Finite Group Databasebeta

← Group #11895431

Character table — Group #11895431

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order122233444466666612121212344466612121212121212121212121288884121212121212121212121212121212121212121212448888882424242424242424444422266121224242424446644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111-1-111111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1
χ6111111111111111111111-1-111111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111-1-11111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-111
χ8111111111111111111111-1-11111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1
χ9111111-1-111111111-1-1-1-1111-1111-1-11-1-1-1-1-1-11111111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-11-1-1-11111-1-11-11-11-1
χ10111111-1-111111111-1-1-1-1111-1111-1-11-1-1-1-1-1-11111111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11-1-111-1-111-11-11-11
χ11111111-1-111111111-1-1-1-1111-1111-1-11-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-111-1-111-1-1-111-1-11
χ12111111-1-111111111-1-1-1-1111-1111-1-11-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-11-1111-1-1-1-1111-1-111-1
χ13111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-111111111-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11-1111-1-111-1-11-1-11-11
χ14111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-111111111-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-111-1-1-1-111-111-11-1
χ15111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-11-1-11111-1-1-11-111-1
χ16111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-11-1-1-111-1-1111-11-1-11
χ1722222222-2-22222222222200-222222-2-2-22222-2-2-200000-200000000-2-2-2-2000000000000000000000000222200000000000-2-20000
χ1822222222-2-22222222222200-222222-2-2-22222-2-2-200000-200000000-2-2-2-2000000000000000000000000-2-2-2-200000000000220000
χ19222222-2-2-2-2222222-2-2-2-22002222-2-2-222-2-2-2-2-2-2-200000200000000-2-22200000000000000000000000022-2-200000000000-220000
χ20222222-2-2-2-2222222-2-2-2-22002222-2-2-222-2-2-2-2-2-2-200000200000000-2-222000000000000000000000000-2-222000000000002-20000
χ2122222-12222-122-1-122222-1222-1-1-1-1-1-122-1-1-1-122-100002-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000000220000-1-1-1-100-1-100
χ2222222-12222-122-1-122222-1222-1-1-1-1-1-122-1-1-1-122-100002-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000000-2-200001111001100
χ2322222-12222-122-1-122222-1-2-22-1-1-1-1-1-122-1-1-1-122-10000-2-1-2-211-2-211-1-1-1-111111111000022220000000000000-2-20000-1-1-1-1001100
χ2422222-12222-122-1-122222-1-2-22-1-1-1-1-1-122-1-1-1-122-10000-2-1-2-211-2-211-1-1-1-1111111110000-2-2-2-20000000000000220000111100-1-100
χ2522222-1-2-222-122-1-12-2-2-2-2-122-2-1-1-111-1-2-2111122-10000-2122-1-1-2-211-1-111-1-1-1-11111000022-2-200000000000002-20000-1-11100-1100
χ2622222-1-2-222-122-1-12-2-2-2-2-122-2-1-1-111-1-2-2111122-10000-2122-1-1-2-211-1-111-1-1-1-111110000-2-2220000000000000-22000011-1-1001-100
χ2722222-1-2-222-122-1-12-2-2-2-2-1-2-2-2-1-1-111-1-2-2111122-1000021-2-21122-1-1-1-1111111-1-1-1-1000022-2-20000000000000-220000-1-111001-100
χ2822222-1-2-222-122-1-12-2-2-2-2-1-2-2-2-1-1-111-1-2-2111122-1000021-2-21122-1-1-1-1111111-1-1-1-10000-2-22200000000000002-2000011-1-100-1100
χ292222-1222222-1-122-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000200-1-1-1-10000000000
χ302222-1222222-1-122-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-12-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000-20011110000000000
