Finite Group Databasebeta

← Group #11819065

Character table — Group #11819065

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order12222222334444666666666666662234466666661212121212121212666666661212121212121212121212124444444412121212121212121212121212121212444444441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-11111
χ71111111111111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-1-1-11111
χ81111111111111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-11111-1-11111-1-1
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111-1-1-1-1111111-1-1
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-111
χ131111111111-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1
χ141111111111-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-1-1-11111-1-111
χ151111111111-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-1-11111-1-111-1-111
χ161111111111-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-111-1-1
χ17222222222-1222222-1-122-1-122-1-12-122-122-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1002200220000-1-1-1-10000-1-1-1-10000020200-1-100-1-1000000
χ18222222222-1222222-1-122-1-122-1-12-122-122-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100-2-200-2-2000011110000111100000-20-200110011000000
χ19222222222-1222222-1-122-1-122-1-12-1-2-2-1-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2111111-2-211-1-1-1-11111002200220000-1-1-1-10000-1-1-1-100000-20-200110011000000
χ20222222222-1222222-1-122-1-122-1-12-1-2-2-1-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2111111-2-211-1-1-1-1111100-2-200-2-200001111000011110000020200-1-100-1-1000000
χ21222222222-1-2-2-2-222-1-122-1-122-1-12-122-1-2-2-1-1-1-1-1-1-1-2-2-2-2111122-1-1-1-1-1-1-2-21111111111002200-2-20000-1-1-1-1000011110000020-2001100-1-1000000
χ22222222222-1-2-2-2-222-1-122-1-122-1-12-122-1-2-2-1-1-1-1-1-1-1-2-2-2-2111122-1-1-1-1-1-1-2-2111111111100-2-20022000011110000-1-1-1-100000-20200-1-10011000000
χ23222222222-1-2-2-2-222-1-122-1-122-1-12-1-2-2-122-1-1-1-1-1-1-1-2-2-2-21111-2-211111122-1-11111-1-1-1-1002200-2-20000-1-1-1-10000111100000-20200-1-10011000000
χ24222222222-1-2-2-2-222-1-122-1-122-1-12-1-2-2-122-1-1-1-1-1-1-1-2-2-2-21111-2-211111122-1-11111-1-1-1-100-2-20022000011110000-1-1-1-10000020-2001100-1-1000000
χ2522222222-122222-1-122-1-122-1-122-1222-122-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122002200-1-1-1-10000-1-1-1-1000000002020-1-100-1-100000000
χ2622222222-122222-1-122-1-122-1-122-1222-122-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-200-2-20011110000111100000000-20-2011001100000000
χ2722222222-122222-1-122-1-122-1-122-12-2-2-1-2-2-1-1-1-1-1-1-1-1-1-1-1222211-2-2111111-2-2-1-1-1-1111122002200-1-1-1-10000-1-1-1-100000000-20-2011001100000000
χ2822222222-122222-1-122-1-122-1-122-12-2-2-1-2-2-1-1-1-1-1-1-1-1-1-1-1222211-2-2111111-2-2-1-1-1-11111-2-200-2-200111100001111000000002020-1-100-1-100000000
χ2922222222-12-2-2-2-2-1-122-1-122-1-122-1222-1-2-2-1-1-1-1-1-1-11111-2-2-2-2-1-122-1-1-1-111-2-2111111112200-2-200-1-1-1-1000011110000000020-201100-1-100000000
χ3022222222-12-2-2-2-2-1-122-1-122-1-122-1222-1-2-2-1-1-1-1-1-1-11111-2-2-2-2-1-122-1-1-1-111-2-211111111-2-200220011110000-1-1-1-100000000-2020-1-1001100000000
