Finite Group Databasebeta

← Group #11812902

Character table — Group #11812902

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order1222222233444466666666666666366666661212121212121212246666666612121212121212121212121222444444444444446666121212121212121212121212222212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1
χ101111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-11
χ111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-11
χ121111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1111-1
χ131111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-11
χ141111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-1
χ151111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-11-1
χ161111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-11
χ17222222222-1222222-1-1-1-12-1222-12-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12200220000222200-1-1-1-100000000-1-1-1-10000-1-10000-1-10000
χ18222222222-1222222-1-1-1-12-1222-12-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-200-2-20000-2-2-2-20011110000000011110000110000110000
χ19222222222-1222222-1-1-1-12-1222-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2111111-2-211-1-1-1-111112200-2-2000022-2-200-1-1-1-100000000-1-1-1-10000110000110000
χ20222222222-1222222-1-1-1-12-1222-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2111111-2-211-1-1-1-11111-2-200220000-2-2220011110000000011110000-1-10000-1-10000
χ21222222222-1-2-2-2-222-1-1-1-12-1222-12-1-1-1-1-1-1-1-1-1-2-2-2-211112-222-1-1-1-1-1-1-2-211111111112200-2-20000-2-22200-1-1-1-10000000011110000110000-1-10000
χ22222222222-1-2-2-2-222-1-1-1-12-1222-12-1-1-1-1-1-1-1-1-1-2-2-2-211112-222-1-1-1-1-1-1-2-21111111111-2-20022000022-2-200111100000000-1-1-1-10000-1-10000110000
χ23222222222-1-2-2-2-222-1-1-1-12-1222-12-1-1-1-1-1-1-1-1-1-2-2-2-21111-22-2-211111122-1-11111-1-1-1-12200220000-2-2-2-200-1-1-1-10000000011110000-1-10000110000
χ24222222222-1-2-2-2-222-1-1-1-12-1222-12-1-1-1-1-1-1-1-1-1-2-2-2-21111-22-2-211111122-1-11111-1-1-1-1-2-200-2-20000222200111100000000-1-1-1-10000110000-1-10000
χ2522222222-122222-1-12222-12-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-100220022220000220000-1-1-1-1-1-1-1-10000000000-1-1-1-1000000
χ2622222222-122222-1-12222-12-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-200-2-2-2-20000-2-200001111111100000000001111000000
χ2722222222-122222-1-12222-12-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1-12222-2-211-2-2111111-2-2-1-1-1-11111002200-2-2220000-2-20000-1-1-1-1-1-1-1-100000000001111000000
χ2822222222-122222-1-12222-12-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1-12222-2-211-2-2111111-2-2-1-1-1-1111100-2-20022-2-20000220000111111110000000000-1-1-1-1000000
χ2922222222-12-2-2-2-2-1-12222-12-1-1-12-12-1-1-1-1-1-1-1-11111-2-2-2-22-2-1-122-1-1-1-111-2-21111111100220022-2-20000-2-20000-1-1-1-111110000000000-1-111000000
