Finite Group Databasebeta

← Group #11819114

Character table — Group #11819114

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222244444444444444444444666666668888888888888888888881212121212121212121212121212121212121212121212122424242424242424242436363636363672
order12222222336666666666666634444666666612121212121212124444444441212121212121212121212121212121212121212224444441212121212121212121212121212121244661212121212124444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ5111111111111111111111111111-1-111111111111-1-1-1-111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111-1
χ6111111111111111111111111111-1-111111111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-111-1-11
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-11-1-111-1-1-1-1-1-111-1-11
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-111-1
χ91111111111111111111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1
χ101111111111111111111111111-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1111
χ111111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-1-1-1-1111
χ121111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11
χ141111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-11111-1
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-11-111-1-1-1-111-1-11111-1
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-11
χ17222222222-12222-1-12-1-12-1-1-12-12222-1-1-1-1-1-1-12222-1-1-1-1222200002-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122000022-1-1-1-1-1-1-1-10000000002-1-1-1-100000000000
χ18222222222-12222-1-12-1-12-1-1-12-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-200002-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-211111111000000000-2111100000000000
χ19222222222-12222-1-12-1-12-1-1-12-122-2-2-1-1-1-1-1-1-12222111122220000-2-1-111-2-2-2-2-1-1-1-111111111220000-2-2-1-1-1-11111000000000-2-1-11100000000000
χ20222222222-12222-1-12-1-12-1-1-12-122-2-2-1-1-1-1-1-1-122221111-2-2-2-20000-2-1-111-2-2-2-2-1-1-1-111111111-2-20000221111-1-1-1-1000000000211-1-100000000000
χ21222222222-12222-1-12-1-12-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122220000-2111122-2-21111-1-1-1-11111-2-2000022-1-1-1-1-1-1-1-1000000000-2111100000000000
χ22222222222-12222-1-12-1-12-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-2-2-20000-2111122-2-21111-1-1-1-11111220000-2-2111111110000000002-1-1-1-100000000000
χ23222222222-12222-1-12-1-12-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2111122220000211-1-1-2-22211111111-1-1-1-1-2-20000-2-2-1-1-1-11111000000000211-1-100000000000
χ24222222222-12222-1-12-1-12-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-20000211-1-1-2-22211111111-1-1-1-1220000221111-1-1-1-1000000000-2-1-11100000000000
χ2522222222-12-1-1-1-122-122-1222-1-12222-1-1-1-1-1-1-1-1-1-1-122220000222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022220000000000-1-1-1-1-1-1-1-1200000-1-1-1-10000000
χ2622222222-12-1-1-1-122-122-1222-1-12222-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2000000000011111111-20000011110000000
χ2722222222-12-1-1-1-122-122-1222-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200002222-222-2-21111-1-1-1-1111111110022-2-20000000000-1-1-1-1-1-1-1-1-20000011110000000
χ2822222222-12-1-1-1-122-122-1222-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-222-2-21111-1-1-1-11111111100-2-222000000000011111111200000-1-1-1-10000000