χ312222-1222222-1-122-1-1-1-1-1-1-2-22-1-1-1222-1-1-1-1-1-1-1-122222-2211-2-211-2-2-1-1-1-111111111-2-2220000-1-1-1-1-1-1-1-10000-20011110000000000
χ322222-1222222-1-122-1-1-1-1-1-1-2-22-1-1-1222-1-1-1-1-1-1-1-12-2-2-2-2-2211-2-211-2-2-1-1-1-11111111122-2-20000111111110000200-1-1-1-10000000000
χ332222-12-2-2222-1-122-11111-122-2-1-1-1-2-22111111-1-122222-2-2-1-12211-2-2-1-111-1-1-1-1111122-2-20000-1-1-1-111110000-20011-1-10000000000
χ342222-12-2-2222-1-122-11111-122-2-1-1-1-2-22111111-1-12-2-2-2-2-2-2-1-12211-2-2-1-111-1-1-1-11111-2-22200001111-1-1-1-10000200-1-1110000000000
χ352222-12-2-2222-1-122-11111-1-2-2-2-1-1-1-2-22111111-1-1222222-211-2-2-1-122-1-1111111-1-1-1-1-2-2-2-20000-1-1-1-111110000200-1-1110000000000
χ362222-12-2-2222-1-122-11111-1-2-2-2-1-1-1-2-22111111-1-12-2-2-2-22-211-2-2-1-122-1-1111111-1-1-1-1222200001111-1-1-1-10000-20011-1-10000000000
χ3722-2-22200-22-22-22-2-2000022-20-22-200-20000002-222i2i−2i−2i002-22-200002-20022-2-200002i−2i0000002i2i−2i−2i00000000000002i−2i0000000000
χ3822-2-22200-22-22-22-2-2000022-20-22-200-20000002-22−2i−2i2i2i002-22-200002-20022-2-20000−2i2i000000−2i−2i2i2i0000000000000−2i2i0000000000
χ3922-2-22200-22-22-22-2-200002-220-22-200-20000002-222i2i−2i−2i00-22-2200002-200-2-2220000−2i2i0000002i2i−2i−2i0000000000000−2i2i0000000000
χ4022-2-22200-22-22-22-2-200002-220-22-200-20000002-22−2i−2i2i2i00-22-2200002-200-2-22200002i−2i000000−2i−2i2i2i00000000000002i−2i0000000000
χ4122-2-2-1200-22-2-112-2133−3−3-12-201-1100-23−333−3−3-1122i2i−2i−2i00-112-23−300-113−3-1-11133−3−32i−2i000000−i−iii−i3−i3i3i30000000−i3i3−ii0000000000
χ4222-2-2-1200-22-2-112-2133−3−3-12-201-1100-23−333−3−3-112−2i−2i2i2i00-112-23−300-113−3-1-11133−3−3−2i2i000000ii−i−ii3i3−i3−i30000000i3−i3i−i0000000000
χ4322-2-2-1200-22-2-112-2133−3−3-1-2201-1100-23−333−3−3-1122i2i−2i−2i001-1-22−3300-113−311-1-1−3−333−2i2i000000−i−iii−i3−i3i3i30000000i3−i3i−i0000000000
χ4422-2-2-1200-22-2-112-2133−3−3-1-2201-1100-23−333−3−3-112−2i−2i2i2i001-1-22−3300-113−311-1-1−3−3332i−2i000000ii−i−ii3i3−i3−i30000000−i3i3−ii0000000000
χ4522-2-2-1200-22-2-112-21−3−333-12-201-1100-2−33−3−333-1122i2i−2i−2i00-112-2−3300-11−33-1-111−3−3332i−2i000000−i−iiii3i3−i3−i30000000i3−i3−ii0000000000
χ4622-2-2-1200-22-2-112-21−3−333-12-201-1100-2−33−3−333-112−2i−2i2i2i00-112-2−3300-11−33-1-111−3−333−2i2i000000ii−i−i−i3−i3i3i30000000−i3i3i−i0000000000
χ4722-2-2-1200-22-2-112-21−3−333-1-2201-1100-2−33−3−333-1122i2i−2i−2i001-1-223−300-11−3311-1-133−3−3−2i2i000000−i−iiii3i3−i3−i30000000−i3i3i−i0000000000
χ4822-2-2-1200-22-2-112-21−3−333-1-2201-1100-2−33−3−333-112−2i−2i2i2i001-1-223−300-11−3311-1-133−3−32i−2i000000ii−i−i−i3−i3i3i30000000i3−i3−ii0000000000
χ492-22-2222-2002-2-2-2-222-22-220002-2-22-20002-22-2000−i2i2−i2i2000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-22-20000000−i2i2−i2i2000000
χ502-22-2222-2002-2-2-2-222-22-220002-2-22-20002-22-2000−i2i2−i2i2000000000000000000000000−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2-22-220000000i2−i2i2−i2000000
χ512-22-2222-2002-2-2-2-222-22-220002-2-22-20002-22-2000i2−i2i2−i2000000000000000000000000i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2-22-220000000−i2i2−i2i2000000
χ522-22-2222-2002-2-2-2-222-22-220002-2-22-20002-22-2000i2−i2i2−i2000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-22-20000000i2−i2i2−i2000000
χ532-22-222-22002-2-2-2-22-22-2220002-2-2-22000-22-22000−i2i2−i2i2000000000000000000000000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i22-2-220000000−i2i2i2−i2000000
