Finite Group Databasebeta

← Group #11788216

Character table — Group #11788216

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222444422334466666612121212121212123666666612121212121212124466121212121212121212121212121212121212224444446666121212121212121212121212246688121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-11-1-1-11111-1-1-1-1111111-1-1-1-11-11-1ii−i−i11-1-111-1-1iiii−i−i−i−i1-111i−i-1-1ii−i−iii−i−ii−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-11-1-1-11111-1-1-1-1111111-1-1-1-11-11-1−i−iii11-1-111-1-1−i−i−i−iiiii1-111−ii-1-1−i−iii−i−iii−ii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-11-1-1-11111-1-1-1-1111111-1-1-1-1-11-11ii−i−i-1-111-1-111iiii−i−i−i−i-11-1-1i−i11ii−i−i−i−iii−ii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-11-1-1-11111-1-1-1-1111111-1-1-1-1-11-11−i−iii-1-111-1-111−i−i−i−iiiii-11-1-1−ii11−i−iiiii−i−ii−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-111111-11-1ii−i−i11-1-111-1-1iiii−i−i−i−i-11-1-1−ii11−i−iiiii−i−i−ii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-111111-11-1−i−iii11-1-111-1-1−i−i−i−iiiii-11-1-1i−i11ii−i−i−i−iiii−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-11111-11-11ii−i−i-1-111-1-111iiii−i−i−i−i1-111−ii-1-1−i−iii−i−iiii−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-11111-11-11−i−iii-1-111-1-111−i−i−i−iiiii1-111i−i-1-1ii−i−iii−i−i−ii
χ1722222222222-122222-1-1-122-1-1-1-122-12-1-1-1-1-1222-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000022-1-100-1-10000000000
χ1822222222222-122222-1-1-122-1-1-1-122-12-1-1-1-1-1222-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-21100110000000000
χ1922222222222-122222-1-1-122-1-1-1-122-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-1-1-2-211-2-211-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-21100110000000000
χ2022222222222-122222-1-1-122-1-1-1-122-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-1-1-2-211-2-211-1-111111111-2-2-2-20000111111110000000022-1-100-1-10000000000
χ212222222222-1222-1-1-1222-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100002200-1-1-1-1000000
χ222222222222-1222-1-1-1222-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000-2-2001111000000
χ232222222222-1222-1-1-1222-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-1-111-2-211-2-2-1-1111111110000222200000000-1-1-1-1-1-1-1-10000-2-2001111000000
χ242222222222-1222-1-1-1222-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-1-111-2-211-2-2-1-1111111110000-2-2-2-2000000001111111100002200-1-1-1-1000000
χ2522222222-2-222-2-2222222222222222-2-2-2222-2-2-2-2-2222200-2-200000000-2-2000000002-2-22000022-2-2-2-22200000000000000000000000000
χ2622222222-2-222-2-2222222222222222-2-2-2222-2-2-2-2-2222200-2-200000000-2-200000000-222-20000-2-22222-2-200000000000000000000000000
χ2722222222-2-22-1-2-2222-1-1-122-1-1-1-122-1-211-1-1-1-2-2-211-1-1-1-1001100−i3i300−i3i311−i3−i3i3i3−i3−i3i3i32-2-220000-1-11111-1-10000000000−i3i300−i3i30000000000
χ2822222222-2-22-1-2-2222-1-1-122-1-1-1-122-1-211-1-1-1-2-2-211-1-1-1-1001100−i3i300−i3i311−i3−i3i3i3−i3−i3i3i3-222-2000011-1-1-1-1110000000000i3−i300i3−i30000000000