χ2922222222-12-1-1-1-122-122-1222-1-1-2-222-1-1-1-1-1-1-11111222200002222-2-2-2-2-2-1-1111111-1-1-1-1111100-2-2220000000000-1-1-1-11111-200000-1-1110000000
χ3022222222-12-1-1-1-122-122-1222-1-1-2-222-1-1-1-1-1-1-1111122220000-2-2-2-2-2-2-2-2-2-1-1111111-1-1-1-111110022-2-200000000001111-1-1-1-120000011-1-10000000
χ3122222222-12-1-1-1-122-122-1222-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2000022222-2-22211-1-111111111-1-1-1-100-2-2-2-20000000000-1-1-1-1111120000011-1-10000000
χ3222222222-12-1-1-1-122-122-1222-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-20000-2-2-2-22-2-22211-1-111111111-1-1-1-100222200000000001111-1-1-1-1-200000-1-1110000000
χ332222-2-2-2-22222-2-22-222-2-22-2-2-222-20022-2-2-22-222-2-2000022-2-2000002-200000022-2-2000000002-200000022-2-2000000000000002-20000000000000
χ342222-2-2-2-22222-2-22-222-2-22-2-2-222-20022-2-2-22-222-2-20000-2-222000002-200000022-2-200000000-22000000-2-22200000000000000-220000000000000
χ352222-2-2-2-22222-2-22-222-2-22-2-2-22-220022-2-2-22-2-2-222000022-2-200000-22000000-2-22200000000-2200000022-2-200000000000000-220000000000000
χ362222-2-2-2-22222-2-22-222-2-22-2-2-22-220022-2-2-22-2-2-2220000-2-22200000-22000000-2-222000000002-2000000-2-222000000000000002-20000000000000
χ372222-2-2-2-22-122-2-2-112-11-2-111-2-12-200-1-1111-1122-2-233−3−322-2-200000-113−30000-1-11133−3−333−3−32-2000000-1-11133−3−30000000000-113−300000000000
χ382222-2-2-2-22-122-2-2-112-11-2-111-2-12-200-1-1111-1122-2-233−3−3-2-22200000-113−30000-1-11133−3−333−3−3-2200000011-1-1−3−33300000000001-1−3300000000000
χ392222-2-2-2-22-122-2-2-112-11-2-111-2-12-200-1-1111-1122-2-2−3−33322-2-200000-11−330000-1-111−3−333−3−3332-2000000-1-111−3−3330000000000-11−3300000000000
χ402222-2-2-2-22-122-2-2-112-11-2-111-2-12-200-1-1111-1122-2-2−3−333-2-22200000-11−330000-1-111−3−333−3−333-2200000011-1-133−3−300000000001-13−300000000000
χ412222-2-2-2-22-122-2-2-112-11-2-111-2-1-2200-1-1111-11-2-22233−3−322-2-2000001-1−33000011-1-133−3−3−3−333-22000000-1-11133−3−300000000001-1−3300000000000
χ422222-2-2-2-22-122-2-2-112-11-2-111-2-1-2200-1-1111-11-2-22233−3−3-2-222000001-1−33000011-1-133−3−3−3−3332-200000011-1-1−3−3330000000000-113−300000000000
χ432222-2-2-2-22-122-2-2-112-11-2-111-2-1-2200-1-1111-11-2-222−3−33322-2-2000001-13−3000011-1-1−3−33333−3−3-22000000-1-111−3−33300000000001-13−300000000000
χ442222-2-2-2-22-122-2-2-112-11-2-111-2-1-2200-1-1111-11-2-222−3−333-2-222000001-13−3000011-1-1−3−33333−3−32-200000011-1-133−3−30000000000-11−3300000000000
χ4522-2-222-2-2222-22-222-2-22-2-2-2-22200002-22-2-2-22000000002i−2i2i−2i0000000000000000000000000002-200002i−2i2i−2i0000000022-2-2000000000000002i−2i0
χ4622-2-222-2-2222-22-222-2-22-2-2-2-22200002-22-2-2-22000000002i−2i2i−2i000000000000000000000000000-2200002i−2i2i−2i00000000-2-22200000000000000−2i2i0
χ4722-2-222-2-2222-22-222-2-22-2-2-2-22200002-22-2-2-2200000000−2i2i−2i2i0000000000000000000000000002-20000−2i2i−2i2i0000000022-2-200000000000000−2i2i0
χ4822-2-222-2-2222-22-222-2-22-2-2-2-22200002-22-2-2-2200000000−2i2i−2i2i000000000000000000000000000-220000−2i2i−2i2i00000000-2-222000000000000002i−2i0
χ4922-2-2-2-222222-2-222-2-2-2-22-222-2200002-2-222-2-2000000002i−2i−2i2i22-2-2000000000000000000000000000002i−2i−2i2i000022-2-2000000000000002i−2i00000
χ5022-2-2-2-222222-2-222-2-2-2-22-222-2200002-2-222-2-2000000002i−2i−2i2i-2-222000000000000000000000000000002i−2i−2i2i0000-2-22200000000000000−2i2i00000
