Finite Group Databasebeta

← Group #11787079

Character table — Group #11787079

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444888888888888888812121212121212121212121212121212121212121212121212121212121212121212121224242424242472727272
order12222222223366666666662234466666666666666666666612121212666666666612121212121244444444444412121212121212121212121212121212121212121212121244121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-11-1-11111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-11-1-11111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ71111111111111111111111-1-11-1-11111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-11-1-11111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ911-1-11-1-1-1111111-111-1-1-1-1-11-111-111111-1-1-1-1-111-1-111-1-1-1-1111-1-11-111-1-111-1-11-111-1-1i−ii−ii−ii−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−ii−iii−i−i1-11-1
χ1011-1-11-1-1-1111111-111-1-1-1-1-11-111-111111-1-1-1-1-111-1-111-1-1-1-1111-1-11-111-1-111-1-11-111-1-1i−ii−ii−ii−i−i−iiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−ii−i−iii-11-11
χ1111-1-11-1-1-1111111-111-1-1-1-1-11-111-111111-1-1-1-1-111-1-111-1-1-1-1111-1-11-111-1-111-1-11-111-1-1−ii−ii−ii−iiii−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−ii−iii−i−i-11-11
χ1211-1-11-1-1-1111111-111-1-1-1-1-11-111-111111-1-1-1-1-111-1-111-1-1-1-1111-1-11-111-1-111-1-11-111-1-1−ii−ii−ii−ii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−ii−i−iii1-11-1
χ1311-1-11-1-1-1111111-111-1-1-1-1-1-111-1111111-1-1-1-1-1-1-11111-1-1-1-11-1-111-1111-1-1-1-111-11-1-111i−i−iii−i−iiii−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−ii−i−iii1-1-11
χ1411-1-11-1-1-1111111-111-1-1-1-1-1-111-1111111-1-1-1-1-1-1-11111-1-1-1-11-1-111-1111-1-1-1-111-11-1-111i−i−iii−i−ii−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiii−iii−i−i-111-1
χ1511-1-11-1-1-1111111-111-1-1-1-1-1-111-1111111-1-1-1-1-1-1-11111-1-1-1-11-1-111-1111-1-1-1-111-11-1-111−iii−i−iii−iii−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−ii−i−iii-111-1
χ1611-1-11-1-1-1111111-111-1-1-1-1-1-111-1111111-1-1-1-1-1-1-11111-1-1-1-11-1-111-1111-1-1-1-111-11-1-111−iii−i−iii−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiii−iii−i−i1-1-11
χ1722222222222-12222-1222-1-122-12222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ1822222222222-12222-1222-1-122-12222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-200001111111111111111000000000000000000
χ1922222222222-12222-1222-1-1-2-2-1-2-222-1-1-122-1-1-11111-1-1-1-1-1-1-11111-2-2-1-1-1-11111-2-2111122-2-222-2-20000-1-1-1-1-1-1-1-111111111000000000000000000
χ2022222222222-12222-1222-1-1-2-2-1-2-222-1-1-122-1-1-11111-1-1-1-1-1-1-11111-2-2-1-1-1-11111-2-21111-2-222-2-222000011111111-1-1-1-1-1-1-1-1000000000000000000
χ212222222222-12-1-1-1-12-1-1-12222-122-1-1222-1-12222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022220000000000000000-1-1-1-1-1-1-1-122-1-1-1-10000
χ222222222222-12-1-1-1-12-1-1-12222-122-1-1222-1-12222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000000000000011111111-2-211110000
χ232222222222-12-1-1-1-12-1-1-122-2-2-1-2-2-1-1222-1-1222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-211-1-1-1-111111111110000000022220000000000000000-1-1-1-1-1-1-1-1-2-211110000
