Finite Group Databasebeta

← Group #11787072

Character table — Group #11787072

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444412121212121212122424242424242424242424242424242424242424363636367272
order1222222222336666666666666634444666666666666666666666661212121212121212121212121212121212121212121212121212121212121212224444444444661212121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1
χ6111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111
χ8111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1
χ911-1-11-1-11-11111-1-111-1-111-11-1-1-11ii−i−i11-1-111-1-11111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11-1i−ii−ii−i1-11-11-1ii−i−ii−i11-1-1i−ii−ii−i1-1
χ1011-1-11-1-11-11111-1-111-1-111-11-1-1-11ii−i−i11-1-111-1-11111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11-1−ii−iii−i-111-11-1ii−i−i−ii-1-111−ii−ii−ii-11
χ1111-1-11-1-11-11111-1-111-1-111-11-1-1-11ii−i−i11-1-111-1-11111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-11i−ii−i−ii1-1-11-11−i−iiii−i11-1-1i−i−ii−ii-11
χ1211-1-11-1-11-11111-1-111-1-111-11-1-1-11ii−i−i11-1-111-1-11111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-11−ii−ii−ii-11-11-11−i−iii−ii-1-111−iii−ii−i1-1
χ1311-1-11-1-11-11111-1-111-1-111-11-1-1-11−i−iii11-1-111-1-11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1-11-1i−ii−i−ii-111-11-1−i−iiii−i-1-111i−ii−ii−i-11
χ1411-1-11-1-11-11111-1-111-1-111-11-1-1-11−i−iii11-1-111-1-11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1-11-1−ii−ii−ii1-11-11-1−i−iii−ii11-1-1−ii−ii−ii1-1
χ1511-1-11-1-11-11111-1-111-1-111-11-1-1-11−i−iii11-1-111-1-11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-11-11i−ii−ii−i-11-11-11ii−i−ii−i-1-111i−i−ii−ii1-1
χ1611-1-11-1-11-11111-1-111-1-111-11-1-1-11−i−iii11-1-111-1-11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-11-11−ii−iii−i1-1-11-11ii−i−i−ii11-1-1−iii−ii−i-11
χ1722222222222-1222-1-1-1-1222-1-1-12-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200002200-1-1-1-1-1-1-1-100000000000000
χ1822222222222-1222-1-1-1-1222-1-1-12-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2001111111100000000000000
χ1922222222222-1222-1-1-1-1222-1-1-12-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2111111111111111122220000-2-200-1-1-1-1111100000000000000
χ2022222222222-1222-1-1-1-1222-1-1-12-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-21111111111111111-2-2-2-2000022001111-1-1-1-100000000000000
χ212222222222-12-1-1-12222-1-1-1222-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222002200000000-1-1-1-1-1-1-1-1000000
χ222222222222-12-1-1-12222-1-1-1222-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-20000000011111111000000
χ232222222222-12-1-1-12222-1-1-1222-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111110000222200-2-200000000-1-11111-1-1000000
χ242222222222-12-1-1-12222-1-1-1222-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111110000-2-2-2-200220000000011-1-1-1-111000000
χ2522222-2-2-22-2222-2-22222-2-222222200002-22-2-2-2-2-2222-2-2-2-2222-2-2-2-220000000000000000000000000000000022-2-20000000022-2-2000000000000000000
χ2622222-2-2-22-2222-2-22222-2-222222200002-22-2-2-2-2-2222-2-2-2-2222-2-2-2-2200000000000000000000000000000000-2-22200000000-2-222000000000000000000
