Finite Group Databasebeta

← Group #11873320

Character table — Group #11873320

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444412121212121212122424242424242424242424242424242424242424363636367272
order1222334444446666661212121212121212366688881212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444444444444412121212121212121212121212121212244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1
χ9111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-111-1-111-1-111-1-11-1-111-1
χ10111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-111-1-11
χ11111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-111-1-11
χ12111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111-1-111-1-111-1-1111-1-111-1
χ13111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-111-111-1-1-1-11111-1-1-1-1111-1-11-11
χ14111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-111-11-1
χ15111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-111-1-1-1-11111-1-111-1-1-1-111-111-11-1
χ16111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111-1-11-1-11111-1-1-1-11111-1-11-1-11-11
χ1722222222-2-2-2-22222222222-2-2-2-22222000022-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000022-2-200
χ1822222222-2-2-2-22222222222-2-2-2-22222000022-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000-2-22200
χ19222222-2-222-2-2222222-2-2-2-2222222220000-2-222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002-22-200
χ20222222-2-222-2-2222222-2-2-2-2222222220000-2-222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000-22-2200
χ2122222-12222222-122-1-12222-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100220022020200000000-1-1-1-1-1-1-1-1000000
χ2222222-12222222-122-1-12222-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20-20-20000000011111111000000
χ2322222-12222222-122-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111002200220-20-200000000-1-1-1-11111000000
χ2422222-12222222-122-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100-2-200-2-20202000000001111-1-1-1-1000000
χ2522222-1-2-2-2-2222-122-1-1-2-2-2-21111-1-1-1-122-2-211-2-21111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111002200-2-20-20200000000-1-111-1-111000000
χ2622222-1-2-2-2-2222-122-1-1-2-2-2-21111-1-1-1-122-2-211-2-21111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100-2-20022020-20000000011-1-111-1-1000000
χ2722222-1-2-2-2-2222-122-1-1-2-2-2-21111-1-1-1-1-2-22211-2-21111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1002200-2-2020-200000000-1-11111-1-1000000
χ2822222-1-2-2-2-2222-122-1-1-2-2-2-21111-1-1-1-1-2-22211-2-21111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100-2-200220-2020000000011-1-1-1-111000000
χ292222-12222222-12-1-122-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220022002020-1-1-1-1-1-1-1-100000000000000
χ302222-12222222-12-1-122-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-200-20-201111111100000000000000
χ312222-12222222-12-1-122-1-1-1-12222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111122002200-20-20-1-1-1-1111100000000000000
χ322222-12222222-12-1-122-1-1-1-12222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-200-2-20020201111-1-1-1-100000000000000
χ332222-12-2-2-2-222-12-1-1221111-2-2-2-2-1-1-1-122-2-2-2-21111111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112200-2-20020-20-1-111-1-11100000000000000
χ342222-12-2-2-2-222-12-1-1221111-2-2-2-2-1-1-1-122-2-2-2-21111111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-2-2002200-202011-1-111-1-100000000000000
χ352222-12-2-2-2-222-12-1-1221111-2-2-2-2-1-1-1-1-2-222-2-21111111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-12200-2-200-2020-1-11111-1-100000000000000
χ362222-12-2-2-2-222-12-1-1221111-2-2-2-2-1-1-1-1-2-222-2-21111111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-200220020-2011-1-1-1-11100000000000000
χ372-2-22222i−2i2i−2i2-2-2-22-22-22i2i−2i−2i2i2i−2i−2i22-2-200002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2-22-222-2-2000000000000000000000000000000002i−2i002-20000002i−2i2-2000000000000000000
χ382-2-22222i−2i2i−2i2-2-2-22-22-22i2i−2i−2i2i2i−2i−2i22-2-200002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2-22-222-2-200000000000000000000000000000000−2i2i00-22000000−2i2i-22000000000000000000
χ392-2-22222i−2i−2i2i-22-2-22-22-22i2i−2i−2i−2i−2i2i2i22-2-200002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i-22-22-2-22200000000000000000000000000000000002i−2i002-20000000000002i−2i2-20000000000
χ402-2-22222i−2i−2i2i-22-2-22-22-22i2i−2i−2i−2i−2i2i2i22-2-200002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i-22-22-2-2220000000000000000000000000000000000−2i2i00-22000000000000−2i2i-220000000000
