Finite Group Databasebeta

← Group #11808411

Character table — Group #11808411

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order12222222336666666666666644444444222234466666666666666612121212121212121212121266666666666612121212121244444444444444121212121212121212121212121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-11-1-11111-1-1-1-11111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1
χ41111111111111111111111111111111111-1-11-1-11111-1-1-1-11111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111
χ511111111111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111
χ611111111111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1
χ711111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ811111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ11111111111111111111111111-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111111111-1-1-1-111-1-111-1-1-1-111-1-111
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ17222222222-12222-1-1-122-1-1-1-12000000002222-12222222222-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000222222000000000000-1-1-1-1-1-1-1-100000000
χ18222222222-12222-1-1-122-1-1-1-12000000002222-12222222222-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000-2-2-2-2-2-20000000000001111111100000000
χ19222222222-12222-1-1-122-1-1-1-120000000022-2-2-1-2-22222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200000000-1-111-1-1-1-111111111112200000022-2-2-2-2000000000000-1-11111-1-100000000
χ20222222222-12222-1-1-122-1-1-1-120000000022-2-2-1-2-22222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200000000-1-111-1-1-1-11111111111-2-2000000-2-2222200000000000011-1-1-1-11100000000
χ21222222222-12222-1-1-122-1-1-1-1200000000-2-222-1-2-2-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-20000000011-1-11111-1-1-1-111111122000000-2-222-2-200000000000011-1-111-1-100000000
χ22222222222-12222-1-1-122-1-1-1-1200000000-2-222-1-2-2-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-20000000011-1-11111-1-1-1-1111111-2-200000022-2-222000000000000-1-111-1-11100000000
χ23222222222-12222-1-1-122-1-1-1-1200000000-2-2-2-2-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1222200000000111111111111-1-1-1-1-1-122000000-2-2-2-2220000000000001111-1-1-1-100000000
χ24222222222-12222-1-1-122-1-1-1-1200000000-2-2-2-2-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1222200000000111111111111-1-1-1-1-1-1-2-20000002222-2-2000000000000-1-1-1-1111100000000
χ2522222222-12-1-1-1-1222-1-12222-1222222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-100222222000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-1-1-1222-1-12222-12222222222-2-2-1-2-2-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-122-2-2-1-1-1-11111-2-211110022-2-2-2-20000001111-1-1-1-111110000000000000000
χ2722222222-12-1-1-1-1222-1-12222-122222222-2-222-1-2-21111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-2-2221111-1-1-1-1-2-2111100-2-222-2-200000011111111-1-1-1-10000000000000000
