Finite Group Databasebeta

← Group #11784908

Character table — Group #11784908

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order122222334444666666121212123666666612121212121212121212668812122424242424242424242424242424242422224444444412121212121212124466661212121212121212444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1
χ91-1-111-11111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i1-11-11-11-1ii−i−iiiii−i−i−i−ii−i1-11-11-11-1ii−i−i11-1-1i−i
χ101-1-111-11111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i1-1-111-1-11ii−i−iiiii−i−i−i−i−ii1-1-111-1-11−i−iii-1-111−ii
χ111-1-111-11111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-111-1-111-1−i−iii−i−i−i−iiiiii−i-111-1-111-1ii−i−i-1-111−ii
χ121-1-111-11111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-11-11-11-11−i−iii−i−i−i−iiiii−ii-11-11-11-11−i−iii11-1-1i−i
χ131-1-111-11111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii1-11-11-11-1−i−iii−i−i−i−iiiii−ii1-11-11-11-1−i−iii11-1-1−ii
χ141-1-111-11111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii1-1-111-1-11−i−iii−i−i−i−iiiiii−i1-1-111-1-11ii−i−i-1-111i−i
χ151-1-111-11111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-111-1-111-1ii−i−iiiii−i−i−i−i−ii-111-1-111-1−i−iii-1-111i−i
χ161-1-111-11111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-11-11-11-11ii−i−iiiii−i−i−i−ii−i-11-11-11-11ii−i−i11-1-1−ii
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000000000000000000000000002-22-200
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000000000000000000000000-22-2200
χ192222222-1222222-12-1-12222-12-1-1-1-1-122-1-12-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002200220000000000002200-1-100-1-1-1-1-1-1000000
χ202222222-1222222-12-1-12222-12-1-1-1-1-122-1-12-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000-2-2001100111111000000
χ212222222-1222222-12-1-12222-12-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100220022000000000000-2-200-1-100-1-11111000000
χ222222222-1222222-12-1-12222-12-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100-2-200-2-20000000000002200110011-1-1-1-1000000
χ23222222-122222-1-12-122-1-1-1-1-1-122-1-1-1-1-122-12-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1220022002222-1-1-1-1-1-1-1-100-1-100-1-1000000000000
χ24222222-122222-1-12-122-1-1-1-1-1-122-1-1-1-1-122-12-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-200-2-200-2-2-2-21111111100110011000000000000
χ25222222-122222-1-12-122-1-1-1-1-1-122-1-1-1-1-122-12-1-12-1-1-1-1-2-2-1-11111-2-21111-2-2111122002200-2-2-2-21111111100-1-100-1-1000000000000
χ26222222-122222-1-12-122-1-1-1-1-1-122-1-1-1-1-122-12-1-12-1-1-1-1-2-2-1-11111-2-21111-2-21111-2-200-2-2002222-1-1-1-1-1-1-1-100110011000000000000
χ272222-2-2222-22-222222222222-2-2-2222-2-22-2-2-222222-2-200-2-20000000000000000002200-2-200000000000000002200-2-20000000000
χ282222-2-2222-22-222222222222-2-2-2222-2-22-2-2-222222-2-200-2-2000000000000000000-2-200220000000000000000-2-200220000000000
χ292222-2-222-22-22222222-2-2-2-22-2-2-2222-22-2222-2-2-2-2-2-2-2002200000000000000002200-2-200000000000000002200-2-2000000000000
χ302222-2-222-22-22222222-2-2-2-22-2-2-2222-22-2222-2-2-2-2-2-2-200220000000000000000-2-200220000000000000000-2-20022000000000000
χ312222-2-22-12-22-222-12-1-12222-1-211-1-1-1-2-2-11-21-1-1-1-1-11100110000−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3002200-2-20000000000000000-1-10011−i3i3−i3i3000000
χ322222-2-22-12-22-222-12-1-12222-1-211-1-1-1-2-2-11-21-1-1-1-1-11100110000−i3i3−i3−i3i3i3−i3i3−i3−i3i3i300-2-2002200000000000000001100-1-1i3−i3i3−i3000000
χ332222-2-22-12-22-222-12-1-12222-1-211-1-1-1-2-2-11-21-1-1-1-1-11100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3002200-2-20000000000000000-1-10011i3−i3i3−i3000000
χ342222-2-22-12-22-222-12-1-12222-1-211-1-1-1-2-2-11-21-1-1-1-1-11100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i300-2-2002200000000000000001100-1-1−i3i3−i3i3000000
χ352222-2-2-12-22-22-1-12-1221111-11-2-2-1-1-11-1-22-1211-2111100-1-13−33−3003−33−3003−33−32200-2-200000033−3−333−3−300-1-10011000000000000
χ362222-2-2-12-22-22-1-12-1221111-11-2-2-1-1-11-1-22-1211-2111100-1-13−33−3003−33−3003−33−3-2-20022000000−3−333−3−333001100-1-1000000000000
χ372222-2-2-12-22-22-1-12-1221111-11-2-2-1-1-11-1-22-1211-2111100-1-1−33−3300−33−3300−33−332200-2-2000000−3−333−3−33300-1-10011000000000000
χ382222-2-2-12-22-22-1-12-1221111-11-2-2-1-1-11-1-22-1211-2111100-1-1−33−3300−33−3300−33−33-2-2002200000033−3−333−3−3001100-1-1000000000000
