Finite Group Databasebeta

← Group #11790111

Character table — Group #11790111

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order1222222233444466666666666666366666661212121212121212444444448888888844121212121212121212121212121212121212121212121212121212122424242424242424888888884444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ91-1-111-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11111-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-1i−ii−iii−i−iii−i−i1-1
χ101-1-111-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-1-1-1-1111111-1-1-1-1-1-11111ii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-1−ii−ii−i−iii−i−iii-11
χ111-1-111-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1-11111-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii-1-1-1-11111i−i−ii−i−iiiii−i−i-11
χ121-1-111-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-11-1-1-1-1111111-1-1-1-1-1-11111ii−i−iii−i−i−i−i−i−iiiii-1-1-1-11111−iii−iii−i−i−i−iii1-1
χ131-1-111-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1-11111-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i-1-1-1-11111−iii−iii−i−i−i−iii-11
χ141-1-111-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-1-1-1-1111111-1-1-1-1-1-11111−i−iii−i−iiiiiii−i−i−i−i-1-1-1-11111i−i−ii−i−iiiii−i−i1-1
χ151-1-111-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11111-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-1−ii−ii−i−iii−i−iii1-1
χ161-1-111-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-1-1-1-1111111-1-1-1-1-1-11111−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-1i−ii−iii−i−iii−i−i-11
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000000-2-2-2-2000000002222-2-2-2-2000000000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-222-2-222000000000000000000-2-2-2-200000000-2-2-2-22222000000000000000000000000000000
χ19222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-1222222222000000002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022000000-1-1-1-100
χ20222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-122222222200000000-2-2-2-211-2-211-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-2-2000000111100
χ21222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-2-2-2-2-2000000002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2000000111100
χ22222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-2-2-2-2-200000000-2-2-2-211-2-211-1-1-1-11111111111111111000000000000000022000000-1-1-1-100
χ23222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-222-2-222-2-2000000000000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i3-1-1-1-11111000000000000000000000000−i3i3−i3i300
χ24222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-222-2-222-2-2000000000000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3-1-1-1-11111000000000000000000000000i3−i3i3−i300
χ25222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-2-2-222-2-222000000000000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i31111-1-1-1-1000000000000000000000000i3−i3i3−i300
χ26222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-2-2-222-2-222000000000000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i31111-1-1-1-1000000000000000000000000−i3i3−i3i300
χ2722222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-1000000002222222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000000022-1-1-1-1000000
χ2822222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-10000000022222222-2-211-2-211-2-2-1-1-1-11111111100000000-1-1-1-1-1-1-1-10000000000-2-21111000000
χ2922222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-100000000-2-2-2-2-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000111111110000000000-2-21111000000
χ3022222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-100000000-2-2-2-2-2-2-2-2-2-211-2-211-2-2-1-1-1-1111111110000000011111111000000000022-1-1-1-1000000
