Finite Group Databasebeta

← Group #11791498

Character table — Group #11791498

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order122222223344446666666666666636666666121212121212121244442266666666666666661212121244444488881212121212121212242424242424242444121212121212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1
χ91-1-111-11-11111-1-111-1-1-1-1-1-1-1111-11111-1-1-1-1111-111-1-1-111-1-11-11111-1-1-1-11111-1-1-1-111-1-11-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i1-1ii−i−i11-1-1ii−i−iii−i−i
χ101-1-111-11-11111-1-111-1-1-1-1-1-1-1111-11111-1-1-1-1111-111-1-1-111-1-11-11111-1-1-1-11111-1-1-1-111-1-11-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−i−iii11-1-1−i−iii−i−iii
χ111-1-111-11-11111-1-111-1-1-1-1-1-1-1111-11111-1-1-1-1111-111-1-1-111-1-1-11-1-1-1-11111-1-1-1-1111111-1-11-1ii−i−i−i−iii1111-1-1-1-1−i−i−i−iiiii-11ii−i−i-1-111ii−i−i−i−iii
χ121-1-111-11-11111-1-111-1-1-1-1-1-1-1111-11111-1-1-1-1111-111-1-1-111-1-1-11-1-1-1-11111-1-1-1-1111111-1-11-1−i−iiiii−i−i1111-1-1-1-1iiii−i−i−i−i-11−i−iii-1-111−i−iiiii−i−i
χ131-1-111-11-11111-1-111-1-1-1-1-1-1-1111-11111-1-1-1-1111-111-1-1-1-1-1111-11111-1-1-1-11111-1-1-1-111-1-1-11ii−i−iii−i−i-1-1-1-11111iiii−i−i−i−i-11ii−i−i-1-111−i−iii−i−iii
χ141-1-111-11-11111-1-111-1-1-1-1-1-1-1111-11111-1-1-1-1111-111-1-1-1-1-1111-11111-1-1-1-11111-1-1-1-111-1-1-11−i−iii−i−iii-1-1-1-11111−i−i−i−iiiii-11−i−iii-1-111ii−i−iii−i−i
χ151-1-111-11-11111-1-111-1-1-1-1-1-1-1111-11111-1-1-1-1111-111-1-1-1-1-111-11-1-1-1-11111-1-1-1-1111111-1-1-11ii−i−i−i−iii-1-1-1-11111−i−i−i−iiiii1-1ii−i−i11-1-1−i−iiiii−i−i
χ161-1-111-11-11111-1-111-1-1-1-1-1-1-1111-11111-1-1-1-1111-111-1-1-1-1-111-11-1-1-1-11111-1-1-1-1111111-1-1-11−i−iiiii−i−i-1-1-1-11111iiii−i−i−i−i1-1−i−iii11-1-1ii−i−i−i−iii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-22222000000000000000000-2-2-2-2-2-20000000022-2-222-2-200000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000-2-2-2-22200000000-2-222-2-22200000000000000000000000000
χ19222222222-1222222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1222222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-1-1-100000000220000-1-1-1-100000000
χ20222222222-1222222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-122222-2-2-2-211-2-21111111111-1-1-1-12200000000-1-1-1-1-1-1-1-100000000-2-20000111100000000
χ21222222222-1222222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-22222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000001111111100000000-2-20000111100000000
χ22222222222-1222222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-2-2-211-2-21111111111-1-1-1-1-2-2000000001111111100000000220000-1-1-1-100000000
χ23222222222-1-2-2-2-222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-222220000−i3i300−i3i3−i3−i3i3i3−i3−i3i3i31111-2-200000000-1-111-1-11100000000000000−i3i3−i3i300000000
χ24222222222-1-2-2-2-222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-222220000i3−i300i3−i3i3i3−i3−i3i3i3−i3−i31111-2-200000000-1-111-1-11100000000000000i3−i3i3−i300000000
χ25222222222-1-2-2-2-222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-2-2-2-2-20000−i3i300−i3i3−i3−i3i3i3−i3−i3i3i31111220000000011-1-111-1-100000000000000i3−i3i3−i300000000
χ26222222222-1-2-2-2-222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-2-2-2-2-20000i3−i300i3−i3i3i3−i3−i3i3i3−i3−i31111220000000011-1-111-1-100000000000000−i3i3−i3i300000000