χ242222222222-12-1-1-1-12-1-1-122-2-2-1-2-2-1-1222-1-1222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-211-1-1-1-1111111111100000000-2-2-2-200000000000000001111111122-1-1-1-10000
χ2522222-2-22-2-2222222222222222-2-2-2-22-2-2-2-22-2-222222222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-20000000000000000000000000000000000000000000000
χ2622222-2-22-2-2222222222222-2-2222-2-22-2-2-2-22-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22222220000000000000000000000000000000000000000000000
χ2722222-2-22-2-22-12222-1222-1-122-1-2-2-2-2-111-2-2-111-1-1-1-1-1-1-1-1-1-1-11111221111-1-1-1-1-2-21111000000000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000
χ2822222-2-22-2-22-12222-1222-1-122-1-2-2-2-2-111-2-2-111-1-1-1-1-1-1-1-1-1-1-11111221111-1-1-1-1-2-21111000000000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000
χ2922222-2-22-2-22-12222-1222-1-1-2-2-122-2-2-111-2-2-1111111-1-1-1-1-1-1-1-1-1-1-1-2-21111111122-1-1-1-1000000000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000000000
χ3022222-2-22-2-22-12222-1222-1-1-2-2-122-2-2-111-2-2-1111111-1-1-1-1-1-1-1-1-1-1-1-2-21111111122-1-1-1-1000000000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000000000
χ3122222-2-22-2-2-12-1-1-1-12-1-1-12222-1-2-2112-2-2112-2-22222-1-1-1-1-1-1-1-2-2-2-2-1-11111-1-1-1-11111110000000000000000000000000000−i3−i3i3i3−i3−i3i3i300−i3i3−i3i30000
χ3222222-2-22-2-2-12-1-1-1-12-1-1-12222-1-2-2112-2-2112-2-22222-1-1-1-1-1-1-1-2-2-2-2-1-11111-1-1-1-11111110000000000000000000000000000i3i3−i3−i3i3i3−i3−i300i3−i3i3−i30000
χ3322222-2-22-2-2-12-1-1-1-12-1-1-122-2-2-122112-2-2112-2-2-2-2-2-2-1-1-1-1-1-1-122221111111111-1-1-1-1-1-10000000000000000000000000000−i3−i3i3i3−i3−i3i3i300i3−i3i3−i30000
χ3422222-2-22-2-2-12-1-1-1-12-1-1-122-2-2-122112-2-2112-2-2-2-2-2-2-1-1-1-1-1-1-122221111111111-1-1-1-1-1-10000000000000000000000000000i3i3−i3−i3i3i3−i3−i300−i3i3−i3i30000
χ352222-22-2-22-222-2-2222-2-2222002002-2-22-22-2-22-20000-2-222-2-220000002-22-20000000000002200-2-20000000000002-22-22-22-2000000000000000000
χ362222-22-2-22-222-2-2222-2-2222002002-2-22-22-2-22-20000-2-222-2-220000002-22-2000000000000-2-20022000000000000-22-22-22-22000000000000000000
χ372222-22-2-22-22-1-2-222-1-2-22-1-100-1002-21-112-21-11−i3i3−i3i311-1-111-1−i3i3−i3i300-11-11−i3i3−i3i300−i3i3−i3i3002200-2-20000−i3i3−i3i3−i3i3−i3i3-11-11-11-11000000000000000000
χ382222-22-2-22-22-1-2-222-1-2-22-1-100-1002-21-112-21-11−i3i3−i3i311-1-111-1−i3i3−i3i300-11-11−i3i3−i3i300−i3i3−i3i300-2-200220000i3−i3i3−i3i3−i3i3−i31-11-11-11-1000000000000000000
χ392222-22-2-22-22-1-2-222-1-2-22-1-100-1002-21-112-21-11i3−i3i3−i311-1-111-1i3−i3i3−i300-11-11i3−i3i3−i300i3−i3i3−i3002200-2-20000i3−i3i3−i3i3−i3i3−i3-11-11-11-11000000000000000000
χ402222-22-2-22-22-1-2-222-1-2-22-1-100-1002-21-112-21-11i3−i3i3−i311-1-111-1i3−i3i3−i300-11-11i3−i3i3−i300i3−i3i3−i300-2-200220000−i3i3−i3i3−i3i3−i3i31-11-11-11-1000000000000000000
χ412222-2-22-2-2222-2-2222-2-222200200-22-2-22-22-2-220000-2-222-2-22000000-22-2200000000002200-2-20000002-2-222-2-2200000000000000000000000000
χ422222-2-22-2-2222-2-2222-2-222200200-22-2-22-22-2-220000-2-222-2-22000000-22-220000000000-2-20022000000-222-2-222-200000000000000000000000000
χ432222-2-22-2-222-1-2-222-1-2-22-1-100-100-2211-1-2211-1−i3i3−i3i311-1-111-1i3−i3i3−i3001-11-1−i3i3−i3i300i3−i3i3−i32200-2-2000000-111-1-111-1−i3i3i3−i3−i3i3i3−i3000000000000000000