χ2722222-2-2-22-22-12-2-2-1-1-1-1-2-22-1-1-12-100002-22-21111-1-1-11111-1-1-11111-1−i3−i3i3i3−i3−i3i3i300000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i322-2-200000000-1-111−i3i3−i3i300000000000000
χ2822222-2-2-22-22-12-2-2-1-1-1-1-2-22-1-1-12-100002-22-21111-1-1-11111-1-1-11111-1−i3−i3i3i3−i3−i3i3i300000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-2-2220000000011-1-1i3−i3i3−i300000000000000
χ2922222-2-2-22-22-12-2-2-1-1-1-1-2-22-1-1-12-100002-22-21111-1-1-11111-1-1-11111-1i3i3−i3−i3i3i3−i3−i300000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i322-2-200000000-1-111i3−i3i3−i300000000000000
χ3022222-2-2-22-22-12-2-2-1-1-1-1-2-22-1-1-12-100002-22-21111-1-1-11111-1-1-11111-1i3i3−i3−i3i3i3−i3−i300000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-2-2220000000011-1-1−i3i3−i3i300000000000000
χ312222-22-22-2-222222-2-2222222-2-2220000-2-2-2-22-22-22-2-222-2-22-2-222-2-2200000000000000000000000000000000000022-2-2000000000000220000-2-2000000
χ322222-22-22-2-222222-2-2222222-2-2220000-2-2-2-22-22-22-2-222-2-22-2-222-2-22000000000000000000000000000000000000-2-222000000000000-2-2000022000000
χ332222-22-22-2-2-12-1-1-1-2-222-1-1-12-2-2-1-1000011112-22-2-111-1-111-111-1-111-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000022-2-2000000000000-1-1−i3i3−i3i311000000
χ342222-22-22-2-2-12-1-1-1-2-222-1-1-12-2-2-1-1000011112-22-2-111-1-111-111-1-111-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000-2-22200000000000011i3−i3i3−i3-1-1000000
χ352222-22-22-2-2-12-1-1-1-2-222-1-1-12-2-2-1-1000011112-22-2-111-1-111-111-1-111-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000022-2-2000000000000-1-1i3−i3i3−i311000000
χ362222-22-22-2-2-12-1-1-1-2-222-1-1-12-2-2-1-1000011112-22-2-111-1-111-111-1-111-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000-2-22200000000000011−i3i3−i3i3-1-1000000
χ372222-2-22-2-22222-2-2-2-222-2-222-2-2220000-22-22-22-222-2-2-2-2222-2-2-2-222200000000000000000000000000000000000000000000000000000000000022-2-200
χ382222-2-22-2-22222-2-2-2-222-2-222-2-2220000-22-22-22-222-2-2-2-2222-2-2-2-2222000000000000000000000000000000000000000000000000000000000000-2-22200
χ3922-2-2222-2-2-22222222-2-2-2-2-22-2-2-2200002-2-22-2-222222-2-2-2-2-2-2-22222-2000000000000000000000000000000002-2-22000000002-2-22000000000000000000
χ4022-2-2222-2-2-22222222-2-2-2-2-22-2-2-2200002-2-22-2-222222-2-2-2-2-2-2-22222-200000000000000000000000000000000-222-200000000-222-2000000000000000000
χ4122-2-2222-2-2-22-1222-1-111-2-2-2-111-2-100002-2-2211-1-1-1-1-11111111-1-1-1-1133−3−3−3−333000000003333−3−3−3−3−3−3−3−333332-2-2200000000-111-13−3−3300000000000000
χ4222-2-2222-2-2-22-1222-1-111-2-2-2-111-2-100002-2-2211-1-1-1-1-11111111-1-1-1-1133−3−3−3−333000000003333−3−3−3−3−3−3−3−33333-222-2000000001-1-11−333−300000000000000
χ4322-2-2222-2-2-22-1222-1-111-2-2-2-111-2-100002-2-2211-1-1-1-1-11111111-1-1-1-11−3−33333−3−300000000−3−3−3−333333333−3−3−3−32-2-2200000000-111-1−333−300000000000000
χ4422-2-2222-2-2-22-1222-1-111-2-2-2-111-2-100002-2-2211-1-1-1-1-11111111-1-1-1-11−3−33333−3−300000000−3−3−3−333333333−3−3−3−3-222-2000000001-1-113−3−3300000000000000
χ4522-2-22-2-22-222-12-2-2-1-11122-2-111-2-12i2i−2i−2i22-2-2-1-111-1-1-1-1-1-1-111111111−i−i−i−iiiii2i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii2-22-200002i−2i00-11-11−i−iii00000000000000