χ5122-2-2-2-222222-2-222-2-2-2-22-222-2200002-2-222-2-200000000−2i2i2i−2i22-2-200000000000000000000000000000−2i2i2i−2i000022-2-200000000000000−2i2i00000
χ5222-2-2-2-222222-2-222-2-2-2-22-222-2200002-2-222-2-200000000−2i2i2i−2i-2-22200000000000000000000000000000−2i2i2i−2i0000-2-222000000000000002i−2i00000
χ532-22-2-22-2222-2-2-2-2-2-22222-22-222002-2-2-2-22-22200002-22-200002-22-2000002-20000002-22-2000000002-200000000002-22-200000000002-2000000000
χ542-22-2-22-2222-2-2-2-2-2-22222-22-222002-2-2-2-22-22200002-22-20000-22-22000002-20000002-22-200000000-220000000000-22-220000000000-22000000000
χ552-22-2-22-2222-2-2-2-2-2-22222-22-22200-22-2-2-22-2220000-22-2200002-22-200000-22000000-22-2200000000-2200000000002-22-20000000000-22000000000
χ562-22-2-22-2222-2-2-2-2-2-22222-22-22200-22-2-2-22-2220000-22-220000-22-2200000-22000000-22-22000000002-20000000000-22-2200000000002-2000000000
χ572-22-2-22-22-121111-2-2-122-1-22-2-1-1002-2111-11-1-1−i3i3−i3i32-22-200002-22-200000-11−i3i3−i3i3−i3i3-11-11−i3i3−i3i300002-20000000000-11-11−i3i3−i3i3000000-11−i3i30000000
χ582-22-2-22-22-121111-2-2-122-1-22-2-1-1002-2111-11-1-1−i3i3−i3i32-22-20000-22-2200000-11−i3i3−i3i3−i3i3-11-11−i3i3−i3i30000-2200000000001-11-1i3−i3i3−i30000001-1i3−i30000000
χ592-22-2-22-22-121111-2-2-122-1-22-2-1-1002-2111-11-1-1i3−i3i3−i32-22-200002-22-200000-11i3−i3i3−i3i3−i3-11-11i3−i3i3−i300002-20000000000-11-11i3−i3i3−i3000000-11i3−i30000000
χ602-22-2-22-22-121111-2-2-122-1-22-2-1-1002-2111-11-1-1i3−i3i3−i32-22-20000-22-2200000-11i3−i3i3−i3i3−i3-11-11i3−i3i3−i30000-2200000000001-11-1−i3i3−i3i30000001-1−i3i30000000
χ612-22-2-22-22-121111-2-2-122-1-22-2-1-100-22111-11-1-1−i3i3−i3i3-22-2200002-22-2000001-1i3−i3−i3i3−i3i31-11-1i3−i3i3−i30000-220000000000-11-11−i3i3−i3i30000001-1i3−i30000000
χ622-22-2-22-22-121111-2-2-122-1-22-2-1-100-22111-11-1-1−i3i3−i3i3-22-220000-22-22000001-1i3−i3−i3i3−i3i31-11-1i3−i3i3−i300002-200000000001-11-1i3−i3i3−i3000000-11−i3i30000000
χ632-22-2-22-22-121111-2-2-122-1-22-2-1-100-22111-11-1-1i3−i3i3−i3-22-2200002-22-2000001-1−i3i3i3−i3i3−i31-11-1−i3i3−i3i30000-220000000000-11-11i3−i3i3−i30000001-1−i3i30000000
χ642-22-2-22-22-121111-2-2-122-1-22-2-1-100-22111-11-1-1i3−i3i3−i3-22-220000-22-22000001-1−i3i3i3−i3i3−i31-11-1−i3i3−i3i300002-200000000001-11-1−i3i3−i3i3000000-11i3−i30000000
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χ784444-4-4-4-4-2-2-2-222-22-2-222-22221-440011-1-1-11-122-2-2−23−2323230000000002-223−230000-1-11133−3−3−3−33300000000000000000000000000000000000000000
χ7944-4-444-4-44-24-44-4-2-2-42-2-42224-20000-22-2222-2000000004i−4i4i−4i000000000000000000000000000000000−2i2i−2i2i00000000000000000000000000000
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χ8644-4-4-4-444-24-222-24-42-4-4-2-4442-20000-222-2-222000000000000-4-444000000000000000000000000000000000000022-2-2000000000000000000000
χ874-44-44-44-444-4-444-4444-4-4-4-44-440000-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ884-44-44-44-44-2-4-4442-24-22-422-2-4-2000022-22-2-22000023−23−232300000000000000000000023−23−2323000000000000000000000000000000000000000000000
χ894-44-44-44-44-2-4-4442-24-22-422-2-4-2000022-22-2-220000−232323−23000000000000000000000−232323−23000000000000000000000000000000000000000000000
χ904-44-44-44-4-2422-2-2-44-24-42-4-442-2000022-22-2-22−2i32i32i3−2i3000000000000000000000−2i32i32i3−2i30000000000000000000000000000000000000000000000000
