Finite Group Databasebeta

← Group #11817759

Character table — Group #11817759

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222444444444444444444444444446666666666666666888888888888888888121212121212121212121212121212121212121224242424242424242424363636367272
order1222222233666666666666663444444666666612121212121212121212121244444444121212121212121212121212121212121212121212121212121244444444121212121212121212121212441212121212121212224424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-11111-1-111-1-1-11
χ6111111111111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11-111-1-1-1-111-1-1111-1
χ7111111111111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-1111-1
χ8111111111111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-1-11
χ91111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111111-11111-1-1-1-111-1-11-1
χ101111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-1-1-1-11111-1-111-11
χ111111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-11
χ121111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11-1
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111111111-1-111-1-11111-1-1
χ17222222222-1222-1-12-12-1-12-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-1222-1-12-12-1-12-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2001111111111110000000000000000
χ19222222222-1222-1-12-12-1-12-1-12-122-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-111112222-2-2-2-211111111-2-222-2-2-1-1-1-1111111112200-2-200-1-1-1-1-1-1-1-111110000000000000000
χ20222222222-1222-1-12-12-1-12-1-12-122-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-11111-2-2-2-22222-1-1-1-1-1-1-1-1-2-222-2-2-1-1-1-111111111-2-200220011111111-1-1-1-10000000000000000
χ21222222222-1222-1-12-12-1-12-1-12-1-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-21111111122-2-2-2-21111-1-1-1-11111-2-20022001111-1-1-1-1-1-1-1-10000000000000000
χ22222222222-1222-1-12-12-1-12-1-12-1-2-222-2-2-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-111112200-2-200-1-1-1-1111111110000000000000000
χ23222222222-1222-1-12-12-1-12-1-12-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-122222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1-2-200-2-2001111-1-1-1-111110000000000000000
χ24222222222-1222-1-12-12-1-12-1-12-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-2-2-2-2-211111111-2-2-2-22211111111-1-1-1-122002200-1-1-1-11111-1-1-1-10000000000000000
χ2522222222-12-1-1-122-12-122-122-1-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002200000000000022-1-1-1-1-1-1-1-1000000
χ2622222222-12-1-1-122-12-122-122-1-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000-2-211111111000000
χ2722222222-12-1-1-122-12-122-122-1-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000000000000011-1-111-1-1-1-111111111002200-2-2000000000000-2211-1-1-1-111000000
χ2822222222-12-1-1-122-12-122-122-1-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000000000000011-1-111-1-1-1-11111111100-2-200220000000000002-2-1-11111-1-1000000
χ2922222222-12-1-1-122-12-122-122-1-1-2-222-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000000000000-1-111111111-1-1-1-11111002200-2-20000000000002-2-1-1-1-11111000000
χ3022222222-12-1-1-122-12-122-122-1-1-2-222-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000000000000-1-111111111-1-1-1-1111100-2-20022000000000000-221111-1-1-1-1000000
χ3122222222-12-1-1-122-12-122-122-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000000000001111-1-111111111-1-1-1-100220022000000000000-2-211-1-111-1-1000000
χ3222222222-12-1-1-122-12-122-122-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000000000001111-1-111111111-1-1-1-100-2-200-2-200000000000022-1-111-1-111000000
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χ35222-2-22-2-22222-22-2-2-2-22-2-22-222−2i2i000022-2-22-2-20000−2i−2i2i2i00002i2i−2i−2i00000000000000−2i2i00−2i−2i2i2i00000000-22000000-2-2222i2i−2i−2i00000000000000000000
χ36222-2-22-2-22222-22-2-2-2-22-2-22-222−2i2i000022-2-22-2-20000−2i−2i2i2i0000−2i−2i2i2i00000000000000−2i2i00−2i−2i2i2i000000002-200000022-2-2−2i−2i2i2i00000000000000000000
χ37222-2-22-2-22-122-2-11-21-2-11-2-112-12i−2i0000-1-111-11133−3−3−i−iii−i3−i3i3i32i2i−2i−2i00003333−3−3−3−3002i−2i00−i−iii33−3−3−i3−i3i3i32-2000000-1-111−i−iii−i3−i3i3i30000000000000000
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χ39222-2-22-2-22-122-2-11-21-2-11-2-112-12i−2i0000-1-111-111−3−333−i−iiii3i3−i3−i32i2i−2i−2i0000−3−3−3−33333002i−2i00−i−iii−3−333i3i3−i3−i32-2000000-1-111−i−iiii3i3−i3−i30000000000000000
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χ41222-2-22-2-22-122-2-11-21-2-11-2-112-1−2i2i0000-1-111-11133−3−3ii−i−ii3i3−i3−i32i2i−2i−2i0000−3−3−3−3333300−2i2i00ii−i−i33−3−3i3i3−i3−i3-2200000011-1-1−i−iii−i3−i3i3i30000000000000000
