Finite Group Databasebeta

← Group #11788141

Character table — Group #11788141

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order122222223344446666666666666636666666888812121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422444444666612121212121212121212121222448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911-1-11-1-111111-1-11-1-1-111-1-1-1111-1-1111-1-1-1-11ii−i−i1111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-1i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i1-11-1ii−i−i
χ1011-1-11-1-111111-1-11-1-1-111-1-1-1111-1-1111-1-1-1-11ii−i−i1111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-1i−i-11−ii11-1-1ii−i−i-1-111−i−iii-11-11−i−iii
χ1111-1-11-1-111111-1-11-1-1-111-1-1-1111-1-1111-1-1-1-11ii−i−i1111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11−ii1-1i−i-1-111−i−iii11-1-1ii−i−i-11-11−i−iii
χ1211-1-11-1-111111-1-11-1-1-111-1-1-1111-1-1111-1-1-1-11ii−i−i1111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11−ii-11−ii-1-111−i−iii-1-111−i−iii1-11-1ii−i−i
χ1311-1-11-1-111111-1-11-1-1-111-1-1-1111-1-1111-1-1-1-11−i−iii1111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-1−ii1-1−ii11-1-1−i−iii11-1-1−i−iii1-11-1−i−iii
χ1411-1-11-1-111111-1-11-1-1-111-1-1-1111-1-1111-1-1-1-11−i−iii1111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-1−ii-11i−i11-1-1−i−iii-1-111ii−i−i-11-11ii−i−i
χ1511-1-11-1-111111-1-11-1-1-111-1-1-1111-1-1111-1-1-1-11−i−iii1111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-11i−i1-1−ii-1-111ii−i−i11-1-1−i−iii-11-11ii−i−i
χ1611-1-11-1-111111-1-11-1-1-111-1-1-1111-1-1111-1-1-1-11−i−iii1111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-11i−i-11i−i-1-111ii−i−i-1-111ii−i−i1-11-1−i−iii
χ172222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000022-2-20000
χ182222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000-2-2220000
χ19222222222-122222222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1222222-1-12-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000
χ20222222222-122222222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1222222-1-12-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000000
χ21222222222-122222222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-222-1-12-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111122-2-20000-1-1-1-111110000000000000000
χ22222222222-122222222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-222-1-12-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-22200001111-1-1-1-10000000000000000
χ2322222222-122222-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-12222-1-122-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000000
χ2422222222-122222-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-12222-1-122-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100000000
χ2522222222-122222-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-1-122-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111000022-2-200000000-1-1-1-1111100000000
χ2622222222-122222-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-1-122-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-2-222000000001111-1-1-1-100000000
χ2722-2-22-2-2222-2-2222-2-2-222-2-2-2222-2-2222-2-2-2-220000-2-2-2-222-2-2-2-2222222000000000000000000000000000000000000000000000000000000002-2-220000
χ2822-2-22-2-2222-2-2222-2-2-222-2-2-2222-2-2222-2-2-2-220000-2-2-2-222-2-2-2-222222200000000000000000000000000000000000000000000000000000000-222-20000
χ2922-2-22-2-222-122-2-22-2-2-2-1-11112-12-21-1-1-11111-12i2i−2i−2i22-1-1-21-1-1-1-111-21112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii2-22i−2i0000-1-111−i−iii0000000000000000
χ3022-2-22-2-222-122-2-22-2-2-2-1-11112-12-21-1-1-11111-12i2i−2i−2i22-1-1-21-1-1-1-111-21112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii-22−2i2i000011-1-1ii−i−i0000000000000000
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χ3222-2-22-2-222-122-2-22-2-2-2-1-11112-12-21-1-1-11111-1−2i−2i2i2i22-1-1-21-1-1-1-111-2111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i-222i−2i000011-1-1−i−iii0000000000000000
