Finite Group Databasebeta

← Group #11788205

Character table — Group #11788205

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order122244442233446666661212121212121212366666661212121212121212668812122424242424242424242424242424242422444444666612121212121212121212121244881212121224242424444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i1-11-1ii−i−i11-1-111-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−iii−i−i1-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i1-11-1−i−iii11-1-111-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i−i−iii-11
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i-11-11ii−i−i-1-111-1-111iiii−i−i−i−i1-1−ii11-1-1−i−iii−i−iii-11
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i-11-11−i−iii-1-111-1-111−i−i−i−iiiii-11−ii-1-111−i−iiiii−i−i1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii1-11-1ii−i−i11-1-111-1-1iiii−i−i−i−i-11−ii-1-111−i−iiiii−i−i-11
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii1-11-1−i−iii11-1-111-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii−i−iii1-1
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii-11-11ii−i−i-1-111-1-111iiii−i−i−i−i-11i−i-1-111ii−i−i−i−iii1-1
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii-11-11−i−iii-1-111-1-111−i−i−i−iiiii1-1i−i11-1-1ii−i−iii−i−i-11
χ1722222222222-122-1-1222-12222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000220000-1-1-1-1000000
χ1822222222222-122-1-1222-12222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000-2-200001111000000
χ1922222222222-122-1-1222-12222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-1-1-2-211-2-2111111111122220000-1-1-1-1-1-1-1-10000000000-2-200001111000000
χ2022222222222-122-1-1222-12222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-1-1-2-211-2-21111111111-2-2-2-20000111111110000000000220000-1-1-1-1000000
χ212222222222-122222-1-1-12-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-12200-1-1-1-10000000000
χ222222222222-122222-1-1-12-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111-2-20011110000000000
χ232222222222-122222-1-1-12-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-1-111-2-211-2-2111111110000222200000000-1-1-1-1-1-1-1-1-2-20011110000000000
χ242222222222-122222-1-1-12-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-1-111-2-211-2-2111111110000-2-2-2-200000000111111112200-1-1-1-10000000000
χ2522222222-2-222-2-2222222222222222-2-2-2222-2-2-2-2-22222-2-200-2-200000000000000002-2-22000022-2-2-2-22200000000000000000000000000
χ2622222222-2-222-2-2222222222222222-2-2-2222-2-2-2-2-22222-2-200-2-20000000000000000-222-20000-2-22222-2-200000000000000000000000000
χ2722222222-2-22-1-2-2-1-1222-12222-1-1-1-1-1-211-1-1-1-2-2-211-1-1-1-111001100−i3i300−i3i3−i3−i3i3i3−i3−i3i3i32-2-220000-1-11111-1-10000000000000000−i3i3−i3i3000000
χ2822222222-2-22-1-2-2-1-1222-12222-1-1-1-1-1-211-1-1-1-2-2-211-1-1-1-111001100−i3i300−i3i3−i3−i3i3i3−i3−i3i3i3-222-2000011-1-1-1-1110000000000000000i3−i3i3−i3000000
χ2922222222-2-22-1-2-2-1-1222-12222-1-1-1-1-1-211-1-1-1-2-2-211-1-1-1-111001100i3−i300i3−i3i3i3−i3−i3i3i3−i3−i32-2-220000-1-11111-1-10000000000000000i3−i3i3−i3000000
χ3022222222-2-22-1-2-2-1-1222-12222-1-1-1-1-1-211-1-1-1-2-2-211-1-1-1-111001100i3−i300i3−i3i3i3−i3−i3i3i3−i3−i3-222-2000011-1-1-1-1110000000000000000−i3i3−i3i3000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200-2-2000000000000000022-2-200002222-2-2-2-200000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200-2-20000000000000000-2-2220000-2-2-2-2222200000000000000000000000000
χ332222-2-2-2-2222-1-2-2-1-1222-1-2-2-2-21111-12-1-1-1-1-12-2-2111111-1-10011003−300−3333−3−3−3−33322-2-20000-1-1-1-1111100000000000000003−3−33000000
χ342222-2-2-2-2222-1-2-2-1-1222-1-2-2-2-21111-12-1-1-1-1-12-2-2111111-1-10011003−300−3333−3−3−3−333-2-22200001111-1-1-1-10000000000000000−333−3000000
χ352222-2-2-2-2222-1-2-2-1-1222-1-2-2-2-21111-12-1-1-1-1-12-2-2111111-1-1001100−33003−3−3−33333−3−322-2-20000-1-1-1-111110000000000000000−333−3000000
χ362222-2-2-2-2222-1-2-2-1-1222-1-2-2-2-21111-12-1-1-1-1-12-2-2111111-1-1001100−33003−3−3−33333−3−3-2-22200001111-1-1-1-100000000000000003−3−33000000
χ372222-2-2-2-2-2-22-122-1-1222-1-2-2-2-21111-1-211-1-1-1-222-1-11111112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii2-22-20000-1-111-1-11100000000002i−2i0000−i−iii000000
