111-11-1-22-111-11-100000000003−33−3−33−33−33−3300000000000000000000
χ5022-2-222-2-22-22-12-2-2-22-11122-1-111-2-2-22-1-222-111-11-111-1-22-2-111-11-1-1-1110000−3−333−3−333-22-111-11-1-22-111-11-10000000000−33−333−33−33−33−300000000000000000000
χ5122-2-222-2-22-2-122-211-12-2-2-1-122-2-2112-2-12-2-12-22-22-211-11-112-22-22-2-1-111000000000000-11-11-11-11-11-11-11-11000000000000000000000033−3−333−3−3003−33−3000000
χ5222-2-222-2-22-2-122-211-12-2-2-1-122-2-2112-2-12-2-12-22-22-211-11-112-22-22-2-1-111000000000000-11-11-11-11-11-11-11-110000000000000000000000−3−333−3−33300−33−33000000
χ5322-2-222-2-22-2-122-211-12-2-2-1-122-2-211-22-1-22-12-2-22-2211-11-112-2-22-22-1-1110000000000001-1-111-11-11-1-111-11-1000000000000000000000033−3−333−3−300−33−33000000
χ5422-2-222-2-22-2-122-211-12-2-2-1-122-2-211-22-1-22-12-2-22-2211-11-112-2-22-22-1-1110000000000001-1-111-11-11-1-111-11-10000000000000000000000−3−333−3−333003−33−3000000
χ5522-2-222-2-2-2222-22-2-222-2-22222-2-2-2-200200-2-220000-2-222-22-22000022-2-200000000000000-22000000-220000002i−2i2i−2i000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ5622-2-222-2-2-2222-22-2-222-2-22222-2-2-2-200200-2-220000-2-222-22-22000022-2-200000000000000-22000000-22000000−2i2i−2i2i00000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ5722-2-222-2-2-222-1-22-2-22-11122-1-111-2-200-100-21-1−i3i3i3−i311-12-221-1−i3i3i3−i3-1-111000033−3−333−3−3001-1−i3i3i3−i3001-1−i3i3i3−i3002i−2i2i−2i0000−33−33−iii−i−iii−i00000000000000000000
χ5822-2-222-2-2-222-1-22-2-22-11122-1-111-2-200-100-21-1−i3i3i3−i311-12-221-1−i3i3i3−i3-1-1110000−3−333−3−333001-1−i3i3i3−i3001-1−i3i3i3−i300−2i2i−2i2i00003−33−3i−i−iii−i−ii00000000000000000000
χ5922-2-222-2-2-222-1-22-2-22-11122-1-111-2-200-100-21-1i3−i3−i3i311-12-221-1i3−i3−i3i3-1-111000033−3−333−3−3001-1i3−i3−i3i3001-1i3−i3−i3i300−2i2i−2i2i0000−33−33i−i−iii−i−ii00000000000000000000
χ6022-2-222-2-2-222-1-22-2-22-11122-1-111-2-200-100-21-1i3−i3−i3i311-12-221-1i3−i3−i3i3-1-1110000−3−333−3−333001-1i3−i3−i3i3001-1i3−i3−i3i3002i−2i2i−2i00003−33−3−iii−i−iii−i00000000000000000000
χ6122-2-2-2-2222-222-22-2-222-2-2-2-2-2-222220020022-20000-2-22-2-22-220000-2-222000000000000002-2000000-220000002i−2i−2i2i000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ6222-2-2-2-2222-222-22-2-222-2-2-2-2-2-222220020022-20000-2-22-2-22-220000-2-222000000000000002-2000000-22000000−2i2i2i−2i00000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ6322-2-2-2-2222-22-1-22-2-22-111-2-211-1-12200-1002-11−i3i3i3−i311-1-2-221-1i3−i3−i3i311-1-1000033−3−3−3−33300-11−i3i3i3−i3001-1i3−i3−i3i3002i−2i−2i2i0000−333−3−iii−ii−i−ii00000000000000000000
χ6422-2-2-2-2222-22-1-22-2-22-111-2-211-1-12200-1002-11−i3i3i3−i311-1-2-221-1i3−i3−i3i311-1-10000−3−33333−3−300-11−i3i3i3−i3001-1i3−i3−i3i300−2i2i2i−2i00003−3−33i−i−ii−iii−i00000000000000000000
χ6522-2-2-2-2222-22-1-22-2-22-111-2-211-1-12200-1002-11i3−i3−i3i311-1-2-221-1−i3i3i3−i311-1-1000033−3−3−3−33300-11i3−i3−i3i3001-1−i3i3i3−i300−2i2i2i−2i0000−333−3i−i−ii−iii−i00000000000000000000
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χ6722-2-2-2-222-22222-2-2-222-2-2-2-2-2-222222-22-22-2-222-22-2-2-2222-22-2-22-22-2-2220000000000002-2-222-22-2-222-2-22-22000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.