χ2922222222-2-22-1-2-2222-1-1-122-1-1-1-122-1-211-1-1-1-2-2-211-1-1-1-1001100i3−i300i3−i311i3i3−i3−i3i3i3−i3−i32-2-220000-1-11111-1-10000000000i3−i300i3−i30000000000
χ3022222222-2-22-1-2-2222-1-1-122-1-1-1-122-1-211-1-1-1-2-2-211-1-1-1-1001100i3−i300i3−i311i3i3−i3−i3i3i3−i3−i3-222-2000011-1-1-1-1110000000000−i3i300−i3i30000000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2002200000000-2-20000000022-2-200002222-2-2-2-200000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2002200000000-2-200000000-2-2220000-2-2-2-2222200000000000000000000000000
χ332222-2-2-2-2222-1-2-2222-1-1-1-2-21111-2-2-12-1-1-1-1-12-2-211111100-1-100−i3i300i3−i311−i3−i3i3i3i3i3−i3−i322-2-20000-1-1-1-111110000000000−i3i300i3−i30000000000
χ342222-2-2-2-2222-1-2-2222-1-1-1-2-21111-2-2-12-1-1-1-1-12-2-211111100-1-100−i3i300i3−i311−i3−i3i3i3i3i3−i3−i3-2-22200001111-1-1-1-10000000000i3−i300−i3i30000000000
χ352222-2-2-2-2222-1-2-2222-1-1-1-2-21111-2-2-12-1-1-1-1-12-2-211111100-1-100i3−i300−i3i311i3i3−i3−i3−i3−i3i3i322-2-20000-1-1-1-111110000000000i3−i300−i3i30000000000
χ362222-2-2-2-2222-1-2-2222-1-1-1-2-21111-2-2-12-1-1-1-1-12-2-211111100-1-100i3−i300−i3i311i3i3−i3−i3−i3−i3i3i3-2-22200001111-1-1-1-10000000000−i3i300i3−i30000000000
χ372222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-1-211-1-1-1-222-1-111112-21122-1-1-2-211-1-1-1-1-1-111112-22-20000-1-111-1-111000000002-2-1-100110000000000
χ382222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-1-211-1-1-1-222-1-111112-21122-1-1-2-211-1-1-1-1-1-11111-22-22000011-1-111-1-100000000-221100-1-10000000000
χ392222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-1-211-1-1-1-222-1-11111-2211-2-21122-1-1-1-11111-1-1-1-12-22-20000-1-111-1-11100000000-221100-1-10000000000
χ402222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-1-211-1-1-1-222-1-11111-2211-2-21122-1-1-1-11111-1-1-1-1-22-22000011-1-111-1-1000000002-2-1-100110000000000
χ412222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-11-2-2-1-1-11-1-12211112-211-1-12211-2-2-1-1-1-1-1-1111100002i2i−2i−2i00000000−i−i−i−iiiii00002i−2i00−i−iii000000
χ422222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-11-2-2-1-1-11-1-12211112-211-1-12211-2-2-1-1-1-1-1-111110000−2i−2i2i2i00000000iiii−i−i−i−i0000−2i2i00ii−i−i000000
χ432222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-11-2-2-1-1-11-1-1221111-221111-2-2-1-122-1-11111-1-1-1-100002i2i−2i−2i00000000−i−i−i−iiiii0000−2i2i00ii−i−i000000
χ442222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-11-2-2-1-1-11-1-1221111-221111-2-2-1-122-1-11111-1-1-1-10000−2i−2i2i2i00000000iiii−i−i−i−i00002i−2i00−i−iii000000
χ452-2-2222-2-22-2222-22-2-2-2-22-2-222-2-222222-22-2-2-22-22-222-2-2002-2000000002-20000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000
χ462-2-2222-2-22-2222-22-2-2-2-22-2-222-2-222222-22-2-2-22-22-222-2-2002-2000000002-2000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ472-2-2222-2-22-2-122-2-111-2-221122-2-2-1-1-1-12-2-1111-112-2-1-11100-113−3003−300-113−33−33−33−300002i−2i2i−2i00000000−i−iii−i−iii00000000−i3i3−i3i3000000
χ482-2-2222-2-22-2-122-2-111-2-221122-2-2-1-1-1-12-2-1111-112-2-1-11100-113−3003−300-113−33−33−33−30000−2i2i−2i2i00000000ii−i−iii−i−i00000000i3−i3i3−i3000000