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χ402-2-222-222-2-222-2-2-222-2-2-222222-2-2-22-2-2-2-222-2-22222-200-2200000000000000000000000000000000000000000000000000-222-200
χ412-2-222-22-122-2-2-2-212-1122-2-2-12-1111-1-22-1-1-21-1-1111-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii002-2002-20000000000002i−2i00-1100-11−i−iii000000
χ422-2-222-22-122-2-2-2-212-1122-2-2-12-1111-1-22-1-1-21-1-1111-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii00-2200-22000000000000−2i2i001-1001-1ii−i−i000000
χ432-2-222-22-122-2-2-2-212-1122-2-2-12-1111-1-22-1-1-21-1-1111-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i002-2002-2000000000000−2i2i00-1100-11ii−i−i000000
χ442-2-222-22-122-2-2-2-212-1122-2-2-12-1111-1-22-1-1-21-1-1111-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i00-2200-220000000000002i−2i001-1001-1−i−iii000000
χ452-2-222-2-1222-2-211-2-12-2-1-111-1-12-211-11-1221-2-1-1-211-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii2-2002-2002i2i−2i−2i−i−i−i−iiiii00-1100-11000000000000
χ462-2-222-2-1222-2-211-2-12-2-1-111-1-12-211-11-1221-2-1-1-211-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii-2200-2200−2i−2i2i2iiiii−i−i−i−i001-1001-1000000000000
χ472-2-222-2-1222-2-211-2-12-2-1-111-1-12-211-11-1221-2-1-1-211-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i2-2002-200−2i−2i2i2iiiii−i−i−i−i00-1100-11000000000000
χ482-2-222-2-1222-2-211-2-12-2-1-111-1-12-211-11-1221-2-1-1-211-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i-2200-22002i2i−2i−2i−i−i−i−iiiii001-1001-1000000000000
χ492-2-22-22222-2-22-2-2-222-222-2-22-2-22-2-222-22-22222-2-2-2-2200-220000000000000000002-200-2200000000000000002-200-220000000000
χ502-2-22-22222-2-22-2-2-222-222-2-22-2-22-2-222-22-22222-2-2-2-2200-22000000000000000000-22002-20000000000000000-22002-20000000000
χ512-2-22-2222-222-2-2-2-222-2-2-2222-2-22-2-2222-22-2-2-2-2222-22002-200000000000000002-200-2200000000000000002-200-22000000000000
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χ542-2-22-222-12-2-22-2-212-1122-2-2-1-21-111-12-2-112-1-1-11111-1001-100003−333−3−3−33−3−33300-22002-200000000000000001-100-11−333−3000000
χ552-2-22-222-12-2-22-2-212-1122-2-2-1-21-111-12-2-112-1-1-11111-1001-10000−33−3−3333−333−3−3002-200-220000000000000000-11001-1−333−3000000
χ562-2-22-222-12-2-22-2-212-1122-2-2-1-21-111-12-2-112-1-1-11111-1001-10000−33−3−3333−333−3−300-22002-200000000000000001-100-113−3−33000000
χ572-2-22-22-12-222-211-2-12-211-1-1-11-2211-1-1-1-221-2112-1-11-100-11−i3i3i3−i300−i3i3−i3i300i3−i3i3−i32-200-22000000−i3−i3i3i3i3i3−i3−i300-11001-1000000000000
χ582-2-22-22-12-222-211-2-12-211-1-1-11-2211-1-1-1-221-2112-1-11-100-11−i3i3i3−i300−i3i3−i3i300i3−i3i3−i3-22002-2000000i3i3−i3−i3−i3−i3i3i3001-100-11000000000000
χ592-2-22-22-12-222-211-2-12-211-1-1-11-2211-1-1-1-221-2112-1-11-100-11i3−i3−i3i300i3−i3i3−i300−i3i3−i3i32-200-22000000i3i3−i3−i3−i3−i3i3i300-11001-1000000000000
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χ914-4-44-444-2-444-4-4-424-22-4-444-2-42-222-2442-2-4222-2-2-22-200-2200000000000000000000000000000000000000000000000000000000
χ924-4-44-44-244-4-4422-4-24-4-2-222-22-4422-2-224-4-24-2-2-4222-2002-200000000000000000000000000000000000000000000000000000000
χ934-4-44-44-2-24-4-44222-2-22-2-222122-2-1-11-22-22-2-2112-1-1-1100-11000023−23−3−333−232333−3−30000000000000000000000000000000000000000
χ944-4-44-44-2-24-4-44222-2-22-2-222122-2-1-11-22-22-2-2112-1-1-1100-110000−232333−3−323−23−3−3330000000000000000000000000000000000000000
χ954-4-44-44-2-2-444-4222-2-2222-2-2122-2-1-11-2-22-222-1-1-211-11001-1−2i32i32i3−2i300i3−i3i3−i300−i3i3−i3i30000000000000000000000000000000000000000
χ964-4-44-44-2-2-444-4222-2-2222-2-2122-2-1-11-2-22-222-1-1-211-11001-12i3−2i3−2i32i300−i3i3−i3i300i3−i3i3−i30000000000000000000000000000000000000000
χ9788-8-8008-400008-8-4-8440000-4000-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-44-444443−4343−4320002-2-2000000−23230−232300000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-44-4444−4343−434320002-2-200000023−23023−2300000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-40000-884-84-40000-40004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-400004-4444-443−43−43432000-22-2000000−2323023−2300000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400004-4444-4−434343−432000-22-200000023−230−232300000000000000000000000000000000000000000000000000000000000000

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