χ3122222222-12-2-2-2-2-1-122-1-122-1-122-12-2-2-122-1-1-1-1-1-1-11111-2-2-2-211-2-21111-1-1221111-1-1-1-12200-2-200-1-1-1-10000111100000000-2020-1-1001100000000
χ3222222222-12-2-2-2-2-1-122-1-122-1-122-12-2-2-122-1-1-1-1-1-1-11111-2-2-2-211-2-21111-1-1221111-1-1-1-1-2-200220011110000-1-1-1-10000000020-201100-1-100000000
χ332222-2-2-2-22222-2-22-22-22222-2-2-2-2-2-22-222-22-2-2-2-22222-2-222-2-22-22-222-2-22-22-222-2-222-2-20000000000000000000000000000000000000000000000
χ342222-2-2-2-22222-2-22-22-22222-2-2-2-2-2-2-222-222-2-2-2-22222-2-222-2-2-22-22-2-222-22-2222-2-2-2-2220000000000000000000000000000000000000000000000
χ352222-2-2-2-222-2-2222-22-22222-2-2-2-2-2-22-22-222-2-2-2-222-2-222-2-2222-22-222-2-2-22-22-2-222-2-2220000000000000000000000000000000000000000000000
χ362222-2-2-2-222-2-2222-22-22222-2-2-2-2-2-2-2222-22-2-2-2-222-2-222-2-222-22-22-2-2222-22-2-2-22222-2-20000000000000000000000000000000000000000000000
χ372222-2-2-2-22-122-2-22-2-1122-1-1-2-211-212-2-12-2-11111-1-122-2-2-1-1112-2-11-1-1112-2-11-1-111-1-11100000000000033−3−3000033−3−300000000003−3003−3000000
χ382222-2-2-2-22-122-2-22-2-1122-1-1-2-211-212-2-12-2-11111-1-122-2-2-1-1112-2-11-1-1112-2-11-1-111-1-111000000000000−3−3330000−3−3330000000000−3300−33000000
χ392222-2-2-2-22-122-2-22-2-1122-1-1-2-211-21-22-1-22-11111-1-122-2-2-1-111-221-111-1-1-221-1-1-11111-1-100000000000033−3−3000033−3−30000000000−3300−33000000
χ402222-2-2-2-22-122-2-22-2-1122-1-1-2-211-21-22-1-22-11111-1-122-2-2-1-111-221-111-1-1-221-1-1-11111-1-1000000000000−3−3330000−3−33300000000003−3003−3000000
χ412222-2-2-2-22-1-2-2222-2-1122-1-1-2-211-212-2-1-22-11111-1-1-2-22211-1-12-2-11-1-111-221-111-1-111-1-100000000000033−3−30000−3−3330000000000−33003−3000000
χ422222-2-2-2-22-1-2-2222-2-1122-1-1-2-211-212-2-1-22-11111-1-1-2-22211-1-12-2-11-1-111-221-111-1-111-1-1000000000000−3−333000033−3−300000000003−300−33000000
χ432222-2-2-2-22-1-2-2222-2-1122-1-1-2-211-21-22-12-2-11111-1-1-2-22211-1-1-221-111-1-12-2-1111-1-1-1-11100000000000033−3−30000−3−33300000000003−300−33000000
χ442222-2-2-2-22-1-2-2222-2-1122-1-1-2-211-21-22-12-2-11111-1-1-2-22211-1-1-221-111-1-12-2-1111-1-1-1-111000000000000−3−333000033−3−30000000000−33003−3000000
χ452222-2-2-2-2-1222-2-2-112-2-1-12211-2-21-22-2-12-2-11111-1-1-1-11122-2-2-112-2-1-111-112-2-1-111-1-1110000000033−3−3000033−3−30000000000003−3003−300000000
χ462222-2-2-2-2-1222-2-2-112-2-1-12211-2-21-22-2-12-2-11111-1-1-1-11122-2-2-112-2-1-111-112-2-1-111-1-11100000000−3−3330000−3−333000000000000−3300−3300000000
χ472222-2-2-2-2-1222-2-2-112-2-1-12211-2-21-2-22-1-22-11111-1-1-1-11122-2-21-1-2211-1-11-1-22-1-11111-1-10000000033−3−3000033−3−3000000000000−3300−3300000000
χ482222-2-2-2-2-1222-2-2-112-2-1-12211-2-21-2-22-1-22-11111-1-1-1-11122-2-21-1-2211-1-11-1-22-1-11111-1-100000000−3−3330000−3−3330000000000003−3003−300000000
χ492222-2-2-2-2-12-2-222-112-2-1-12211-2-21-22-2-1-22-11111-1-111-1-1-2-222-112-2-1-1111-1-2211-1-111-1-10000000033−3−30000−3−333000000000000−33003−300000000
χ502222-2-2-2-2-12-2-222-112-2-1-12211-2-21-22-2-1-22-11111-1-111-1-1-2-222-112-2-1-1111-1-2211-1-111-1-100000000−3−333000033−3−30000000000003−300−3300000000
χ512222-2-2-2-2-12-2-222-112-2-1-12211-2-21-2-22-12-2-11111-1-111-1-1-2-2221-1-2211-1-1-112-211-1-1-1-1110000000033−3−30000−3−3330000000000003−300−3300000000