χ2822222222-12-1-1-1-1222-1-12222-122222222-2-2-2-2-12211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111122-1-1-1-100-2-2-2-222000000-1-1-1-1111111110000000000000000
χ2922222222-12-1-1-1-1222-1-12222-1-2-2-2-2-2-2-2-22222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111112222-1-1-1-1-1-1-1-122-1-1-1-100-2-2-2-2-2-20000001111111111110000000000000000
χ3022222222-12-1-1-1-1222-1-12222-1-2-2-2-2-2-2-2-222-2-2-1-2-2-1-1-1-11111-1-1-1-1-1-1-111111111111122-2-2-1-1-1-11111-2-2111100-2-22222000000-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-12-1-1-1-1222-1-12222-1-2-2-2-2-2-2-2-2-2-222-1-2-21111-1-1-1-1-1-1-1-1-1-1-1111111111111-2-2221111-1-1-1-1-2-211110022-2-222000000-1-1-1-1-1-1-1-111110000000000000000
χ3222222222-12-1-1-1-1222-1-12222-1-2-2-2-2-2-2-2-2-2-2-2-2-12211111111-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-21111111122-1-1-1-1002222-2-20000001111-1-1-1-1-1-1-1-10000000000000000
χ33222-22-2-2-22222-2-222-2-2-22-2-2-222222-2-2-2-2000020000000000222-2-2-2-200002222-2-2-2-20000000000000000002i−2i0000000000000000000000000000002i−2i002i−2i0000
χ34222-22-2-2-22222-2-222-2-2-22-2-2-222222-2-2-2-2000020000000000222-2-2-2-200002222-2-2-2-2000000000000000000−2i2i000000000000000000000000000000−2i2i00−2i2i0000
χ35222-22-2-2-22222-2-222-2-2-22-2-2-22-2-2-2-22222000020000000000222-2-2-2-20000-2-2-2-222220000000000000000002i−2i0000000000000000000000000000002i−2i00−2i2i0000
χ36222-22-2-2-22222-2-222-2-2-22-2-2-22-2-2-2-22222000020000000000222-2-2-2-20000-2-2-2-22222000000000000000000−2i2i000000000000000000000000000000−2i2i002i−2i0000
χ3722-22-22-2-2222-22-22-2-22-2-22-22-22i2i−2i−2i2i2i−2i−2i002-2200000022-2-22-2-22-2-2200002i2i−2i−2i2i2i−2i−2i002-2000022-2-200000000002i−2i00000000000000002i2i−2i−2i0000000000000000
χ3822-22-22-2-2222-22-22-2-22-2-22-22-22i2i−2i−2i2i2i−2i−2i00-222000000-2-2222-2-22-2-2200002i2i−2i−2i2i2i−2i−2i00-220000-2-2220000000000−2i2i0000000000000000−2i−2i2i2i0000000000000000
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χ4022-22-22-2-2222-22-22-2-22-2-22-22-2−2i−2i2i2i−2i−2i2i2i00-222000000-2-2222-2-22-2-220000−2i−2i2i2i−2i−2i2i2i00-220000-2-22200000000002i−2i00000000000000002i2i−2i−2i0000000000000000
χ4122-22-22-2-2-12-11-112-2-2-11-22-2212i2i−2i−2i2i2i−2i−2i002-2-100−i3−i3i3i3-1-111-111-111-1−i3−i3i3i3−i−iii−i−iii002-2−i3−i3i3i3-1-11100−i3−i3i3i300002i−2i0000000033−3−333−3−3−i−iii0000000000000000
χ4222-22-22-2-2-12-11-112-2-2-11-22-2212i2i−2i−2i2i2i−2i−2i002-2-100i3i3−i3−i3-1-111-111-111-1i3i3−i3−i3−i−iii−i−iii002-2i3i3−i3−i3-1-11100i3i3−i3−i300002i−2i00000000−3−333−3−333−i−iii0000000000000000
χ4322-22-22-2-2-12-11-112-2-2-11-22-2212i2i−2i−2i2i2i−2i−2i00-22-100−i3−i3i3i311-1-1-111-111-1i3i3−i3−i3−i−iii−i−iii00-22−i3−i3i3i311-1-100i3i3−i3−i30000−2i2i00000000−3−33333−3−3ii−i−i0000000000000000
χ4422-22-22-2-2-12-11-112-2-2-11-22-2212i2i−2i−2i2i2i−2i−2i00-22-100i3i3−i3−i311-1-1-111-111-1−i3−i3i3i3−i−iii−i−iii00-22i3i3−i3−i311-1-100−i3−i3i3i30000−2i2i0000000033−3−3−3−333ii−i−i0000000000000000
χ4522-22-22-2-2-12-11-112-2-2-11-22-221−2i−2i2i2i−2i−2i2i2i002-2-100−i3−i3i3i3-1-111-111-111-1−i3−i3i3i3ii−i−iii−i−i002-2−i3−i3i3i3-1-11100−i3−i3i3i30000−2i2i00000000−3−333−3−333ii−i−i0000000000000000