χ42222-2-22-2-22-122-2-11-21-2-11-2-112-1−2i2i0000-1-111-11133−3−3ii−i−ii3i3−i3−i3−2i−2i2i2i00003333−3−3−3−300−2i2i00ii−i−i33−3−3i3i3−i3−i32-2000000-1-111ii−i−ii3i3−i3−i30000000000000000
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χ4522-2-22-22-2222-2-22-222-2-2-22-22-220000002-2-2-2-22200000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000002i−2i000000000000000000002i−2i2-20000
χ4622-2-22-22-2222-2-22-222-2-2-22-22-220000002-2-2-2-22200000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i2i00000000000000000000−2i2i-220000
χ4722-2-22-22-2222-2-22-222-2-2-22-22-220000002-2-2-2-2220000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i−2i000000000000000000002i−2i-220000
χ4822-2-22-22-2222-2-22-222-2-2-22-22-220000002-2-2-2-2220000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2i2i00000000000000000000−2i2i2-20000
χ492-2222-2-2-222-22-2-22-2-222-22-22-2200002i−2i-222-2-22-2000000002i−2i2i−2i2-22-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00002i−2i000000002i−2i2i−2i0000000000002-22-200000000000000000000
χ502-2222-2-2-222-22-2-22-2-222-22-22-2200002i−2i-222-2-22-2000000002i−2i2i−2i-22-22−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00002i−2i000000002i−2i2i−2i000000000000-22-2200000000000000000000
χ512-2222-2-2-222-22-2-22-2-222-22-22-220000−2i2i-222-2-22-200000000−2i2i−2i2i2-22-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000−2i2i00000000−2i2i−2i2i0000000000002-22-200000000000000000000
χ522-2222-2-2-222-22-2-22-2-222-22-22-220000−2i2i-222-2-22-200000000−2i2i−2i2i-22-222i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000−2i2i00000000−2i2i−2i2i000000000000-22-2200000000000000000000
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χ542-2222-2-2-22-1-22-21-1-212-1121-1-2-100002i−2i1-1-111-113−33−3−i3i3−i3i3−ii−ii-22-22−2i2i−2i2ii−ii−ii−ii−i00002i−2i−i3i3−i3i33−33−3−ii−ii00000000i3−i3i3−i31-11-1−33−330000000000000000
χ552-2222-2-2-22-1-22-21-1-212-1121-1-2-100002i−2i1-1-111-11−33−33i3−i3i3−i3−ii−ii2-22-22i−2i2i−2i−ii−ii−ii−ii00002i−2ii3−i3i3−i3−33−33−ii−ii00000000i3−i3i3−i3-11-11−33−330000000000000000
χ562-2222-2-2-22-1-22-21-1-212-1121-1-2-100002i−2i1-1-111-11−33−33i3−i3i3−i3−ii−ii-22-22−2i2i−2i2ii−ii−ii−ii−i00002i−2ii3−i3i3−i3−33−33−ii−ii00000000−i3i3−i3i31-11-13−33−30000000000000000
χ572-2222-2-2-22-1-22-21-1-212-1121-1-2-10000−2i2i1-1-111-113−33−3i3−i3i3−i3i−ii−i2-22-2−2i2i−2i2ii−ii−ii−ii−i0000−2i2ii3−i3i3−i33−33−3i−ii−i00000000i3−i3i3−i3-11-113−33−30000000000000000
χ582-2222-2-2-22-1-22-21-1-212-1121-1-2-10000−2i2i1-1-111-113−33−3i3−i3i3−i3i−ii−i-22-222i−2i2i−2i−ii−ii−ii−ii0000−2i2ii3−i3i3−i33−33−3i−ii−i00000000−i3i3−i3i31-11-1−33−330000000000000000
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χ602-2222-2-2-22-1-22-21-1-212-1121-1-2-10000−2i2i1-1-111-11−33−33−i3i3−i3i3i−ii−i-22-222i−2i2i−2i−ii−ii−ii−ii0000−2i2i−i3i3−i3i3−33−33i−ii−i00000000i3−i3i3−i31-11-13−33−30000000000000000
χ612-22-2-2-22222-222-2-222-222-2-2-2-22002-200-22-22-2-222-2-22000000002i−2i−2i2i0000000000002-2000000002-2-22000000002i−2i0000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ622-22-2-2-22222-222-2-222-222-2-2-2-22002-200-22-22-2-222-2-2200000000−2i2i2i−2i0000000000002-2000000002-2-2200000000−2i2i000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ632-22-2-2-22222-222-2-222-222-2-2-2-2200-2200-22-22-2-22-222-2000000002i−2i−2i2i000000000000-2200000000-222-200000000−2i2i0000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ642-22-2-2-22222-222-2-222-222-2-2-2-2200-2200-22-22-2-22-222-200000000−2i2i2i−2i000000000000-2200000000-222-2000000002i−2i000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ652-22-2-2-2222-1-222112-1-2-1-1-211-2-1002-2001-11-111-1-111-13−3−33−333−32i−2i−2i2i0000−i3i3−i3i3i3−i3i3−i32-200003−3−33-111-1−333−300002i−2i00−i3i3i3−i3−iii−ii−i−ii0000000000000000
χ662-22-2-2-2222-1-222112-1-2-1-1-211-2-1002-2001-11-111-1-111-13−3−33−333−3−2i2i2i−2i0000i3−i3i3−i3−i3i3−i3i32-200003−3−33-111-1−333−30000−2i2i00i3−i3−i3i3i−i−ii−iii−i0000000000000000
χ672-22-2-2-2222-1-222112-1-2-1-1-211-2-1002-2001-11-111-1-111-1−333−33−3−332i−2i−2i2i0000i3−i3i3−i3−i3i3−i3i32-20000−333−3-111-13−3−3300002i−2i00i3−i3−i3i3−iii−ii−i−ii0000000000000000
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χ1124-4-44-444-4-24222-44-24-2-4-424-4-2-200000022-22-22-20000000000000000000000000000000000000000000000000000000000000000000000002i3−2i300000000
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χ1208-8-8-888-88-4-444-4444444-4-4-4-4-42000000-2-2-2222-20000000000000000000000000000000000000000000000000000000000000000000000000000000000

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