χ522222-2-2-2-2-12-2-222-112-2-1-12211-2-21-2-22-12-2-11111-1-111-1-1-2-2221-1-2211-1-1-112-211-1-1-1-11100000000−3−333000033−3−3000000000000−33003−300000000
χ5322-2-22-2-22222i−2i2i−2i2-22-2-2-2-2-22222-2-200200222-2-2-2-22i−2i2i−2i2i−2i2i−2i0000000000002i−2i2i−2i000000000000000000000000000022-2-20000000000002i−2i0000
χ5422-2-22-2-22222i−2i2i−2i2-22-2-2-2-2-22222-2-200200222-2-2-2-22i−2i2i−2i2i−2i2i−2i0000000000002i−2i2i−2i0000000000000000000000000000-2-222000000000000−2i2i0000
χ5522-2-22-2-2222−2i2i−2i2i2-22-2-2-2-2-22222-2-200200222-2-2-2-2−2i2i−2i2i−2i2i−2i2i000000000000−2i2i−2i2i000000000000000000000000000022-2-2000000000000−2i2i0000
χ5622-2-22-2-2222−2i2i−2i2i2-22-2-2-2-2-22222-2-200200222-2-2-2-2−2i2i−2i2i−2i2i−2i2i000000000000−2i2i−2i2i0000000000000000000000000000-2-2220000000000002i−2i0000
χ5722-2-2-222-2222i−2i−2i2i2222-2-2-2-2-2-2-2-222002002-2-222-2-22i−2i−2i2i2i−2i−2i2i0000000000002i−2i−2i2i00000000000000000000000000000000000000000000002-22i−2i
χ5822-2-2-222-2222i−2i−2i2i2222-2-2-2-2-2-2-2-222002002-2-222-2-22i−2i−2i2i2i−2i−2i2i0000000000002i−2i−2i2i0000000000000000000000000000000000000000000000-22−2i2i
χ5922-2-2-222-222−2i2i2i−2i2222-2-2-2-2-2-2-2-222002002-2-222-2-2−2i2i2i−2i−2i2i2i−2i000000000000−2i2i2i−2i00000000000000000000000000000000000000000000002-2−2i2i
χ6022-2-2-222-222−2i2i2i−2i2222-2-2-2-2-2-2-2-222002002-2-222-2-2−2i2i2i−2i−2i2i2i−2i000000000000−2i2i2i−2i0000000000000000000000000000000000000000000000-222i−2i
χ612-22-2-22-22220000-22-222-22-22-22-2-2-200200-22-22-22-200000000000000000000000000002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i000000002-22-2000000000000000000
χ622-22-2-22-22220000-22-222-22-22-22-2-2-200200-22-22-22-200000000000000000000000000002i−2i−2i2i00002i−2i2i−2i−2i2i−2i2i00000000-22-22000000000000000000
χ632-22-2-22-22220000-22-222-22-22-22-2-2-200200-22-22-22-20000000000000000000000000000−2i2i2i−2i0000−2i2i−2i2i2i−2i2i−2i00000000-22-22000000000000000000
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χ7944-4-44-4-44-244i−4i4i−4i-224-422-4-4-2-2442-400-200-2-2-22222−2i2i−2i2i4i−4i4i−4i000000000000−2i2i−2i2i00000000000000000000000000000000000000000000000000
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χ8344-4-44-4-44-2-2−4i4i−4i4i-22-222222-2-2-2-22200100111-1-1-1-12i−2i2i−2i2i−2i2i−2i00003-33-30000−ii−ii−3i3i−3i3i0000000000000000000000000000000000000000000000
χ8444-4-44-4-44-2-2−4i4i−4i4i-22-222222-2-2-2-22200100111-1-1-1-12i−2i2i−2i2i−2i2i−2i0000-33-330000−ii−ii3i−3i3i−3i0000000000000000000000000000000000000000000000
χ8544-4-4-444-44-24i−4i−4i4i44-2-2-4-422-4-4224-200-200-222-2-2224i−4i−4i4i−2i2i2i−2i000000000000−2i2i2i−2i00000000000000000000000000000000000000000000000000
χ8644-4-4-444-44-2−4i4i4i−4i44-2-2-4-422-4-4224-200-200-222-2-222−4i4i4i−4i2i−2i−2i2i0000000000002i−2i−2i2i00000000000000000000000000000000000000000000000000
χ8744-4-4-444-4-244i−4i−4i4i-2-24422-4-422-4-4-2400-200-222-2-222−2i2i2i−2i4i−4i−4i4i000000000000−2i2i2i−2i00000000000000000000000000000000000000000000000000
χ8844-4-4-444-4-24−4i4i4i−4i-2-24422-4-422-4-4-2400-200-222-2-2222i−2i−2i2i−4i4i4i−4i0000000000002i−2i−2i2i00000000000000000000000000000000000000000000000000
χ8944-4-4-444-4-2-24i−4i−4i4i-2-2-2-222222222-2-2001001-1-111-1-1−2i2i2i−2i−2i2i2i−2i00003-3-330000i−i−ii3i−3i−3i3i0000000000000000000000000000000000000000000000