χ2722222222-122222-1-1-1-1-12222-122-12-1-1-1-1-1-1-1-1-1-1-12222-1000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1002222222200000000-1-1-1-1-1-1-1-100-1-1-1-1000000000000
χ2822222222-122222-1-1-1-1-12222-122-12-1-1-1-1-1-1-1-1-1-1-12222-1000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-2-2-20000000011111111001111000000000000
χ2922222222-122222-1-1-1-1-12222-122-12-1-1-1-1-1-1-1-1-1-1-12222-10000-2-211-2-211-2-211111111-1-1-1-1002222-2-2-2-2000000001111111100-1-1-1-1000000000000
χ3022222222-122222-1-1-1-1-12222-122-12-1-1-1-1-1-1-1-1-1-1-12222-10000-2-211-2-211-2-211111111-1-1-1-100-2-2-2-2222200000000-1-1-1-1-1-1-1-1001111000000000000
χ3122-22-22-2-22200002-22-2-222-2-2-22-22-222-222-2-2-2000000002i−2i2i−2i00000000000000000000000000002−22−22i−2i002i−2i0022−2−222−2−200000000000000−i2i2−i2i2
χ3222-22-22-2-22200002-22-2-222-2-2-22-22-222-222-2-2-2000000002i−2i2i−2i0000000000000000000000000000−22−222i−2i002i−2i00−2−222−2−22200000000000000i2−i2i2−i2
χ3322-22-22-2-22200002-22-2-222-2-2-22-22-222-222-2-2-200000000−2i2i−2i2i00000000000000000000000000002−22−2−2i2i00−2i2i0022−2−222−2−200000000000000i2−i2i2−i2
χ3422-22-22-2-22200002-22-2-222-2-2-22-22-222-222-2-2-200000000−2i2i−2i2i0000000000000000000000000000−22−22−2i2i00−2i2i00−2−222−2−22200000000000000−i2i2−i2i2
χ3522-2-2-2-222222-22-2-2-222-22-22-22-2-2-222-2-22-22-222-222-22-2-200000000000000000000002-22-2002i−2i2i−2i00000000000000000000002i−2i2i−2i000000000000
χ3622-2-2-2-222222-22-2-2-222-22-22-22-2-2-222-2-22-22-222-222-22-2-200000000000000000000002-22-200−2i2i−2i2i0000000000000000000000−2i2i−2i2i000000000000
χ3722-2-2-2-22222-22-22-2-222-22-22-22-2-2-222-2-22-22-22-22-2-22-2220000000000000000000000-22-220000000000000000000000000000000000002-22-20000
χ3822-2-2-2-22222-22-22-2-222-22-22-22-2-2-222-2-22-22-22-22-2-22-2220000000000000000000000-22-22000000000000000000000000000000000000-22-220000
χ3922-2-2-2-222-122-22-211-1-112-22-2-1-2-212-111-11-11-1-11-12-22-21000000−i3i300−i3i300−i3i3−i3i3−i3i3−i3i3-11-11002i−2i2i−2i0000000000003−33−33−33−300−ii−ii000000000000
χ4022-2-2-2-222-122-22-211-1-112-22-2-1-2-212-111-11-11-1-11-12-22-21000000−i3i300−i3i300−i3i3−i3i3−i3i3−i3i3-11-1100−2i2i−2i2i000000000000−33−33−33−3300i−ii−i000000000000
χ4122-2-2-2-222-122-22-211-1-112-22-2-1-2-212-111-11-11-1-11-12-22-21000000i3−i300i3−i300i3−i3i3−i3i3−i3i3−i3-11-11002i−2i2i−2i000000000000−33−33−33−3300−ii−ii000000000000
χ4222-2-2-2-222-122-22-211-1-112-22-2-1-2-212-111-11-11-1-11-12-22-21000000i3−i300i3−i300i3−i3i3−i3i3−i3i3−i3-11-1100−2i2i−2i2i0000000000003−33−33−33−300i−ii−i000000000000
χ432-222-2-2-222200002-2-222-2-222-22-2-2-222-2-2-222-2000000002i−2i−2i2i0000000000000000000000000000−i2i2i2−i22i−2i00−2i2i00−i2−i2i2i2i2i2−i2−i200000000000000−222−2
χ442-222-2-2-222200002-2-222-2-222-22-2-2-222-2-2-222-2000000002i−2i−2i2i0000000000000000000000000000i2−i2−i2i22i−2i00−2i2i00i2i2−i2−i2−i2−i2i2i2000000000000002−2−22
χ452-222-2-2-222200002-2-222-2-222-22-2-2-222-2-2-222-200000000−2i2i2i−2i0000000000000000000000000000−i2i2i2−i2−2i2i002i−2i00−i2−i2i2i2i2i2−i2−i2000000000000002−2−22
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χ472-22-2-222-2222-2-22-2-2-2-22-22-222-2-2222-2-2-22-2222-2-22-2-22200000000000000000000002-2-22002-2-2200000000000000000000002-2-22000000000000
χ482-22-2-222-2222-2-22-2-2-2-22-22-222-2-2222-2-2-22-2222-2-22-2-22200000000000000000000002-2-2200-222-20000000000000000000000-222-2000000000000