χ3022222222-12-2-2-2-2-1-12222-12-1-1-12-12-1-1-1-1-1-1-1-11111-2-2-2-22-2-1-122-1-1-1-111-2-21111111100-2-200-2-22200002200001111-1-1-1-1000000000011-1-1000000
χ3122222222-12-2-2-2-2-1-12222-12-1-1-12-12-1-1-1-1-1-1-1-11111-2-2-2-2-2211-2-21111-1-1221111-1-1-1-1002200-2-2-2-20000220000-1-1-1-11111000000000011-1-1000000
χ3222222222-12-2-2-2-2-1-12222-12-1-1-12-12-1-1-1-1-1-1-1-11111-2-2-2-2-2211-2-21111-1-1221111-1-1-1-100-2-20022220000-2-200001111-1-1-1-10000000000-1-111000000
χ3322-2-22-22-2222i2i−2i−2i2-222-2-2-2-222-22-2-22222-2-2-2-22i2i−2i−2i2i2i−2i−2i000000000000002i2i−2i−2i00000000000000000000000000000000000022-2-2000000002i−2i00
χ3422-2-22-22-2222i2i−2i−2i2-222-2-2-2-222-22-2-22222-2-2-2-22i2i−2i−2i2i2i−2i−2i000000000000002i2i−2i−2i000000000000000000000000000000000000-2-22200000000−2i2i00
χ3522-2-22-22-222−2i−2i2i2i2-222-2-2-2-222-22-2-22222-2-2-2-2−2i−2i2i2i−2i−2i2i2i00000000000000−2i−2i2i2i00000000000000000000000000000000000022-2-200000000−2i2i00
χ3622-2-22-22-222−2i−2i2i2i2-222-2-2-2-222-22-2-22222-2-2-2-2−2i−2i2i2i−2i−2i2i2i00000000000000−2i−2i2i2i000000000000000000000000000000000000-2-222000000002i−2i00
χ372-22-22-2-22222-22-2-2-2-2-2-2-2222-2-222222-2-2-2-2222-22-22-22-2000000000000002-22-2000000002-20000002-200000000000000000000002-200002-20000
χ382-22-22-2-22222-22-2-2-2-2-2-2-2222-2-222222-2-2-2-2222-22-22-22-2000000000000002-22-200000000-22000000-220000000000000000000000-220000-220000
χ392-22-22-2-2222-22-22-2-2-2-2-2-2222-2-222222-2-2-2-222-22-22-22-2200000000000000-22-22000000002-2000000-2200000000000000000000002-20000-220000
χ402-22-22-2-2222-22-22-2-2-2-2-2-2222-2-222222-2-2-2-222-22-22-22-2200000000000000-22-2200000000-220000002-20000000000000000000000-2200002-20000
χ412-22-22-2-222-12-22-2-2-211112-12-2-2-12-1-1-11111-1-12-22-2-11-110000−i3i3−i3−i3i3i300−i3i3-11-11−i3−i3i3i300002-20000002-200−i3−i3i3i300000000−i3−i3i3i30000-110000-110000
χ422-22-22-2-222-12-22-2-2-211112-12-2-2-12-1-1-11111-1-12-22-2-11-110000−i3i3−i3−i3i3i300−i3i3-11-11−i3−i3i3i30000-22000000-2200i3i3−i3−i300000000i3i3−i3−i300001-100001-10000
χ432-22-22-2-222-12-22-2-2-211112-12-2-2-12-1-1-11111-1-12-22-2-11-110000i3−i3i3i3−i3−i300i3−i3-11-11i3i3−i3−i300002-20000002-200i3i3−i3−i300000000i3i3−i3−i30000-110000-110000
χ442-22-22-2-222-12-22-2-2-211112-12-2-2-12-1-1-11111-1-12-22-2-11-110000i3−i3i3i3−i3−i300i3−i3-11-11i3i3−i3−i30000-22000000-2200−i3−i3i3i300000000−i3−i3i3i300001-100001-10000
χ452-22-22-2-222-1-22-22-2-211112-12-2-2-12-1-1-11111-1-1-22-221-11-10000−i3i3−i3−i3i3i300i3−i31-11-1i3i3−i3−i300002-2000000-2200i3i3−i3−i300000000−i3−i3i3i30000-1100001-10000
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χ472-22-22-2-222-1-22-22-2-211112-12-2-2-12-1-1-11111-1-1-22-221-11-10000i3−i3i3i3−i3−i300−i3i31-11-1−i3−i3i3i300002-2000000-2200−i3−i3i3i300000000i3i3−i3−i30000-1100001-10000
χ482-22-22-2-222-1-22-22-2-211112-12-2-2-12-1-1-11111-1-1-22-221-11-10000i3−i3i3i3−i3−i300−i3i31-11-1−i3−i3i3i30000-220000002-200i3i3−i3−i300000000−i3−i3i3i300001-10000-110000