χ9044-4-4-444-4-2-24i−4i−4i4i-2-2-2-222222222-2-2001001-1-111-1-1−2i2i2i−2i−2i2i2i−2i0000-333-30000i−i−ii−3i3i3i−3i0000000000000000000000000000000000000000000000
χ9144-4-4-444-4-2-2−4i4i4i−4i-2-2-2-222222222-2-2001001-1-111-1-12i−2i−2i2i2i−2i−2i2i00003-3-330000−iii−i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ9244-4-4-444-4-2-2−4i4i4i−4i-2-2-2-222222222-2-2001001-1-111-1-12i−2i−2i2i2i−2i−2i2i0000-333-30000−iii−i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ934-44-44-44-4440000-4-4-4-44-44-4-44-444400400-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ944-44-44-44-44-20000-4-4224-4-22-442-24-200-20022-22-2-220000000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ954-44-44-44-44-20000-4-4224-4-22-442-24-200-20022-22-2-2200000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ964-44-44-44-4-24000022-4-4-224-42-2-44-2400-20022-22-2-22000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000000000
χ974-44-44-44-4-24000022-4-4-224-42-2-44-2400-20022-22-2-220000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000000
χ984-44-4-44-444-20000-442-24-4-224-4-22-4200-2002-22-22-220000000000000000000000000000004i−4i00000000−2i2i−2i2i000000000000000000000000000000
χ994-44-4-44-444-20000-442-24-4-224-4-22-4200-2002-22-22-22000000000000000000000000000000−4i4i000000002i−2i2i−2i000000000000000000000000000000
χ1004-44-4-44-44-2400002-2-44-224-4-224-42-400-2002-22-22-2200000000000000000000000000004i−4i000000−2i2i−2i2i0000000000000000000000000000000000
χ1014-44-4-44-44-2400002-2-44-224-4-224-42-400-2002-22-22-220000000000000000000000000000−4i4i0000002i−2i2i−2i0000000000000000000000000000000000
χ1024-4-4444-4-4440000-44-44-44-44-44-44-4-400400-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-4444-4-44-20000-442-2-442-2-442-2-4200-20022-2-222-200000000000000000000000000000000000000000000000023−23−23230000000000000000000000
χ1044-4-4444-4-44-20000-442-2-442-2-442-2-4200-20022-2-222-2000000000000000000000000000000000000000000000000−232323−230000000000000000000000
χ1054-4-4444-4-4-2400002-2-442-2-442-2-442-400-20022-2-222-20000000000000000000000000000000000000000000023−23−232300000000000000000000000000
χ1064-4-4444-4-4-2400002-2-442-2-442-2-442-400-20022-2-222-200000000000000000000000000000000000000000000−232323−2300000000000000000000000000
χ1074-4-44-4-4444-20000-4-422-442-24-4-224-200-2002-222-22-200000000000000000000000000000000004-4000000000000-22-220000000000000000000000
χ1084-4-44-4-4444-20000-4-422-442-24-4-224-200-2002-222-22-20000000000000000000000000000000000-440000000000002-22-20000000000000000000000
χ1094-4-44-4-444-24000022-4-42-2-44-224-4-2400-2002-222-22-2000000000000000000000000000000004-40000000000-22-2200000000000000000000000000
χ1104-4-44-4-444-24000022-4-42-2-44-224-4-2400-2002-222-22-200000000000000000000000000000000-4400000000002-22-200000000000000000000000000
χ1118-88-88-88-8-4-400004444-44-444-44-4-4-400200-2-22-222-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-88-88-4-400004-44-4-44-44-44-444400200-22-22-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-8888-8-8-4-400004-44-44-44-44-44-44400200-2-222-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-8-888-4-4000044444-44-4-44-44-4-400200-22-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).