χ312222-2-2-2-2222-22-2-2-222-22222-2-2-2-2-22-222-2-22-22-22-2-22-220000000022-2-222-2-200000000002-22-2000000000000000022-2-222-2-20000000000000000000000
χ322222-2-2-2-2222-22-2-2-222-22222-2-2-2-2-22-222-2-22-22-22-2-22-2200000000-2-222-2-22200000000002-22-20000000000000000-2-222-2-2220000000000000000000000
χ332222-2-2-2-222-22-22-2-222-22222-2-2-2-2-22-222-2-22-2-22-222-22-200000000000000000000000000-22-2200000000000000000000000022-2-222-2-200000000000000
χ342222-2-2-2-222-22-22-2-222-22222-2-2-2-2-22-222-2-22-2-22-222-22-200000000000000000000000000-22-22000000000000000000000000-2-222-2-22200000000000000
χ352222-2-2-2-2-122-22-21-2-1-1122-121-2-21-2-11-1-111-11-112-212-2-10000000022-2-222-2-2003−3003−300-11-113−33−33−33−300000000-1-111-1-1110000000000003−33−3000000
χ362222-2-2-2-2-122-22-21-2-1-1122-121-2-21-2-11-1-111-11-112-212-2-10000000022-2-222-2-200−3300−3300-11-11−33−33−33−3300000000-1-111-1-111000000000000−33−33000000
χ372222-2-2-2-2-122-22-21-2-1-1122-121-2-21-2-11-1-111-11-112-212-2-100000000-2-222-2-222003−3003−300-11-113−33−33−33−30000000011-1-111-1-1000000000000−33−33000000
χ382222-2-2-2-2-122-22-21-2-1-1122-121-2-21-2-11-1-111-11-112-212-2-100000000-2-222-2-22200−3300−3300-11-11−33−33−33−330000000011-1-111-1-10000000000003−33−3000000
χ3922-2-222-2-2220000-2-22-222-2-2-222-2-222-22-22-2-2200000000002-2002-2−i2i2−i2i2−i2i2−i2i2000000000000000000000000002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000
χ4022-2-222-2-2220000-2-22-222-2-2-222-2-222-22-22-2-2200000000002-2002-2i2−i2i2−i2i2−i2i2−i2000000000000000000000000002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000
χ4122-2-222-2-2220000-2-22-222-2-2-222-2-222-22-22-2-220000000000-2200-22−i2i2−i2i2−i2i2−i2i200000000000000000000000000-22-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000000000
χ4222-2-222-2-2220000-2-22-222-2-2-222-2-222-22-22-2-220000000000-2200-22i2−i2i2−i2i2−i2i2−i200000000000000000000000000-22-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000000000
χ4322-2-2-2-222220000222-2-22-2-2-2-2-222-2222-2-22-2-2000000002-2002-200−i2i2i2−i2−i2i2i2−i200000000000000000000002-22-20000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200000000000000
χ4422-2-2-2-222220000222-2-22-2-2-2-2-222-2222-2-22-2-2000000002-2002-200i2−i2−i2i2i2−i2−i2i200000000000000000000002-22-20000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i200000000000000
χ4522-2-2-2-222220000222-2-22-2-2-2-2-222-2222-2-22-2-200000000-2200-2200−i2i2i2−i2−i2i2i2−i20000000000000000000000-22-220000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200000000000000
χ4622-2-2-2-222220000222-2-22-2-2-2-2-222-2222-2-22-2-200000000-2200-2200i2−i2−i2i2i2−i2−i2i20000000000000000000000-22-220000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200000000000000
χ472-22-22-22-2220000-2-2-22-2-22-2-22222-22-2-22-22-2200000000002i−2i00−2i2i2−22−2−22−22000000000000000000000000002i−2i−2i2i2−22−2−22−22−i2i2−i2i2i2−i2i2−i200000000000000
χ482-22-22-22-2220000-2-2-22-2-22-2-22222-22-2-22-22-2200000000002i−2i00−2i2i−22−222−22−2000000000000000000000000002i−2i−2i2i−22−222−22−2i2−i2i2−i2−i2i2−i2i200000000000000
χ492-22-22-22-2220000-2-2-22-2-22-2-22222-22-2-22-22-220000000000−2i2i002i−2i2−22−2−22−2200000000000000000000000000−2i2i2i−2i2−22−2−22−22i2−i2i2−i2−i2i2−i2i200000000000000
χ502-22-22-22-2220000-2-2-22-2-22-2-22222-22-2-22-22-220000000000−2i2i002i−2i−22−222−22−200000000000000000000000000−2i2i2i−2i−22−222−22−2−i2i2−i2i2i2−i2i2−i200000000000000
χ512-22-2-22-2222000022-222-22-2-2-2-2-2-2222-222-2-2-2000000002i−2i00−2i2i002−2−22−222−200000000000000000000002i−2i−2i2i00002−2−22−222−2−i2i2i2−i2i2−i2−i2i200000000000000