χ492-22-2-222-2220000-222-22-222-22-2-2-2-22-22-22-22-2000000000000000000000000000000002i−2i0000002i−2i000000002i2i−2i−2i00002i−2i2i−2i2-22-2000000000000
χ502-22-2-222-2220000-222-22-222-22-2-2-2-22-22-22-22-2000000000000000000000000000000002i−2i000000−2i2i000000002i2i−2i−2i0000−2i2i−2i2i-22-22000000000000
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χ522-22-2-222-2220000-222-22-222-22-2-2-2-22-22-22-22-200000000000000000000000000000000−2i2i000000−2i2i00000000−2i−2i2i2i0000−2i2i−2i2i2-22-2000000000000
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χ552-2-2222-2-222−2i2i2i−2i-22-2-222-2-22-222-2-222-2-222-2-2−2i2i2i−2i−2i2i2i−2i00000000000000−2i2i2i−2i00000000002-2000000−2i2i00000000000000000000002-2−2i2i000000
χ562-2-2222-2-222−2i2i2i−2i-22-2-222-2-22-222-2-222-2-222-2-2−2i2i2i−2i−2i2i2i−2i00000000000000−2i2i2i−2i0000000000-220000002i−2i0000000000000000000000-222i−2i000000
χ572-2-2222-2-2-122i−2i−2i2i1-1-2-2221-2-11-121-2-1-111-1-111−iii−i2i−2i−2i2i00−i3i300−i3i3−i3i33−300−iii−i3−33−30000002-20000002i−2i0000−i3i3−i3i333−3−30000000000-11−ii000000
χ582-2-2222-2-2-122i−2i−2i2i1-1-2-2221-2-11-121-2-1-111-1-111−iii−i2i−2i−2i2i00−i3i300−i3i3−i3i33−300−iii−i3−33−3000000-22000000−2i2i0000i3−i3i3−i3−3−33300000000001-1i−i000000
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χ8244-4-44-44-4-2-24i4i−4i−4i-22-2-22222-2-22-2221111-1-1-1-1−2i−2i2i2i−2i−2i2i2i0000003-3-330000ii−i−i3i−3i−3i3i000000000000000000000000000000000000000000000000
χ8344-4-44-44-4-2-24i4i−4i−4i-22-2-22222-2-22-2221111-1-1-1-1−2i−2i2i2i−2i−2i2i2i000000-333-30000ii−i−i−3i3i3i−3i000000000000000000000000000000000000000000000000
χ8444-4-44-44-4-2-2−4i−4i4i4i-22-2-22222-2-22-2221111-1-1-1-12i2i−2i−2i2i2i−2i−2i0000003-3-330000−i−iii−3i3i3i−3i000000000000000000000000000000000000000000000000
χ8544-4-44-44-4-2-2−4i−4i4i4i-22-2-22222-2-22-2221111-1-1-1-12i2i−2i−2i2i2i−2i−2i000000-333-30000−i−iii3i−3i−3i3i000000000000000000000000000000000000000000000000
χ8644-4-4-44-4444000044-444-4-4-4-4-4-4-4444-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8744-4-4-44-444-20000442-2-22-42-4-4-424-2-222-2-222-20000000000000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ8844-4-4-44-444-20000442-2-22-42-4-4-424-2-222-2-222-200000000000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ8944-4-4-44-44-240000-2-2-444-42-4222-4-24-222-2-222-20000000000000000000000000000000000000000000000000023−23−2323000000000000000000000000
χ9044-4-4-44-44-240000-2-2-444-42-4222-4-24-222-2-222-200000000000000000000000000000000000000000000000000−232323−23000000000000000000000000
χ914-44-44-4-44-244-44-422-4-4-4-4-24-2224-24-2-22222-2-2-22-224-44-400000000000000-22-220000000000000000000000000000000000000000000000000000
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χ934-44-44-4-44-2-24-44-4222222-2-2-222-2-2-211-1-1-1-111-22-22-22-220000−2i32i3i3i3−i3−i300−2i32i31-11-1i3i3−i3−i3000000000000000000000000000000000000000000000000
