Finite Group Databasebeta

← Group #11808410

Character table — Group #11808410

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order122222223366666666666666444444442234444666666666661212121212121212121212121212121266666612121212121212121212121222224444444444666612121212121212126612121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ411111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ511111111111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ611111111111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ711111111111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11111111111-1-111-1-11111-1-1-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111111111-1-111-1-111-1-1-1-11111
χ17222222222-12222-1-1-12-12-1-1-120000000022-122222222-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100222200222200000000000000-1-1-1-1-1-1-1-100000000
χ18222222222-12222-1-1-12-12-1-1-120000000022-122222222-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200-2-2-2-2000000000000001111111100000000
χ19222222222-12222-1-1-12-12-1-1-120000000022-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-1-111111111111100222200-2-2-2-200000000000000-1-11111-1-100000000
χ20222222222-12222-1-1-12-12-1-1-120000000022-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-1-111111111111100-2-2-2-20022220000000000000011-1-1-1-11100000000
χ21222222222-12222-1-1-12-12-1-1-1200000000-2-2-122-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-20000000011111111-1-1-1-1-1-111110022-2-20022-2-200000000000000-1-1-1-1111100000000
χ22222222222-12222-1-1-12-12-1-1-1200000000-2-2-122-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-20000000011111111-1-1-1-1-1-1111100-2-22200-2-222000000000000001111-1-1-1-100000000
χ23222222222-12222-1-1-12-12-1-1-1200000000-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2222200000000111111-1-1111111-1-1-1-10022-2-200-2-22200000000000000-1-111-1-11100000000
χ24222222222-12222-1-1-12-12-1-1-1200000000-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2222200000000111111-1-1111111-1-1-1-100-2-2220022-2-20000000000000011-1-111-1-100000000
χ2522222222-12-1-1-1-1222-12-1222-12222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122000022000022-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-1-1-1222-12-1222-12222222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-20000-2-200002211111111-1-1-1-10000000000000000
χ2722222222-12-1-1-1-1222-12-1222-122222222-2-2-122-2-21111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-2-21111-2-222-1-1-1-11111-2-20000220000-2-21111-1-1-1-111110000000000000000
χ2822222222-12-1-1-1-1222-12-1222-122222222-2-2-1-2-2221111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-2-2111122-2-21111-1-1-1-1220000-2-20000-2-2-1-1-1-1111111110000000000000000
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χ3022222222-12-1-1-1-1222-12-1222-1-2-2-2-2-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111111111111122-1-1-1-1-2-2-2-211111111220000220000-2-2-1-1-1-1-1-1-1-111110000000000000000
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χ3222222222-12-1-1-1-1222-12-1222-1-2-2-2-2-2-2-2-2-2-2-1-2-2221111-1-1-1-1-1-1-11111-1-1-1-111111111-2-2111122-2-21111-1-1-1-1-2-20000220000221111-1-1-1-1-1-1-1-10000000000000000
χ33222-2-2-2-222222-2-222-2-22-2-2-2-222222-2-2-2-20020000000022-2-2-22-2000000002222-2-2-2-2000000000000000000000000002i−2i0000000000000000002i−2i0000002i−2i0000
χ34222-2-2-2-222222-2-222-2-22-2-2-2-222222-2-2-2-20020000000022-2-2-22-2000000002222-2-2-2-200000000000000000000000000−2i2i000000000000000000−2i2i000000−2i2i0000
χ35222-2-2-2-222222-2-222-2-22-2-2-2-22-2-2-2-222220020000000022-2-2-22-200000000-2-2-2-22222000000000000000000000000002i−2i0000000000000000002i−2i000000−2i2i0000