χ4622-22-22-2-2-12-11-112-2-2-11-22-221−2i−2i2i2i−2i−2i2i2i002-2-100i3i3−i3−i3-1-111-111-111-1i3i3−i3−i3ii−i−iii−i−i002-2i3i3−i3−i3-1-11100i3i3−i3−i30000−2i2i0000000033−3−333−3−3ii−i−i0000000000000000
χ4722-22-22-2-2-12-11-112-2-2-11-22-221−2i−2i2i2i−2i−2i2i2i00-22-100−i3−i3i3i311-1-1-111-111-1i3i3−i3−i3ii−i−iii−i−i00-22−i3−i3i3i311-1-100i3i3−i3−i300002i−2i0000000033−3−3−3−333−i−iii0000000000000000
χ4822-22-22-2-2-12-11-112-2-2-11-22-221−2i−2i2i2i−2i−2i2i2i00-22-100i3i3−i3−i311-1-1-111-111-1−i3−i3i3i3ii−i−iii−i−i00-22i3i3−i3−i311-1-100−i3−i3i3i300002i−2i00000000−3−33333−3−3−i−iii0000000000000000
χ4922-2-2-2-222222-2-222-22-22-2-22-2-22i2i−2i−2i−2i−2i2i2i0000200000000002-2-2-222-200002i2i−2i−2i−2i−2i2i2i00000000000000000000000000002i−2i00000000000000002i−2i00000000002-2
χ5022-2-2-2-222222-2-222-22-22-2-22-2-22i2i−2i−2i−2i−2i2i2i0000200000000002-2-2-222-200002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000−2i2i0000000000000000−2i2i0000000000-22
χ5122-2-2-2-222222-2-222-22-22-2-22-2-2−2i−2i2i2i2i2i−2i−2i0000200000000002-2-2-222-20000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000002i−2i00000000000000002i−2i0000000000-22
χ5222-2-2-2-222222-2-222-22-22-2-22-2-2−2i−2i2i2i2i2i−2i−2i0000200000000002-2-2-222-20000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000−2i2i0000000000000000−2i2i00000000002-2
χ532-222-2-22-222-22-22-22-22-2-2-222-22i−2i2i−2i2i−2i2i−2i2-2002002-22-20000-22-2-22-2200002i−2i2i−2i2i−2i2i−2i2-2002-22-20000000000002i−2i000000000000002i−2i2i−2i00000000000000000000
χ542-222-2-22-222-22-22-22-22-2-2-222-22i−2i2i−2i2i−2i2i−2i-2200200-22-220000-22-2-22-2200002i−2i2i−2i2i−2i2i−2i-2200-22-22000000000000−2i2i00000000000000−2i2i−2i2i00000000000000000000
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χ562-222-2-22-222-22-22-22-22-2-2-222-2−2i2i−2i2i−2i2i−2i2i-2200200-22-220000-22-2-22-220000−2i2i−2i2i−2i2i−2i2i-2200-22-220000000000002i−2i000000000000002i−2i2i−2i00000000000000000000
χ572-222-2-22-2-121-11-1-22-2-11-2-22212i−2i2i−2i2i−2i2i−2i2-200-100-11-11−i3i3−i3i31-111-11-1−i3i3−i3i3−ii−ii−ii−ii2-200-11-11−i3i3−i3i300−i3i3−i3i3002i−2i00000000003−33−3−ii−ii3−33−30000000000000000
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χ592-222-2-22-2-121-11-1-22-2-11-2-22212i−2i2i−2i2i−2i2i−2i-2200-1001-11-1−i3i3−i3i31-111-11-1i3−i3i3−i3−ii−ii−ii−ii-22001-11-1−i3i3−i3i300i3−i3i3−i300−2i2i0000000000−33−33i−ii−i3−33−30000000000000000
χ602-222-2-22-2-121-11-1-22-2-11-2-22212i−2i2i−2i2i−2i2i−2i-2200-1001-11-1i3−i3i3−i31-111-11-1−i3i3−i3i3−ii−ii−ii−ii-22001-11-1i3−i3i3−i300−i3i3−i3i300−2i2i00000000003−33−3i−ii−i−33−330000000000000000
χ612-222-2-22-2-121-11-1-22-2-11-2-2221−2i2i−2i2i−2i2i−2i2i2-200-100-11-11−i3i3−i3i31-111-11-1−i3i3−i3i3i−ii−ii−ii−i2-200-11-11−i3i3−i3i300−i3i3−i3i300−2i2i0000000000−33−33i−ii−i−33−330000000000000000
χ622-222-2-22-2-121-11-1-22-2-11-2-2221−2i2i−2i2i−2i2i−2i2i2-200-100-11-11i3−i3i3−i31-111-11-1i3−i3i3−i3i−ii−ii−ii−i2-200-11-11i3−i3i3−i300i3−i3i3−i300−2i2i00000000003−33−3i−ii−i3−33−30000000000000000