χ4622-2-22-2-22-222-12-2-2-1-11122-2-111-2-12i2i−2i−2i22-2-2-1-111-1-1-1-1-1-1-111111111−i−i−i−iiiii2i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii-22-220000−2i2i001-11-1ii−i−i00000000000000
χ4722-2-22-2-22-222-12-2-2-1-11122-2-111-2-1−2i−2i2i2i22-2-2-1-111-1-1-1-1-1-1-111111111iiii−i−i−i−i−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i2-22-20000−2i2i00-11-11ii−i−i00000000000000
χ4822-2-22-2-22-222-12-2-2-1-11122-2-111-2-1−2i−2i2i2i22-2-2-1-111-1-1-1-1-1-1-111111111iiii−i−i−i−i−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i-22-2200002i−2i001-11-1−i−iii00000000000000
χ4922-2-22-2-22-22-12-11122-2-2-1-112-2-21-12i2i−2i−2i-1-11122-2-2-1-1-1-1-1-1-1111111112i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii00002i−2i2i−2i002-200000000−ii-1-111−ii000000
χ5022-2-22-2-22-22-12-11122-2-2-1-112-2-21-12i2i−2i−2i-1-11122-2-2-1-1-1-1-1-1-1111111112i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii0000−2i2i−2i2i00-2200000000i−i11-1-1i−i000000
χ5122-2-22-2-22-22-12-11122-2-2-1-112-2-21-1−2i−2i2i2i-1-11122-2-2-1-1-1-1-1-1-111111111−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i00002i−2i2i−2i00-2200000000−ii11-1-1−ii000000
χ5222-2-22-2-22-22-12-11122-2-2-1-112-2-21-1−2i−2i2i2i-1-11122-2-2-1-1-1-1-1-1-111111111−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i0000−2i2i−2i2i002-200000000i−i-1-111i−i000000
χ5322-2-2-22-2-22222222-2-2-2-2-2-2-2222-220000-222-2-222-22-2-2-2-222-22222-2-2-20000000000000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ5422-2-2-22-2-22222222-2-2-2-2-2-2-2222-220000-222-2-222-22-2-2-2-222-22222-2-2-2000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ5522-2-2-2-2222-2222-2-2-2-2-2-222-2222-220000-2-2222-2-222-2-222-2-2-222-2-222-20000000000000000000000000000000000002i−2i−2i2i0000000000002i−2i0000−2i2i000000
χ5622-2-2-2-2222-2222-2-2-2-2-2-222-2222-220000-2-2222-2-222-2-222-2-2-222-2-222-2000000000000000000000000000000000000−2i2i2i−2i000000000000−2i2i00002i−2i000000
χ5722-2-2-2-2222-2-12-111-2-2-2-2-1-112221-1000011-1-12-2-22-111-1-1111-1-111-1-110000000033−3−3−3−33333−3−333−3−3−3−333−3−33300002i−2i−2i2i000000000000−ii−i3i3i3−i3i−i000000
χ5822-2-2-2-2222-2-12-111-2-2-2-2-1-112221-1000011-1-12-2-22-111-1-1111-1-111-1-110000000033−3−3−3−33333−3−333−3−3−3−333−3−3330000−2i2i2i−2i000000000000i−ii3−i3−i3i3−ii000000
χ5922-2-2-2-2222-2-12-111-2-2-2-2-1-112221-1000011-1-12-2-22-111-1-1111-1-111-1-1100000000−3−33333−3−3−3−333−3−33333−3−333−3−300002i−2i−2i2i000000000000−iii3−i3−i3i3i−i000000
χ6022-2-2-2-2222-2-12-111-2-2-2-2-1-112221-1000011-1-12-2-22-111-1-1111-1-111-1-1100000000−3−33333−3−3−3−333−3−33333−3−333−3−30000−2i2i2i−2i000000000000i−i−i3i3i3−i3−ii000000
χ614444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-214444-2-2-2-2-2-2-2-2111111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111110000000000000000000000000000000000
χ624444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-2-2-2-2-2-2-21111111111111112222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000
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χ6544444-4-4-44-4-2-2-222-2-2-2-222-2-2-2-2-210000-22-222222111-1-1-1-1111-1-1-1-112i32i3−2i3−2i32i32i3−2i3−2i300000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.