χ382222-2-2-2-2-2-22-122-1-1222-1-2-2-2-21111-1-211-1-1-1-222-1-11111112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii-22-22000011-1-111-1-10000000000−2i2i0000ii−i−i000000
χ392222-2-2-2-2-2-22-122-1-1222-1-2-2-2-21111-1-211-1-1-1-222-1-1111111−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i2-22-20000-1-111-1-1110000000000−2i2i0000ii−i−i000000
χ402222-2-2-2-2-2-22-122-1-1222-1-2-2-2-21111-1-211-1-1-1-222-1-1111111−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i-22-22000011-1-111-1-100000000002i−2i0000−i−iii000000
χ412222-2-2-2-2-2-2-122222-1-1-121111-2-2-2-2-11-2-2-1-1-11-1-1221111112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii00002i2i−2i−2i00000000−i−i−i−iiiii2-200-1-1110000000000
χ422222-2-2-2-2-2-2-122222-1-1-121111-2-2-2-2-11-2-2-1-1-11-1-1221111112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii0000−2i−2i2i2i00000000iiii−i−i−i−i-220011-1-10000000000
χ432222-2-2-2-2-2-2-122222-1-1-121111-2-2-2-2-11-2-2-1-1-11-1-122111111−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i00002i2i−2i−2i00000000−i−i−i−iiiii-220011-1-10000000000
χ442222-2-2-2-2-2-2-122222-1-1-121111-2-2-2-2-11-2-2-1-1-11-1-122111111−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i0000−2i−2i2i2i00000000iiii−i−i−i−i2-200-1-1110000000000
χ452-2-2222-2-22-2222-2-2-22-2-22-2-22222-2-2222-2-2-22-22-22-2-2-2222-2002-2000000000000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000
χ462-2-2222-2-22-2222-2-2-22-2-22-2-22222-2-2222-2-2-22-22-22-2-2-2222-2002-200000000000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ472-2-2222-2-22-2-122-2-2-2-111211-1-122-2-2-1-12-211-11-112-211-1-1-1100-11−i3i300−i3i300−i3i3−i3i3−i3i3−i3i300002i−2i2i−2i00000000−i−iii−i−iii00003−33−30000000000
χ482-2-2222-2-22-2-122-2-2-2-111211-1-122-2-2-1-12-211-11-112-211-1-1-1100-11−i3i300−i3i300−i3i3−i3i3−i3i3−i3i30000−2i2i−2i2i00000000ii−i−iii−i−i0000−33−330000000000
χ492-2-2222-2-22-2-122-2-2-2-111211-1-122-2-2-1-12-211-11-112-211-1-1-1100-11i3−i300i3−i300i3−i3i3−i3i3−i3i3−i300002i−2i2i−2i00000000−i−iii−i−iii0000−33−330000000000
χ502-2-2222-2-22-2-122-2-2-2-111211-1-122-2-2-1-12-211-11-112-211-1-1-1100-11i3−i300i3−i300i3−i3i3−i3i3−i3i3−i30000−2i2i−2i2i00000000ii−i−iii−i−i00003−33−30000000000
χ512-2-2222-2-2-2222-22-2-22-2-22-2-22222-2-22-2-22-2-222-22-22-2-222-2200-2200000000000000000000000000000000000000000000000000002-22-200
χ522-2-2222-2-2-2222-22-2-22-2-22-2-22222-2-22-2-22-2-222-22-22-2-222-2200-220000000000000000000000000000000000000000000000000000-22-2200
χ532-2-22-2-2222-222-22-2-22-2-2222-2-2-2-222222-2-2-22-2-22-2222-2-22-200-2200000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ542-2-22-2-2222-222-22-2-22-2-2222-2-2-2-222222-2-2-22-2-22-2222-2-22-200-220000000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ552-2-22-2-222-22222-2-2-22-2-2222-2-2-2-2222-2-22-2-2222-22-222-2-2-22002-2000000000000000000002-2-220000000022-2-2-2-222000000000000000000
χ562-2-22-2-222-22222-2-2-22-2-2222-2-2-2-2222-2-22-2-2222-22-222-2-2-22002-200000000000000000000-222-200000000-2-22222-2-2000000000000000000
χ572-2-22-2-222-22-122-2-2-2-1112-1-111-2-222-11-2211-1-1-112-2-1-1111-100-113−300−33003−33−3−33−3300002-2-2200000000-1-11111-1-10000−333−30000000000
χ582-2-22-2-222-22-122-2-2-2-1112-1-111-2-222-11-2211-1-1-112-2-1-1111-100-113−300−33003−33−3−33−330000-222-20000000011-1-1-1-11100003−3−330000000000
χ592-2-22-2-222-22-122-2-2-2-1112-1-111-2-222-11-2211-1-1-112-2-1-1111-100-11−33003−300−33−333−33−300002-2-2200000000-1-11111-1-100003−3−330000000000
χ602-2-22-2-222-22-122-2-2-2-1112-1-111-2-222-11-2211-1-1-112-2-1-1111-100-11−33003−300−33−333−33−30000-222-20000000011-1-1-1-1110000−333−30000000000
χ614444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-21111114411-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000000000
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χ694444-4-4-4-4-4-4-2-244-2-2-2-2-2-22222222212221112-2-2-2-2-1-1-1-1-1-14i−4i11−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−i000000000000000000000000000000000000000000
χ704444-4-4-4-4-4-4-2-244-2-2-2-2-2-22222222212221112-2-2-2-2-1-1-1-1-1-1−4i4i112i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii000000000000000000000000000000000000000000
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χ7644-4-4−4i4i−4i4i0044004-4-44-4-4−4i4i−4i4i−4i4i−4i4i40004-4-400000−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.