χ542-22-222-22002-2-2-2-22-22-2220002-2-2-22000-22-22000−i2i2−i2i2000000000000000000000000i2−i2i2−i2−i2i2−i2i2−i2i2i2−i2i2−i2-222-20000000i2−i2−i2i2000000
χ552-22-222-22002-2-2-2-22-22-2220002-2-2-22000-22-22000i2−i2i2−i2000000000000000000000000−i2i2−i2i2i2−i2i2−i2i2−i2−i2i2−i2i2-222-20000000−i2i2i2−i2000000
χ562-22-222-22002-2-2-2-22-22-2220002-2-2-22000-22-22000i2−i2i2−i2000000000000000000000000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i22-2-220000000i2−i2−i2i2000000
χ5744444-244-4-4-244-2-244444-200-4-2-2-2-2-22-4-4-2-2-2-2-4-42000002000000002222000000000000000000000000000000000000000000000
χ5844444-2-4-4-4-4-244-2-24-4-4-4-4-2004-2-2-2222442222-4-4200000-20000000022-2-2000000000000000000000000000000000000000000000
χ594444-2444-4-44-2-244-2-2-2-2-2-200-4-2-2-244-422-2-2-2-222-400000-4000000002222000000000000000000000000000000000000000000000
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χ614444-2-24444-2-2-2-2-2-2-2-2-2-21444111-2-2-2-2-21111-2-2-200004-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000
χ624444-2-24444-2-2-2-2-2-2-2-2-2-21-4-44111-2-2-2-2-21111-2-2-20000-4-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ634444-2-244-4-4-2-2-2-2-2-2-2-2-2-2100-4111-2-2222111122200000200000000-1-1-1-13-33-33-33-30000000000000000000000000000000000000
χ644444-2-244-4-4-2-2-2-2-2-2-2-2-2-2100-4111-2-2222111122200000200000000-1-1-1-1-33-33-33-330000000000000000000000000000000000000
χ654444-2-2-4-444-2-2-2-2-2-22222144-411122-222-1-1-1-1-2-2-20000-42-2-2-2-2222211-1-11111-1-1-1-10000000000000000000000000000000000000
χ664444-2-2-4-444-2-2-2-2-2-222221-4-4-411122-222-1-1-1-1-2-2-20000422222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
χ674444-2-2-4-4-4-4-2-2-2-2-2-222221004111222-2-2-1-1-1-122200000-200000000-1-1113-33-3-33-330000000000000000000000000000000000000
χ684444-2-2-4-4-4-4-2-2-2-2-2-222221004111222-2-2-1-1-1-122200000-200000000-1-111-33-333-33-30000000000000000000000000000000000000
χ6944-4-444004-4-44-44-4-400004000-44-4004000000-44-400000000000000-4400000000000000000000000000000000000000000000000
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χ8344-4-4-2-200-442-22-222−23−2323231-440-11-1002−232333−3−3-22-20000002-22-223−23001-13−3-1-111−3−3330000000000000000000000000000000000000
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χ894-44-4-244-400422-4-4-2-22-22-2000-2224-4000-22-220002i2−2i22i2−2i20000000000000000000000002i2−2i20000−i2i2−i2i2−i2i2−i2i2000000000000000000000
χ904-44-4-24-4400422-4-4-22-22-2-2000-222-440002-22-2000−2i22i2−2i22i20000000000000000000000002i2−2i20000i2−i2i2−i2−i2i2−i2i2000000000000000000000
χ914-44-4-24-4400422-4-4-22-22-2-2000-222-440002-22-20002i2−2i22i2−2i2000000000000000000000000−2i22i20000−i2i2−i2i2i2−i2i2−i2000000000000000000000
χ924-4-44440000-4-44-44-400004000-4-4400000000000022−22−222200000000000000000000000000000022−22−22220000000000000000000000000
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χ988-88-8-4-48-800-44444-4-44-4420002-2-2-440002-22-2000000000000000000000000000000000000000000000000000000000000000000
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χ1018-8-88-4-4000044-44-4443−43−43432000-2-2200000−232323−23000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4000044-44-44−434343−432000-2-220000023−23−2323000000000000000000000000000000000000000000000000000000000000000000

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