χ442222-2-22-2-222-1-2-222-1-2-22-1-100-100-2211-1-2211-1−i3i3−i3i311-1-111-1i3−i3i3−i3001-11-1−i3i3−i3i300i3−i3i3−i3-2-200220000001-1-111-1-11i3−i3−i3i3i3−i3−i3i3000000000000000000
χ452222-2-22-2-222-1-2-222-1-2-22-1-100-100-2211-1-2211-1i3−i3i3−i311-1-111-1−i3i3−i3i3001-11-1i3−i3i3−i300−i3i3−i3i32200-2-2000000-111-1-111-1i3−i3−i3i3i3−i3−i3i3000000000000000000
χ462222-2-22-2-222-1-2-222-1-2-22-1-100-100-2211-1-2211-1i3−i3i3−i311-1-111-1−i3i3−i3i3001-11-1i3−i3i3−i300−i3i3−i3i3-2-200220000001-1-111-1-11−i3i3i3−i3−i3i3i3−i3000000000000000000
χ4722-2-2222-2-2-22222-222-2-2-2-2-22-22-22-2-22-2-222-22222-2-222-2-2-2-22-2-2222-2-2-22222-2-2-22-2-2220000000000000000000000000000000000000000000000
χ4822-2-2222-2-2-22222-222-2-2-2-2-2-2222-2-2-22-2-222-222-2-22222-2-2-2-2222-2-2-22-2-222-2-2222-222-2-20000000000000000000000000000000000000000000000
χ4922-2-2222-2-2-22-122-22-1-2-2-2112-2-1-22-2-2-111221-1-1-1-111-1-11111-111-1-12-211-1-1-1-111-2211-1-100000000000033−3−3−3−33333−3−3−3−333000000000000000000
χ5022-2-2222-2-2-22-122-22-1-2-2-2112-2-1-22-2-2-111221-1-1-1-111-1-11111-111-1-12-211-1-1-1-111-2211-1-1000000000000−3−33333−3−3−3−33333−3−3000000000000000000
χ5122-2-2222-2-2-22-122-22-1-2-2-211-22-12-2-2-2-111221-1-111-1-1-1-11111-1-1-111-2211-1-111-1-12-2-1-11100000000000033−3−3−3−333−3−33333−3−3000000000000000000
χ5222-2-2222-2-2-22-122-22-1-2-2-211-22-12-2-2-2-111221-1-111-1-1-1-11111-1-1-111-2211-1-111-1-12-2-1-111000000000000−3−33333−3−333−3−3−3−333000000000000000000
χ5322-2-2222-2-2-2-12-1-11-12111-2-22-2-1-22112-2-2-1-1-22222-2-2-1-11111-1-2-222-1111-1-1-1-1111-111-1-1000000000000000000000000000033−3−3−3−333003−3−330000
χ5422-2-2222-2-2-2-12-1-11-12111-2-22-2-1-22112-2-2-1-1-22222-2-2-1-11111-1-2-222-1111-1-1-1-1111-111-1-10000000000000000000000000000−3−33333−3−300−333−30000
χ5522-2-2222-2-2-2-12-1-11-12111-2-2-22-12-2112-2-2-1-1-222-2-222-1-11111-122-2-21-111-1-111-1-1-11-1-111000000000000000000000000000033−3−3−3−33300−333−30000
χ5622-2-2222-2-2-2-12-1-11-12111-2-2-22-12-2112-2-2-1-1-222-2-222-1-11111-122-2-21-111-1-111-1-1-11-1-1110000000000000000000000000000−3−33333−3−3003−3−330000
χ5722-2-22-2-2-2222-122-22-1-2-2-2112-2-12-222-1-1-1-2-2111-1-111-1-11111-1-1-1112-2-1-111-1-1112-2-1-1112i−2i2i−2i2i−2i2i−2i0000−i−i−i−iiiii−i−i−i−iiiii000000000000000000
χ5822-2-22-2-2-2222-122-22-1-2-2-2112-2-12-222-1-1-1-2-2111-1-111-1-11111-1-1-1112-2-1-111-1-1112-2-1-111−2i2i−2i2i−2i2i−2i2i0000iiii−i−i−i−iiiii−i−i−i−i000000000000000000
χ5922-2-22-2-2-2222-122-22-1-2-2-211-22-1-2222-1-1-1-2-211111-1-1-1-11111-111-1-1-22-1-11111-1-1-2211-1-12i−2i−2i2i2i−2i−2i2i0000−i−i−i−iiiiiiiii−i−i−i−i000000000000000000
χ6022-2-22-2-2-2222-122-22-1-2-2-211-22-1-2222-1-1-1-2-211111-1-1-1-11111-111-1-1-22-1-11111-1-1-2211-1-1−2i2i2i−2i−2i2i2i−2i0000iiii−i−i−i−i−i−i−i−iiiii000000000000000000
χ6122-2-22-2-2-222-12-1-11-12111-2-22-2-12-2-1-122211-2-2-222-2-2-1-11111-122-2-2-11-1-111-1-111-11-1-111000000002i2i−2i−2i0000000000000000−i−i−i−iiiii2i−2i−i−iii0000
χ6222-2-22-2-2-222-12-1-11-12111-2-22-2-12-2-1-122211-2-2-222-2-2-1-11111-122-2-2-11-1-111-1-111-11-1-11100000000−2i−2i2i2i0000000000000000iiii−i−i−i−i−2i2iii−i−i0000
χ6322-2-22-2-2-222-12-1-11-12111-2-2-22-1-22-1-122211-2-2-2-2-222-1-11111-1-2-2221-1-1-11111-1-11-111-1-1000000002i2i−2i−2i0000000000000000−i−i−i−iiiii−2i2iii−i−i0000