χ3322-2-22-2-22-1222-2-2-111122-2-2-2-12-11-2-1-1-11111-12i2i−2i−2i-1-1221-2-1-1-1-1111-211−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii00002-22i−2i00000000-1-111−i−iii00000000
χ3422-2-22-2-22-1222-2-2-111122-2-2-2-12-11-2-1-1-11111-12i2i−2i−2i-1-1221-2-1-1-1-1111-211−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii0000-22−2i2i0000000011-1-1ii−i−i00000000
χ3522-2-22-2-22-1222-2-2-111122-2-2-2-12-11-2-1-1-11111-1−2i−2i2i2i-1-1221-2-1-1-1-1111-211iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i00002-2−2i2i00000000-1-111ii−i−i00000000
χ3622-2-22-2-22-1222-2-2-111122-2-2-2-12-11-2-1-1-11111-1−2i−2i2i2i-1-1221-2-1-1-1-1111-211iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i0000-222i−2i0000000011-1-1−i−iii00000000
χ372-22-2-22-22222-22-2-222-2-2-22-2-222-2-222-2-222-2-2200002-22-22222-2-222-2-2-2-20000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ382-22-2-22-22222-22-2-222-2-2-22-2-222-2-222-2-222-2-2200002-22-22222-2-222-2-2-2-2000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ392-22-2-22-2222-22-22-222-2-2-22-2-222-2-222-2-222-2-222-22-2-22-22-2-2-2-222-2-2222222-2-222-2-22222-2-2-2-222-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ402-22-2-22-2222-22-22-222-2-2-22-2-222-2-222-2-222-2-22-22-22-22-22-2-2-2-222-2-22222-2-222-2-222-2-2-2-22222-2-222-2-222-2-2-2-2222200000000000000000000000000000000
χ412-22-2-22-222-1-22-22-222-211-1112-1-2-2-1-111-1-111-12-22-2-221-1-2111-1-1112-1-1-122-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-1111100000000−i3i3−i3i3−i3i3−i3i30000000000000000
χ422-22-2-22-222-1-22-22-222-211-1112-1-2-2-1-111-1-111-12-22-2-221-1-2111-1-1112-1-1-122-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-1111100000000i3−i3i3−i3i3−i3i3−i30000000000000000
χ432-22-2-22-222-1-22-22-222-211-1112-1-2-2-1-111-1-111-1-22-22-221-1-2111-1-1112-1-1-1-2-22211-1-11111-1-1-1-1-2-22211-1-11111-1-1-1-100000000−i3i3−i3i3i3−i3i3−i30000000000000000
χ442-22-2-22-222-1-22-22-222-211-1112-1-2-2-1-111-1-111-1-22-22-221-1-2111-1-1112-1-1-1-2-22211-1-11111-1-1-1-1-2-22211-1-11111-1-1-1-100000000i3−i3i3−i3−i3i3−i3i30000000000000000
χ452-22-2-22-22-12-22-221-1-11-2-22-2-2-12112-111-1-111-12-22-21-1-221-211-1-111-12-1-1-1-11122-2-2-1-1-1-11111-1-11122-2-2-1-1-1-1111100000000000000003−33−33−33−300000000
χ462-22-2-22-22-12-22-221-1-11-2-22-2-2-12112-111-1-111-12-22-21-1-221-211-1-111-12-1-1-1-11122-2-2-1-1-1-11111-1-11122-2-2-1-1-1-111110000000000000000−33−33−33−3300000000
χ472-22-2-22-22-12-22-221-1-11-2-22-2-2-12112-111-1-111-1-22-221-1-221-211-1-111-12-1-111-1-1-2-2221111-1-1-1-111-1-1-2-2221111-1-1-1-100000000000000003−33−3−33−3300000000
χ482-22-2-22-22-12-22-221-1-11-2-22-2-2-12112-111-1-111-1-22-221-1-221-211-1-111-12-1-111-1-1-2-2221111-1-1-1-111-1-1-2-2221111-1-1-1-10000000000000000−33−333−33−300000000
χ492-2-22-2-222222-2-22-2-2-22-2-2-22222-22-22-2-2-2-222200002-22-2-2-222-2-2-2-222220000000000000000000000000000000000000000000000000000000000002-2-22
χ502-2-22-2-222222-2-22-2-2-22-2-2-22222-22-22-2-2-2-222200002-22-2-2-222-2-2-2-22222000000000000000000000000000000000000000000000000000000000000-222-2
χ512-2-22-2-22222-222-2-2-2-22-2-2-22222-22-22-2-2-2-22222i−2i−2i2i-22-2222-2-22222-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ522-2-22-2-22222-222-2-2-2-22-2-2-22222-22-22-2-2-2-2222−2i2i2i−2i-22-2222-2-22222-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
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χ582-2-22-2-222-12-222-2111-1-2-2-222-121-1-2-11111-1-1-12i−2i−2i2i1-1-22-1211-1-1-1-11-211−i−iii2i2i−2i−2i−i−i−i−iiiiiii−i−i−2i−2i2i2iiiii−i−i−i−i0000000000000000−333−3−i3i3i3−i300000000
χ592-2-22-2-222-12-222-2111-1-2-2-222-121-1-2-11111-1-1-1−2i2i2i−2i1-1-22-1211-1-1-1-11-211ii−i−i−2i−2i2i2iiiii−i−i−i−i−i−iii2i2i−2i−2i−i−i−i−iiiii00000000000000003−3−33−i3i3i3−i300000000
χ602-2-22-2-222-12-222-2111-1-2-2-222-121-1-2-11111-1-1-1−2i2i2i−2i1-1-22-1211-1-1-1-11-211ii−i−i−2i−2i2i2iiiii−i−i−i−i−i−iii2i2i−2i−2i−i−i−i−iiiii0000000000000000−333−3i3−i3−i3i300000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.