χ944-44-44-4-44-2-24-44-4222222-2-2-222-2-2-211-1-1-1-111-22-22-22-2200002i3−2i3−i3−i3i3i3002i3−2i31-11-1−i3−i3i3i3000000000000000000000000000000000000000000000000
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χ964-44-44-4-44-2-2-44-44222222-2-2-222-2-2-211-1-1-1-1112-22-22-22-200002i3−2i3−i3−i3i3i300−2i32i3-11-11i3i3−i3−i3000000000000000000000000000000000000000000000000
χ974-44-4-444-44-20000-44-22-224-2-44-42-42-22-22-22-2200000000000000000000000000000000000000004i−4i0000000000000000−2i2i−2i2i0000000000000000
χ984-44-4-444-44-20000-44-22-224-2-44-42-42-22-22-22-220000000000000000000000000000000000000000−4i4i00000000000000002i−2i2i−2i0000000000000000
χ994-44-4-444-4-2400002-24-44-4-242-22-42-4-22-22-22-22000000000000000000000000000000004i−4i0000000000000000−2i−2i2i2i000000000000000000000000
χ1004-44-4-444-4-2400002-24-44-4-242-22-42-4-22-22-22-2200000000000000000000000000000000−4i4i00000000000000002i2i−2i−2i000000000000000000000000
χ1014-4-4444-4-44-24i−4i−4i4i-4422-2-2-424-44-2-42-2-222-2-2224i−4i−4i4i−2i2i2i−2i00000000000000−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ1024-4-4444-4-44-2−4i4i4i−4i-4422-2-2-424-44-2-42-2-222-2-222−4i4i4i−4i2i−2i−2i2i000000000000002i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ1034-4-4444-4-4-2-24i−4i−4i4i2-222-2-222-22-2-22211-1-111-1-1−2i2i2i−2i−2i2i2i−2i00−2i32i300i3−i3i3−i323−2300i−i−ii−33−33000000000000000000000000000000000000000000000000
χ1044-4-4444-4-4-2-24i−4i−4i4i2-222-2-222-22-2-22211-1-111-1-1−2i2i2i−2i−2i2i2i−2i002i3−2i300−i3i3−i3i3−232300i−i−ii3−33−3000000000000000000000000000000000000000000000000
χ1054-4-4444-4-4-2-2−4i4i4i−4i2-222-2-222-22-2-22211-1-111-1-12i−2i−2i2i2i−2i−2i2i00−2i32i300i3−i3i3−i3−232300−iii−i3−33−3000000000000000000000000000000000000000000000000
χ1064-4-4444-4-4-2-2−4i4i4i−4i2-222-2-222-22-2-22211-1-111-1-12i−2i−2i2i2i−2i−2i2i002i3−2i300−i3i3−i3i323−2300−iii−i−33−33000000000000000000000000000000000000000000000000
χ1074-4-44-4-4444-20000-4-4-222-2-42-44424-2-22-222-22-20000000000000000000000000000004-400000000000000-22-220000000000000000000000000000
χ1084-4-44-4-4444-20000-4-4-222-2-42-44424-2-22-222-22-2000000000000000000000000000000-44000000000000002-22-20000000000000000000000000000
χ1094-4-44-4-444-240000224-4-442-42-2-2-4-24-22-222-22-2000000000000000000000000000000000000004-400000000000000-22-2200000000000000000000
χ1104-4-44-4-444-240000224-4-442-42-2-2-4-24-22-222-22-200000000000000000000000000000000000000-44000000000000002-22-200000000000000000000
χ1118888-8-8-8-8-4-40000-444-44-4-4-444-44442-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-88-88-4-40000-4-44-4-44444444-4-42-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-888-8-4-400004-4-44-44-4-44-444442-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-8-888-4-4000044-444-4444-4-44-4-42-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000

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