χ522-22-2-22-2222000022-222-22-2-2-2-2-2-2222-222-2-2-2000000002i−2i00−2i2i00−222−22−2−2200000000000000000000002i−2i−2i2i0000−222−22−2−22i2−i2−i2i2−i2i2i2−i200000000000000
χ532-22-2-22-2222000022-222-22-2-2-2-2-2-2222-222-2-2-200000000−2i2i002i−2i002−2−22−222−20000000000000000000000−2i2i2i−2i00002−2−22−222−2i2−i2−i2i2−i2i2i2−i200000000000000
χ542-22-2-22-2222000022-222-22-2-2-2-2-2-2222-222-2-2-200000000−2i2i002i−2i00−222−22−2−220000000000000000000000−2i2i2i−2i0000−222−22−2−22−i2i2i2−i2i2−i2−i2i200000000000000
χ552-2-222-2-2222-222-222-2-2-2-2-22222-2-2-222-2-2-2-222-2-2-2-222222i2i−2i−2i−2i−2i2i2i000000000000000000-2-222000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ562-2-222-2-2222-222-222-2-2-2-2-22222-2-2-222-2-2-2-222-2-2-2-22222−2i−2i2i2i2i2i−2i−2i000000000000000000-2-22200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ572-2-222-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-22i2i2i2i−2i−2i−2i−2i000000002-222-1-1-2-211-1-111-1-1-1-11111−i−iii−i−iii00000000000000002i−2i000000−i−iii00
χ582-2-222-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-22i2i2i2i−2i−2i−2i−2i00000000-22-2-21122-1-1-1-1111111-1-1-1-1−i−iii−i−iii0000000000000000−2i2i000000ii−i−i00
χ592-2-222-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-2−2i−2i−2i−2i2i2i2i2i000000002-222-1-1-2-211-1-111-1-1-1-11111ii−i−iii−i−i0000000000000000−2i2i000000ii−i−i00
χ602-2-222-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-2−2i−2i−2i−2i2i2i2i2i00000000-22-2-21122-1-1-1-1111111-1-1-1-1ii−i−iii−i−i00000000000000002i−2i000000−i−iii00
χ612-2-222-2-222-1-222-22-1-2-2-2112-12-11-21-1-11111-1-1-2-2112-1-122i2i−2i−2i−2i−2i2i2i000000000000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i3−i−iiiii−i−i0000000000000000000000003−3−3300
χ622-2-222-2-222-1-222-22-1-2-2-2112-12-11-21-1-11111-1-1-2-2112-1-122i2i−2i−2i−2i−2i2i2i000000000000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i3−i−iiiii−i−i000000000000000000000000−333−300
χ632-2-222-2-222-1-222-22-1-2-2-2112-12-11-21-1-11111-1-1-2-2112-1-12−2i−2i2i2i2i2i−2i−2i000000000000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i3ii−i−i−i−iii000000000000000000000000−333−300
χ642-2-222-2-222-1-222-22-1-2-2-2112-12-11-21-1-11111-1-1-2-2112-1-12−2i−2i2i2i2i2i−2i−2i000000000000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i3ii−i−i−i−iii0000000000000000000000003−3−3300
χ652-2-222-2-22-122-2-22-12111-2-2-12-12-21-2-1-11111-1-1-1-1221-2-21000000002i2i2i2i−2i−2i−2i−2i2-2-1-12211-2-2-1-111-1-1-1-1111100000000−i−i−i−iiiii00000000002i−2i−i−iii000000
χ662-2-222-2-22-122-2-22-12111-2-2-12-12-21-2-1-11111-1-1-1-1221-2-21000000002i2i2i2i−2i−2i−2i−2i-2211-2-2-1-122-1-1111111-1-1-1-100000000−i−i−i−iiiii0000000000−2i2iii−i−i000000
χ672-2-222-2-22-122-2-22-12111-2-2-12-12-21-2-1-11111-1-1-1-1221-2-2100000000−2i−2i−2i−2i2i2i2i2i2-2-1-12211-2-2-1-111-1-1-1-1111100000000iiii−i−i−i−i0000000000−2i2iii−i−i000000
χ682-2-222-2-22-122-2-22-12111-2-2-12-12-21-2-1-11111-1-1-1-1221-2-2100000000−2i−2i−2i−2i2i2i2i2i-2211-2-2-1-122-1-1111111-1-1-1-100000000iiii−i−i−i−i00000000002i−2i−i−iii000000
χ692-2-22-222-22222-2-2-2-2-2-22-2-222-2-22222-2-2-2222-22-22-22-22-2000000002i2i−2i−2i−2i−2i2i2i00000000002-2-2200000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ702-2-22-222-22222-2-2-2-2-2-22-2-222-2-22222-2-2-2222-22-22-22-22-200000000−2i−2i2i2i2i2i−2i−2i00000000002-2-220000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ712-2-22-222-222-2-222-2-2-2-22-2-222-2-22222-2-2-2222-2-22-22-22-2200000000000000000000000000-222-200000000000000000000000022-2-2-2-22200000000000000
χ722-2-22-222-222-2-222-2-2-2-22-2-222-2-22222-2-2-2222-2-22-22-22-2200000000000000000000000000-222-2000000000000000000000000-2-22222-2-200000000000000
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χ1198-88-88-88-8-4-40000444-444-444-4-4-4-442-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).