χ6422-2-22-2-2-222-12-1-11-12111-2-2-22-1-22-1-122211-2-2-2-2-222-1-11111-1-2-2221-1-1-11111-1-11-111-1-100000000−2i−2i2i2i0000000000000000iiii−i−i−i−i2i−2i−i−iii0000
χ6522-2-2-22-22-2222-2-2-22222-2-2-200200-22-2-222-222-20000-2-2-2-2222000000-222-200000000002i−2i00−2i2i0000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ6622-2-2-22-22-2222-2-2-22222-2-2-200200-22-2-222-222-20000-2-2-2-2222000000-222-20000000000−2i2i002i−2i000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ6722-2-2-22-22-222-1-2-2-22-122-21100-100-2211-12-2-1-11−i3i3i3−i31111-1-1-1i3−i3−i3i3001-1-11−i3i3i3−i300i3−i3−i3i32i−2i00−2i2i000000−iii−ii−i−ii3−3−33−333−3000000000000000000
χ6822-2-2-22-22-222-1-2-2-22-122-21100-100-2211-12-2-1-11−i3i3i3−i31111-1-1-1i3−i3−i3i3001-1-11−i3i3i3−i300i3−i3−i3i3−2i2i002i−2i000000i−i−ii−iii−i−333−33−3−33000000000000000000
χ6922-2-2-22-22-222-1-2-2-22-122-21100-100-2211-12-2-1-11i3−i3−i3i31111-1-1-1−i3i3i3−i3001-1-11i3−i3−i3i300−i3i3i3−i32i−2i00−2i2i000000−iii−ii−i−ii−333−33−3−33000000000000000000
χ7022-2-2-22-22-222-1-2-2-22-122-21100-100-2211-12-2-1-11i3−i3−i3i31111-1-1-1−i3i3i3−i3001-1-11i3−i3−i3i300−i3i3i3−i3−2i2i002i−2i000000i−i−ii−iii−i3−3−33−333−3000000000000000000
χ7122-2-2-2-2222-222-2-2-22222-2-2-2002002-2-22-2-222-220000-2-2-2-22220000002-2-220000000000002i−2i00−2i2i0000000000002i−2i2i−2i−2i2i−2i2i000000000000000000
χ7222-2-2-2-2222-222-2-2-22222-2-2-2002002-2-22-2-222-220000-2-2-2-22220000002-2-22000000000000−2i2i002i−2i000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ7322-2-2-2-2222-22-1-2-2-22-122-21100-1002-21-11-22-11-1−i3i3i3−i31111-1-1-1−i3i3i3−i300-111-1−i3i3i3−i300−i3i3i3−i3002i−2i00−2i2i00003−33−3−33−33−ii−iii−ii−i000000000000000000
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χ8744-4-4444-4-4-4-2-2-2-22-2-2222224-41-4422-222-2-22-2-2-2-22211-1-1-1-1122-2-2-22-1-11111-1-12-2-1-1110000000000000000000000000000000000000000000000
χ8844-4-4444-4-4-4-2-2-2-22-2-222222-4414-422-222-2-22-2-222-2-211-1-1-1-11-2-2222-2-1-111-1-111-2211-1-10000000000000000000000000000000000000000000000
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χ974-44-400000044004-4-400-44-40040000000000000000004-400-400000000000000000000000000002i−2i2i−2i00000000000000002i−2i2i−2i2i−2i2i−2i0000000000
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χ994-44-4000000-24−2i32i3-22-4−2i32i324-400-20000000000000000−2i32i3-22−2i32i3200000000000000000000000000002i−2i2i−2i00000000000000002ζ7−2ζ72ζ11−2ζ112ζ7−2ζ72ζ11−2ζ110000000000
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χ1044-4-440000004400-4-4-4004-44004000000000000000000-4400-40000000000000000000000000000-222-20000000000000000-22-222-22-20000000000
χ1054-4-44000000-24−2i32i322-42i3−2i3-2-4400-20000000000000000−2i32i32-22i3−2i3200000000000000000000000000002-2-220000000000000000−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i30000000000
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χ1118-88-8000000-4-44i3−4i3-4444i3−4i34-440020000000000000000−2i32i32-2−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-880000008-400-8-840084-400-40000000000000000004-4004000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88000000-4-4−4i34i34444i3−4i3-44-400200000000000000002i3−2i3-22−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88000000-4-44i3−4i3444−4i34i3-44-40020000000000000000−2i32i3-222i3−2i3-2000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.