χ914-44-44-44-4-2422-2-2-44-24-42-4-442-2000022-22-2-222i3−2i3−2i32i30000000000000000000002i3−2i3−2i32i30000000000000000000000000000000000000000000000000
χ924-44-44-44-4-2-222-2-22-2-2-22222-2210000-1-11-111-1−2i32i32i3−2i323−23−232300000000000000000i3−i3−i3i3−333−3−3i3i3i−3i00000000000000000000000000000000000000000
χ934-44-44-44-4-2-222-2-22-2-2-22222-2210000-1-11-111-1−2i32i32i3−2i3−232323−2300000000000000000i3−i3−i3i33−3−333i−3i−3i3i00000000000000000000000000000000000000000
χ944-44-44-44-4-2-222-2-22-2-2-22222-2210000-1-11-111-12i3−2i3−2i32i323−23−232300000000000000000−i3i3i3−i3−333−33i−3i−3i3i00000000000000000000000000000000000000000
χ954-44-44-44-4-2-222-2-22-2-2-22222-2210000-1-11-111-12i3−2i3−2i32i3−232323−2300000000000000000−i3i3i3−i33−3−33−3i3i3i−3i00000000000000000000000000000000000000000
χ964-44-4-44-444-2-4-4-4-4224-2-242-224-2004-4222-22-2-20000-22-2200000000000004-4000000-22-22000000000000000000000000000000000000000000000
χ974-44-4-44-444-2-4-4-4-4224-2-242-224-200-44222-22-2-200002-22-20000000000000-440000002-22-2000000000000000000000000000000000000000000000
χ984-44-4-44-44-2-2222222-2-2-2-22-22-21004-4-1-1-11-111−2i32i3−2i32i3-22-220000000000000-22−2i32i3i3−i3i3−i31-11-1i3−i3i3−i300000000000000000000000000000000000000000
χ994-44-4-44-44-2-2222222-2-2-2-22-22-21004-4-1-1-11-1112i3−2i32i3−2i3-22-220000000000000-222i3−2i3−i3i3−i3i31-11-1−i3i3−i3i300000000000000000000000000000000000000000
χ1004-44-4-44-44-2-2222222-2-2-2-22-22-2100-44-1-1-11-111−2i32i3−2i32i32-22-200000000000002-22i3−2i3i3−i3i3−i3-11-11−i3i3−i3i300000000000000000000000000000000000000000
χ1014-44-4-44-44-2-2222222-2-2-2-22-22-2100-44-1-1-11-1112i3−2i32i3−2i32-22-200000000000002-2−2i32i3−i3i3−i3i3-11-11i3−i3i3−i300000000000000000000000000000000000000000
χ1024-4-444-4-444-2-444-42-2-4224-2-22-4-200002-2-2-222200000000000000000000000000000000000000000004i−4i0000−2i2i−2i2i0000000000000000000000000
χ1034-4-444-4-444-2-444-42-2-4224-2-22-4-200002-2-2-22220000000000000000000000000000000000000000000−4i4i00002i−2i2i−2i0000000000000000000000000
χ1044-4-444-4-44-242-2-22-442-4-4-244-42-200002-2-2-22220000000000004-4-440000000000000000000000000000000000000-222-2000000000000000000000
χ1054-4-444-4-44-242-2-22-442-4-4-244-42-200002-2-2-2222000000000000-444-400000000000000000000000000000000000002-2-22000000000000000000000
χ1064-4-44-444-444-44-44-4-4-4-44-44-44440000-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-44-444-44-2-44-4422-42-2-4-22-24-200002-222-22-20000000000000000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000
χ1084-4-44-444-44-2-44-4422-42-2-4-22-24-200002-222-22-200000000000000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000
χ1094-4-44-444-4-242-22-2-4-42-4424-44-2-200002-222-22-2000000000000000000000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000
χ1104-4-44-444-4-242-22-2-4-42-4424-44-2-200002-222-22-20000000000000000000000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000
χ11188-8-888-8-8-4-4-44-44-4-444-44444-4200002-22-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-8-888-4-4-444-4-44444-44-4-44200002-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-888-8-88-4-44-4-444-4444-4-4-44420000-2222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-888-8-4-44-44-44444-44-44-4-420000-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000

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