χ492-22-2-222-222-222-2-2-2-2-22-22-222-2-2222-2-2-22-222-222-222-2-20000000000000000000000-222-20000000000000000000000000000000000002i−2i−2i2i0000
χ502-22-2-222-222-222-2-2-2-2-22-22-222-2-2222-2-2-22-222-222-222-2-20000000000000000000000-222-2000000000000000000000000000000000000−2i2i2i−2i0000
χ512-22-2-222-2-122-2-221111-1-22-22-1-2-2-12-1111-11-1-1-1112-2-22-1000000−i3i300i3−i300−i3i3−i3i3i3−i3i3−i3-111-1002-2-22000000000000−i3i3−i3i3i3−i3i3−i300-111-1000000000000
χ522-22-2-222-2-122-2-221111-1-22-22-1-2-2-12-1111-11-1-1-1112-2-22-1000000−i3i300i3−i300−i3i3−i3i3i3−i3i3−i3-111-100-222-2000000000000i3−i3i3−i3−i3i3−i3i3001-1-11000000000000
χ532-22-2-222-2-122-2-221111-1-22-22-1-2-2-12-1111-11-1-1-1112-2-22-1000000i3−i300−i3i300i3−i3i3−i3−i3i3−i3i3-111-1002-2-22000000000000i3−i3i3−i3−i3i3−i3i300-111-1000000000000
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χ562-2-222-22-222-2-22222-2-2-2-2-2-2-2222-22222-2-2-2-22-2-22-2-2222-2-222000000000000000000-2-2222-200000000-2-22222-2-200000000000000000000000000
χ572-2-222-22-22-122-2-222-2-2-211112-1-1-2-1-1-1-11111-122-2-1-111-222-2-22-222-1-1-2-211-1-1-1-11111-1-1112-200000000-1-1-1-11111000000002-20000-1-11100000000
χ582-2-222-22-22-122-2-222-2-2-211112-1-1-2-1-1-1-11111-122-2-1-111-222-2-2-22-2-21122-1-11111-1-1-1-1-1-1112-200000000-1-1-1-1111100000000-22000011-1-100000000
χ592-2-222-22-22-122-2-222-2-2-211112-1-1-2-1-1-1-11111-122-2-1-111-2-2-2222-222-1-1-2-211-1-1-1-11111-1-111-22000000001111-1-1-1-100000000-22000011-1-100000000
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χ612-2-222-22-22-1-2-22222-2-2-211112-1-1-2-1-1-1-11111-1-2-2211-1-1222-2-20000−i3i300i3−i3−i3−i3i3i3i3i3−i3−i311-1-1-2200000000-1-11111-1-100000000000000−i3i3i3−i300000000
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χ672-2-222-22-2-1222-2-2-1-1111-2-2-2-2-12212-1-1-11111-1-1-1122-2-210000-2211-2-2-1-1221111-1-1-1-1-1-111002i2i−2i−2i−2i−2i2i2i00000000iiii−i−i−i−i00−i−iii000000000000
χ682-2-222-22-2-1222-2-2-1-1111-2-2-2-2-12212-1-1-11111-1-1-1122-2-210000-2211-2-2-1-1221111-1-1-1-1-1-11100−2i−2i2i2i2i2i−2i−2i00000000−i−i−i−iiiii00ii−i−i000000000000
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χ7344444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111122222222000000002i3−2i3002i3−2i3−i3−i3i3i3−i3−i3i3i3-1-1-1-100000000000000000000000000000000000000000000
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χ8444-4-4-4-4444-2-44-44-4-444-4-22-22422-4-2-222-22-22-2-44-42-22-2400000000000000000000002-22-200000000000000000000000000000000000000000000
χ8544-4-4-4-444-24-44-4422-2-224-44-4-2-4-424-222-22-22-22-22-44-44-200000000000000000000002-22-200000000000000000000000000000000000000000000
χ8644-4-4-4-444-2-24-44-422-2-22-22-22-2222-21-1-11-11-11-22-2-22-222000000−2i32i300−2i32i300i3−i3i3−i3i3−i3i3−i31-11-100000000000000000000000000000000000000000000
χ8744-4-4-4-444-2-24-44-422-2-22-22-22-2222-21-1-11-11-11-22-2-22-2220000002i3−2i3002i3−2i300−i3i3−i3i3−i3i3−i3i31-11-100000000000000000000000000000000000000000000
χ8844-4-4-4-444-2-2-44-4422-2-22-22-22-2222-21-1-11-11-112-222-22-2-2000000000000003-3-333-3-33-11-1100000000000000000000000000000000000000000000
χ8944-4-4-4-444-2-2-44-4422-2-22-22-22-2222-21-1-11-11-112-222-22-2-200000000000000-333-3-333-3-11-1100000000000000000000000000000000000000000000