χ36222-2-2-2-222222-2-222-2-22-2-2-2-22-2-2-2-222220020000000022-2-2-22-200000000-2-2-2-2222200000000000000000000000000−2i2i000000000000000000−2i2i0000002i−2i0000
χ3722-222-2-2-2222-22-22-2-22-2-22-22-22i2i−2i−2i2i2i−2i−2i002000000002-22-2-2-22000000002i2i−2i−2i2i2i−2i−2i00000000000000000000002-2000000000000000000000000002-22i−2i000000
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χ4122-2-2-222-2222-2-222-22-2-22-22-2-22i2i−2i−2i−2i−2i2i2i002002i−2i00002-2-222-2-200002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000002i−2i0000002i2i−2i−2i2-200000000000022-2-2000000000000000000000000
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χ4722-2-2-222-2-12-111-12-221-2-1-22-212i2i−2i−2i−2i−2i2i2i00-100−2i2i−i3−i3i3i3-111-1-111−3−333ii−i−i−i−iiiii−i−i00−i3−i3i3i3−2i2i00−3−333ii−i−i-2200000000000011-1-1i3i3−i3−i333−3−30000000000000000
χ4822-2-2-222-2-12-111-12-221-2-1-22-212i2i−2i−2i−2i−2i2i2i00-100−2i2ii3i3−i3−i3-111-1-11133−3−3ii−i−i−i−iiiii−i−i00i3i3−i3−i3−2i2i0033−3−3ii−i−i-2200000000000011-1-1−i3−i3i3i3−3−3330000000000000000
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χ602-22-22-22-222-222-2-222-2-222-2-2-2−2i2i−2i2i2i−2i2i−2i002−2i2i000000-222-22-2-2−2i2i−2i2i0000−2i2i−2i2i2i−2i2i−2i00000000−2i2i−2i2i−2i2i00000000002-200000000002-22-200000000000000000000
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χ632-22-22-22-2-121-1-11-2221-2-12-2-212i−2i2i−2i−2i2i−2i2i00-1−2i2i00−i3i3−i3i31-1-11-111i−ii−i−33−33−ii−iii−ii−i00−i3i3−i3i300−2i2ii−ii−i−33−33000000-22000000i3−i3i3−i31-11-13−33−30000000000000000
χ642-22-22-22-2-121-1-11-2221-2-12-2-212i−2i2i−2i−2i2i−2i2i00-1−2i2i00i3−i3i3−i31-1-11-111i−ii−i3−33−3−ii−iii−ii−i00i3−i3i3−i300−2i2ii−ii−i3−33−3000000-22000000−i3i3−i3i31-11-1−33−330000000000000000
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χ752-2-22-2-222-121111-2-22-12-1-2-22-12-2-222-2-22-22-100001-1-111111-1-1-1−i3i3i3−i3i3−i3−i3i3-111-1-111-1-221-1-110000−i3i3i3−i3i3−i3−i3i3000000000000-22i3−i3−i3i3−i3i3i3−i31-1-110000000000000000
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χ802-2-22-2-222-121111-2-22-12-1-2-22-1-222-2-222-2-22-100001-1-111111-1-1-1i3−i3−i3i3−i3i3i3−i31-1-111-1-11-221-1-110000i3−i3−i3i3−i3i3i3−i30000000000002-2i3−i3−i3i3−i3i3i3−i3-111-10000000000000000
χ812-2-2-222-2222-2-222-2-2-2-22-222-222-2-22-222-200200000000-2-222-22-2000000002-2-22-222-200000000000000000000000000002-20000000000000000002-20000002-200
χ822-2-2-222-2222-2-222-2-2-2-22-222-222-2-22-222-200200000000-2-222-22-2000000002-2-22-222-20000000000000000000000000000-22000000000000000000-22000000-2200
χ832-2-2-222-2222-2-222-2-2-2-22-222-22-222-22-2-2200200000000-2-222-22-200000000-222-22-2-2200000000000000000000000000002-20000000000000000002-2000000-2200
χ842-2-2-222-2222-2-222-2-2-2-22-222-22-222-22-2-2200200000000-2-222-22-200000000-222-22-2-220000000000000000000000000000-22000000000000000000-220000002-200
χ8544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000004414444-2-2-2-21111111-2-2-2-2-2-2-2-200000000-2-21111-2-2-2-211111111000000000000000000000000000000000000000000
χ8644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000441-4-4-4-4-2-2-2-211111112222222200000000-2-211112222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ8744444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-4-4144-4-422221111111-2-2-2-222220000000022-1-1-1-122-2-21111-1-1-1-1000000000000000000000000000000000000000000
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χ10044-4-4-444-4-2-2-222-2-22-222-22-22200000000001004i−4i2i32i3−2i3−2i31-1-111-1-1−23−232323−2i−2i2i2i0000000000−i3−i3i3i3−2i2i0033−3−3ii−i−i000000000000000000000000000000000000000000
χ10144-4-4-444-4-2-2-222-2-22-222-22-2220000000000100−4i4i−2i3−2i32i32i31-1-111-1-1−23−2323232i2i−2i−2i0000000000i3i3−i3−i32i−2i0033−3−3−i−iii000000000000000000000000000000000000000000