χ412-2-2222−2i2i2i−2i-22-2-22-22-2−2i−2i2i2i2i2i−2i−2i22-2-20000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i-22-22-2-22200000000000000000000000000000000002i−2i00-220000000000002i−2i-220000000000
χ422-2-2222−2i2i2i−2i-22-2-22-22-2−2i−2i2i2i2i2i−2i−2i22-2-20000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i-22-22-2-2220000000000000000000000000000000000−2i2i002-2000000000000−2i2i2-20000000000
χ432-2-2222−2i2i−2i2i2-2-2-22-22-2−2i−2i2i2i−2i−2i2i2i22-2-20000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i2-22-222-2-2000000000000000000000000000000002i−2i00-220000002i−2i-22000000000000000000
χ442-2-2222−2i2i−2i2i2-2-2-22-22-2−2i−2i2i2i−2i−2i2i2i22-2-20000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i2-22-222-2-200000000000000000000000000000000−2i2i002-2000000−2i2i2-2000000000000000000
χ452-2-222-12i−2i−2i2i-22-212-2-112i2i−2i−2iii−i−i-1-1110000−ii−2i2i−i−iiiii−i−i-221-111-1-1000033−3−33333−3−3−3−30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3002i−2i002-2000000000000−ii-11−i3i33−3000000
χ462-2-222-12i−2i−2i2i-22-212-2-112i2i−2i−2iii−i−i-1-1110000−ii−2i2i−i−iiiii−i−i-221-111-1-1000033−3−33333−3−3−3−30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300−2i2i00-22000000000000i−i1-1i3−i3−33000000
χ472-2-222-12i−2i−2i2i-22-212-2-112i2i−2i−2iii−i−i-1-1110000−ii−2i2i−i−iiiii−i−i-221-111-1-10000−3−333−3−3−3−333330000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3002i−2i002-2000000000000−ii-11i3−i3−33000000
χ482-2-222-12i−2i−2i2i-22-212-2-112i2i−2i−2iii−i−i-1-1110000−ii−2i2i−i−iiiii−i−i-221-111-1-10000−3−333−3−3−3−333330000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300−2i2i00-22000000000000i−i1-1−i3i33−3000000
χ492-2-222-1−2i2i2i−2i-22-212-2-11−2i−2i2i2i−i−iii-1-1110000i−i2i−2iii−i−i−i−iii-221-111-1-1000033−3−33333−3−3−3−30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3002i−2i00-22000000000000−ii1-1−i3i3−33000000
χ502-2-222-1−2i2i2i−2i-22-212-2-11−2i−2i2i2i−i−iii-1-1110000i−i2i−2iii−i−i−i−iii-221-111-1-1000033−3−33333−3−3−3−30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300−2i2i002-2000000000000i−i-11i3−i33−3000000
χ512-2-222-1−2i2i2i−2i-22-212-2-11−2i−2i2i2i−i−iii-1-1110000i−i2i−2iii−i−i−i−iii-221-111-1-10000−3−333−3−3−3−333330000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3002i−2i00-22000000000000−ii1-1i3−i33−3000000
χ522-2-222-1−2i2i2i−2i-22-212-2-11−2i−2i2i2i−i−iii-1-1110000i−i2i−2iii−i−i−i−iii-221-111-1-10000−3−333−3−3−3−333330000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300−2i2i002-2000000000000i−i-11−i3i3−33000000
χ532-2-22-122i−2i2i−2i2-21-2-112-2−i−iii2i2i−2i−2i-1-11100002i−2i−ii−i−iii−i−iii-112-2-1-111−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i333−3−3000033−3−333−3−32i−2i002-2000000−ii-113−3−i3i300000000000000
χ542-2-22-122i−2i2i−2i2-21-2-112-2−i−iii2i2i−2i−2i-1-11100002i−2i−ii−i−iii−i−iii-112-2-1-111−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i333−3−3000033−3−333−3−3−2i2i00-22000000i−i1-1−33i3−i300000000000000
χ552-2-22-122i−2i2i−2i2-21-2-112-2−i−iii2i2i−2i−2i-1-11100002i−2i−ii−i−iii−i−iii-112-2-1-111i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3−3−3330000−3−333−3−3332i−2i002-2000000−ii-11−33i3−i300000000000000
χ562-2-22-122i−2i2i−2i2-21-2-112-2−i−iii2i2i−2i−2i-1-11100002i−2i−ii−i−iii−i−iii-112-2-1-111i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3−3−3330000−3−333−3−333−2i2i00-22000000i−i1-13−3−i3i300000000000000
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χ582-2-22-12−2i2i−2i2i2-21-2-112-2ii−i−i−2i−2i2i2i-1-1110000−2i2ii−iii−i−iii−i−i-112-2-1-111−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−3−3330000−3−333−3−333−2i2i002-2000000i−i-11−33−i3i300000000000000
χ592-2-22-12−2i2i−2i2i2-21-2-112-2ii−i−i−2i−2i2i2i-1-1110000−2i2ii−iii−i−iii−i−i-112-2-1-111i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i333−3−3000033−3−333−3−32i−2i00-22000000−ii1-1−33−i3i300000000000000
χ602-2-22-12−2i2i−2i2i2-21-2-112-2ii−i−i−2i−2i2i2i-1-1110000−2i2ii−iii−i−iii−i−i-112-2-1-111i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i333−3−3000033−3−333−3−3−2i2i002-2000000i−i-113−3i3−i300000000000000
χ6144444-244-4-4-4-44-244-2-244442222-2-2-2-20000-2-2-4-4-2-2-2-22222-4-4222222000000000000000000000000000000000000000000000000000000000000000000
χ6244444-2-4-444-4-44-244-2-2-4-4-4-4-2-2-2-2-2-2-2-2000022442222-2-2-2-2-4-4222222000000000000000000000000000000000000000000000000000000000000000000
χ634444-2444-4-4-4-4-24-2-244-2-2-2-2-4-4-4-4-2-2-2-200004422-2-2-2-2222222-4-42222000000000000000000000000000000000000000000000000000000000000000000
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χ664444-2-2444444-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-4-4-4-4-2-2-2-211111111-2-2-2-2111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.