χ492-2-2222-2-22-2-122-2-111-2-221122-2-2-1-1-1-12-2-1111-112-2-1-11100-11−3300−3300-11−33−33−33−3300002i−2i2i−2i00000000−i−iii−i−iii00000000i3−i3i3−i3000000
χ502-2-2222-2-22-2-122-2-111-2-221122-2-2-1-1-1-12-2-1111-112-2-1-11100-11−3300−3300-11−33−33−33−330000−2i2i−2i2i00000000ii−i−iii−i−i00000000−i3i3−i3i3000000
χ512-2-2222-2-2-2222-222-2-2-2-22-2-222-2-2222-2-222-2-22-22-2222-2-200-2200000000-22000000000000000000000000000000000000000000002-22-200
χ522-2-2222-2-2-2222-222-2-2-2-22-2-222-2-2222-2-222-2-22-22-2222-2-200-2200000000-2200000000000000000000000000000000000000000000-22-2200
χ532-2-22-2-2222-222-222-2-2-2-2222-2-222-2-2222-22-2-2-2-22-22-2-222002-200000000-22000000000000000000000000000000000000000000002i−2i−2i2i00
χ542-2-22-2-2222-222-222-2-2-2-2222-2-222-2-2222-22-2-2-2-22-22-2-222002-200000000-2200000000000000000000000000000000000000000000−2i2i2i−2i00
χ552-2-22-2-222-22222-22-2-2-2-2222-2-222-2-22-2-222-2-222-22-2-2-22200-22000000002-20000000000002-2-220000000022-2-2-2-222000000000000000000
χ562-2-22-2-222-22222-22-2-2-2-2222-2-222-2-22-2-222-2-222-22-2-2-22200-22000000002-2000000000000-222-200000000-2-22222-2-2000000000000000000
χ572-2-22-2-222-22-122-2-111-2-22-1-1-2-22211-11-22-111-1-112-211-1-1001-13−300−3300-113−33−3−33−3300002-2-2200000000-1-11111-1-100000000−333−3000000
χ582-2-22-2-222-22-122-2-111-2-22-1-1-2-22211-11-22-111-1-112-211-1-1001-13−300−3300-113−33−3−33−330000-222-20000000011-1-1-1-111000000003−3−33000000
χ592-2-22-2-222-22-122-2-111-2-22-1-1-2-22211-11-22-111-1-112-211-1-1001-1−33003−300-11−33−333−33−300002-2-2200000000-1-11111-1-1000000003−3−33000000
χ602-2-22-2-222-22-122-2-111-2-22-1-1-2-22211-11-22-111-1-112-211-1-1001-1−33003−300-11−33−333−33−30000-222-20000000011-1-1-1-11100000000−333−3000000
χ614444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-211114411-2-2-2-2-2-2-2-21111111111000000000000000000000000000000000000000000
χ624444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-21111-4-4112222222211-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
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χ6444444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2122211122222111100-1-100−2i32i300−2i32i3-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ6544444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2122211122222111100-1-1002i3−2i3002i3−2i3-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
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χ694444-4-4-4-4-4-4-2-244-2-2-2-2-2-22222222212221112-2-2-2-2-1-1-1-14-4-1-1-2-2-2-22222111111-1-1-1-1000000000000000000000000000000000000000000
χ704444-4-4-4-4-4-4-2-244-2-2-2-2-2-22222222212221112-2-2-2-2-1-1-1-1-44-1-12222-2-2-2-211-1-1-1-11111000000000000000000000000000000000000000000
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χ7344-4-44i−4i4i−4i004-200-44-4-2224i−4i−2i2i−2i2i4i−4i-20002-2200000−2i2i−2i2i0000000000000000000000000000002i3−2i30000−232300000000000000000000000000
χ7444-4-44i−4i4i−4i00-24002-224-4-4−2i2i4i−4i4i−4i−2i2i-20002-2200000−2i2i−2i2i00000000000000000000000000000000000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.