χ10244-4-4-444-4-2-2-222-2-22-222-22-2220000000000100−4i4i2i32i3−2i3−2i31-1-111-1-12323−23−232i2i−2i−2i0000000000−i3−i3i3i32i−2i00−3−333−i−iii000000000000000000000000000000000000000000
χ1034-444-44-4-44-2-44-442-2242-42-2-2-40000000000-2000000002-22-222-20000000000000000000000000000000000004-40000000000000000000000-2200000000000000
χ1044-444-44-4-44-2-44-442-2242-42-2-2-40000000000-2000000002-22-222-2000000000000000000000000000000000000-4400000000000000000000002-200000000000000
χ1054-444-44-4-4-242-22-2-44-4-2-42-44424i−4i4i−4i4i−4i4i−4i00-2000000002-22-222-200000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1064-444-44-4-4-242-22-2-44-4-2-42-4442−4i4i−4i4i−4i4i−4i4i00-2000000002-22-222-2000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000
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χ1094-44-44-44-4-2-22-2-222-2-222-2-2222000000000014i−4i00−2i32i3−2i32i3-111-11-1-1−2i2i−2i2i23−2323−230000000000i3−i3i3−i300−2i2ii−ii−i−33−33000000000000000000000000000000000000000000
χ1104-44-44-44-4-2-22-2-222-2-222-2-2222000000000014i−4i002i3−2i32i3−2i3-111-11-1-1−2i2i−2i2i−2323−23230000000000−i3i3−i3i300−2i2ii−ii−i3−33−3000000000000000000000000000000000000000000
χ1114-44-44-44-4-2-22-2-222-2-222-2-222200000000001−4i4i00−2i32i3−2i32i3-111-11-1-12i−2i2i−2i−2323−23230000000000i3−i3i3−i3002i−2i−ii−ii3−33−3000000000000000000000000000000000000000000
χ1124-44-44-44-4-2-22-2-222-2-222-2-222200000000001−4i4i002i3−2i32i3−2i3-111-11-1-12i−2i2i−2i23−2323−230000000000−i3i3−i3i3002i−2i−ii−ii−33−33000000000000000000000000000000000000000000
χ1134-4-44-4-4444-2-4-4-4-422-24-2422-24000000004-4-200004-4-442222-2-2-20000000000000000-22-222-2000000000000000000000000000000000000000000000000000000
χ1144-4-44-4-4444-2-4-4-4-422-24-2422-2400000000-44-20000-444-42222-2-2-200000000000000002-22-2-22000000000000000000000000000000000000000000000000000000
χ1154-4-44-4-444-2-2222222-2-2-2-222-2-2000000004-410000-222-2-1-1-1-1111−2i32i32i3−2i3−2i32i32i3−2i300000000-221-1-110000i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000000000
χ1164-4-44-4-444-2-2222222-2-2-2-222-2-2000000004-410000-222-2-1-1-1-11112i3−2i3−2i32i32i3−2i3−2i32i300000000-221-1-110000−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000000000
χ1174-4-44-4-444-2-2222222-2-2-2-222-2-200000000-44100002-2-22-1-1-1-1111−2i32i32i3−2i32i3−2i3−2i32i3000000002-2-111-10000i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000000000000000
χ1184-4-44-4-444-2-2222222-2-2-2-222-2-200000000-44100002-2-22-1-1-1-11112i3−2i3−2i32i3−2i32i32i3−2i3000000002-2-111-10000−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000000000000000
χ1194-4-4-444-444-2-4-444222-4-2-4-2-2240000000000-20000000022-2-22-22000000000000000000000000000000000000000000004-4000000000000000000-220000000000
χ1204-4-4-444-444-2-4-444222-4-2-4-2-2240000000000-20000000022-2-22-2200000000000000000000000000000000000000000000-440000000000000000002-20000000000
χ1214-4-4-444-44-2422-2-2-4-4-424244-4-24-4-44-444-400-20000000022-2-22-2200000000-222-22-2-22000000000000000000000000000000000000000000000000000000000000
χ1224-4-4-444-44-2422-2-2-4-4-424244-4-2-444-44-4-4400-20000000022-2-22-22000000002-2-22-222-2000000000000000000000000000000000000000000000000000000000000
χ123888-8-8-8-88-4-4-4-444-4-444-44444-4000000000020000000022-2-2-22-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-888-8-8-8-4-4-44-44-444-444-44-4400000000002000000002-22-2-2-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-888-88-8-8-4-44-44-44-44-4444-4-440000000000200000000-22-22-2-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-8-888-88-4-444-4-44444-44-4-44-40000000000200000000-2-222-22-20000000000000000000000000000000000000000000000000000000000000000000000000000

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