χ632-222-2-22-2-121-11-1-22-2-11-2-2221−2i2i−2i2i−2i2i−2i2i-2200-1001-11-1−i3i3−i3i31-111-11-1i3−i3i3−i3i−ii−ii−ii−i-22001-11-1−i3i3−i3i300i3−i3i3−i3002i−2i00000000003−33−3−ii−ii−33−330000000000000000
χ642-222-2-22-2-121-11-1-22-2-11-2-2221−2i2i−2i2i−2i2i−2i2i-2200-1001-11-1i3−i3i3−i31-111-11-1−i3i3−i3i3i−ii−ii−ii−i-22001-11-1i3−i3i3−i300−i3i3−i3i3002i−2i0000000000−33−33−ii−ii3−33−30000000000000000
χ652-22-2-22-2222-222-2-222-22-22-2-2-22i−2i2i−2i−2i2i−2i2i000020000000000-22-22-22-200002i−2i2i−2i−2i2i−2i2i000000000000000000000000002i−2i00000000000000002i−2i00000000002-200
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χ672-22-2-22-2222-222-2-222-22-22-2-2-2−2i2i−2i2i2i−2i2i−2i000020000000000-22-22-22-20000−2i2i−2i2i2i−2i2i−2i000000000000000000000000002i−2i00000000000000002i−2i0000000000-2200
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χ8544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000004444144-2-2-2-2-2-2-2-21111111-2-2-2-200000000-2-2-2-211111111-2-21111000000000000000000000000000000000000000000
χ8644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000044-4-41-4-4-2-2-2-222221111111222200000000-2-2221111-1-1-1-122-1-1-1-1000000000000000000000000000000000000000000
χ8744444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-4-4441-4-42222-2-2-2-2111111122220000000022-2-2-1-1-1-1111122-1-1-1-1000000000000000000000000000000000000000000
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χ10144-4-4-4-444-24-222-24-442-2-4-44-424i4i−4i−4i−4i−4i4i4i0000-20000000000-2222-2-220000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000
χ10244-4-4-4-444-24-222-24-442-2-4-44-42−4i−4i4i4i4i4i−4i−4i0000-20000000000-2222-2-2200002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000
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χ1084-444-4-44-4-2-22-22-22-22-2222-2-2200000000-44001002-22-22i3−2i32i3−2i3-11-1-11-11−2i32i3−2i32i3000000002-200-11-11−i3i3−i3i300i3−i3i3−i3000000000000000000000000000000000000000000
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χ1124-44-4-44-44-242-2-22-4442-2-44-4-42−4i4i−4i4i4i−4i4i−4i0000-200000000002-22-22-2200002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000
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χ1174-4-444-4-44-2-2222222-2-2-2-222-2-20000000000001-44−2i32i32i3−2i32i3−2i3−2i32i3-1-11-1-1112-2-22000000000000i3−i3−i3i3−i3i3i3−i32-2-111-1000000000000000000000000000000000000000000
χ1184-4-444-4-44-2-2222222-2-2-2-222-2-20000000000001-442i3−2i3−2i32i3−2i32i32i3−2i3-1-11-1-1112-2-22000000000000−i3i3i3−i3i3−i3−i3i32-2-111-1000000000000000000000000000000000000000000
χ1194-4-4-4444-44-2-4-444222-4-4-2-2-224000000000000-2000000000022-2-2-2220000000000000000000000000000000000000000004-40000000000000000-220000000000
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χ1268-8-8-8888-8-4-444-4-444444-4-4-44-400000000000020000000000-2-2222-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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