χ904-444-4-4-444-200004-4-44422-2-2-4-22-42-2-2222-2-22000000004i−4i−4i4i00000000000000000000000000000000−2i2i002i−2i0000000000000000000000000000
χ914-444-4-4-444-200004-4-44422-2-2-4-22-42-2-2222-2-2200000000−4i4i4i−4i000000000000000000000000000000002i−2i00−2i2i0000000000000000000000000000
χ924-444-4-4-44-240000-222-2-2-4-44424-42-4-2-2222-2-220000000000000000000000000000000000000000−2i22i22i2−2i200000000i2i2−i2−i2−i2−i2i2i2000000000000000000
χ934-444-4-4-44-240000-222-2-2-4-44424-42-4-2-2222-2-2200000000000000000000000000000000000000002i2−2i2−2i22i200000000−i2−i2i2i2i2i2−i2−i2000000000000000000
χ944-44-4-444-44-24-4-44-4-4-4-442-22-24224-2-2222-22-2-24-4-4-222-240000000000000000000000-222-200000000000000000000000000000000000000000000
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χ964-44-4-444-4-24-444-42222-2-44-44-2-4-4-24-2222-22-2-22-2-2-444-4200000000000000000000002-2-2200000000000000000000000000000000000000000000
χ974-44-4-444-4-2-24-4-442222-22-22-2-222-2-21-1-1-11-111-222-222-2-2000000−2i32i3002i3−2i300i3−i3i3−i3−i3i3−i3i31-1-1100000000000000000000000000000000000000000000
χ984-44-4-444-4-2-24-4-442222-22-22-2-222-2-21-1-1-11-111-222-222-2-20000002i3−2i300−2i32i300−i3i3−i3i3i3−i3i3−i31-1-1100000000000000000000000000000000000000000000
χ994-44-4-444-4-2-2-444-42222-22-22-2-222-2-21-1-1-11-1112-2-22-2-222000000000000003-3-33-333-3-111-100000000000000000000000000000000000000000000
χ1004-44-4-444-4-2-2-444-42222-22-22-2-222-2-21-1-1-11-1112-2-22-2-22200000000000000-333-33-3-33-111-100000000000000000000000000000000000000000000
χ1014-4-444-44-4-24-4-444-2-2222-4-4-4-4-24424-2-2-22222-222-2-4-444-2000000000000000000000022-2-200000000000000000000000000000000000000000000
χ1024-4-444-44-4-2-244-4-4-2-22222222-2-2-22-2111-1-1-1-11-2-22-2-222200004-4-2-2-2-222221111-1-1-1-111-1-100000000000000000000000000000000000000000000
χ1034-4-444-44-4-2-244-4-4-2-22222222-2-2-22-2111-1-1-1-11-2-22-2-22220000-442222-2-2-2-2-1-1-1-1111111-1-100000000000000000000000000000000000000000000
χ1044-4-444-44-4-2-2-4-444-2-22222222-2-2-22-2111-1-1-1-1122-222-2-2-200000000−2i32i3002i3−2i3i3i3−i3−i3−i3−i3i3i3-1-11100000000000000000000000000000000000000000000
χ1054-4-444-44-4-2-2-4-444-2-22222222-2-2-22-2111-1-1-1-1122-222-2-2-2000000002i3−2i300−2i32i3−i3−i3i3i3i3i3−i3−i3-1-11100000000000000000000000000000000000000000000
χ1064-4-4-444-44440000-44-44-4-444-4-4-444-44-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-4-444-444-20000-44-44-42-2-22-42-242-22-22-2-222000000000000000000000000000000000000000000000023−2300−232300000000000000000000000000
χ1084-4-4-444-444-20000-44-44-42-2-22-42-242-22-22-2-2220000000000000000000000000000000000000000000000−23230023−2300000000000000000000000000
χ1094-4-4-444-44-2400002-22-22-444-42-44-2-4-22-22-2-2220000000000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000
χ1104-4-4-444-44-2400002-22-22-444-42-44-2-4-22-22-2-2220000000000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000
χ111888-88-8-8-8-4-400004-4-44-4-444-444-4442-222-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-88-88-8-8-4-40000-44-444-4-4444-44-4422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-8-8-88-4-40000-444-4-444-4-44-444422-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-888-88-4-400004-44-444-4-4444-4-442-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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