Finite Group Databasebeta

← Group #11895485

Character table — Group #11895485

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444444666666668888888888888888888812121212121212121212121212121212121224242424242424242424242424363636367272
order1222334444666666121212123444666121212121212121212121212121212124444888841212121212121212121212121212121212121244448812121212242424242424242444412121212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-11111-1-1-1-111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-111111-1-1-1-1111111111111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111111111-1-111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111
χ71111111111111111111111-1-111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111111-1-1
χ9111111-1-111111111-1-1-1-11-111111111111-1-1-1-1-1-1-1-11111-1-11111-111-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-11111-1-1-1-11-1-111-1-11-111-1-111-1-11-1
χ10111111-1-111111111-1-1-1-11-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-111111-11-1-1111-111-1-1-1-111-11
χ11111111-1-111111111-1-1-1-11-111111111111-1-1-1-1-1-1-1-111-1-1111111-111-1-1-1-1-111-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-11-111-1-1-11-1-111-1-111-11
χ12111111-1-111111111-1-1-1-11-111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111-1-1-1-11111-111-1-111-11-1-11111-1-11-1
χ13111111-1-111111111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-111-11111-1-1-1-1-1-111111-1-1-1-1-111-1-11111-1-1-1-1-111-1-1111-1-1-11111-1-1-11
χ14111111-1-111111111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-111-11111-1-1-1-1-1-111111-1111111-1-1-1-1-1-11111-11-111-1-11-1-1-111-1-1111-1
χ15111111-1-111111111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-111-11111-1-1-1-1-1-11111-11-1-1-1-1-1-1111111-1-1-1-11-11-1-111-1111-1-1-1-1111-1
χ16111111-1-111111111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-111-11111-1-1-1-1-1-11111-111111-1-111-1-1-1-111111-1-111-1-1-1111-1-111-1-1-11
χ1722222222-2-222222222222-200222-2-2000022-2-22222-2-22222000000000-200-2-2-2-200000000-2-200002222000000000000000-2-20000000000
χ1822222222-2-222222222222-200222-2-2000022-2-22222-2-2-2-2-2-2000000000-200-2-2-2-200000000220000-2-2-2-2000000000000000220000000000
χ19222222-2-2-2-2222222-2-2-2-22200222-2-20000-2-222-2-2-2-2-2-222-2-2000000000200-2-22200000000-22000022-2-2000000000000000-220000000000
χ20222222-2-2-2-2222222-2-2-2-22200222-2-20000-2-222-2-2-2-2-2-2-2-222000000000200-2-222000000002-20000-2-2220000000000000002-20000000000
χ2122222-122222-1-122-12222-1222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222000022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-1000000002200000-1-1-1-1-1-1000000
χ2222222-122222-1-122-12222-1222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-2-2000022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000111100000000-2-200000111111000000
χ2322222-122222-1-122-12222-12-2-2-1-1-1-1-11111-1-122-1-1-1-12222220000-2-2-2-2-2-111-1-1-1-111111111220000-1-1-1-100000000-2-200000-1-11111000000
χ2422222-122222-1-122-12222-12-2-2-1-1-1-1-11111-1-122-1-1-1-122-2-2-2-20000-2-2-2-2-2-111-1-1-1-111111111-2-20000111100000000220000011-1-1-1-1000000
χ2522222-122-2-22-1-122-12222-1-200-1-1-111−i3−i3i3i3-1-1-2-2-1-1-1-1-2-222220000000001−i3i31111−i3−i3i3i3−i3−i3i3i3-2-20000-1-1-1-100000000000000011−i3i3−i3i3000000
χ2622222-122-2-22-1-122-12222-1-200-1-1-111−i3−i3i3i3-1-1-2-2-1-1-1-1-2-2-2-2-2-20000000001−i3i31111−i3−i3i3i3−i3−i3i3i32200001111000000000000000-1-1i3−i3i3−i3000000
χ2722222-122-2-22-1-122-12222-1-200-1-1-111i3i3−i3−i3-1-1-2-2-1-1-1-1-2-222220000000001i3−i31111i3i3−i3−i3i3i3−i3−i3-2-20000-1-1-1-100000000000000011i3−i3i3−i3000000
χ2822222-122-2-22-1-122-12222-1-200-1-1-111i3i3−i3−i3-1-1-2-2-1-1-1-1-2-2-2-2-2-20000000001i3−i31111i3i3−i3−i3i3i3−i3−i32200001111000000000000000-1-1−i3i3−i3i3000000
χ2922222-1-2-2222-1-122-1-2-2-2-2-1-222-1-1-1-1-1-1-1-1-111-2-211112222-2-20000-222-2-2111-1-111-1-1-1-111112-20000-1-111000000002-200000-11-1-111000000
χ3022222-1-2-2222-1-122-1-2-2-2-2-1-222-1-1-1-1-1-1-1-1-111-2-2111122-2-2220000-222-2-2111-1-111-1-1-1-11111-22000011-1-100000000-22000001-111-1-1000000
χ3122222-1-2-2222-1-122-1-2-2-2-2-1-2-2-2-1-1-1-1-1111111-2-211112222-2-200002-2-2221-1-1-1-1111111-1-1-1-12-20000-1-11100000000-2200000-1111-1-1000000
χ3222222-1-2-2222-1-122-1-2-2-2-2-1-2-2-2-1-1-1-1-1111111-2-2111122-2-22200002-2-2221-1-1-1-1111111-1-1-1-1-22000011-1-1000000002-2000001-1-1-111000000
χ3322222-1-2-2-2-22-1-122-1-2-2-2-2-1200-1-1-111−i3−i3i3i311221111-2-222-2-2000000000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-220000-1-1110000000000000001-1−i3i3i3−i3000000
χ3422222-1-2-2-2-22-1-122-1-2-2-2-2-1200-1-1-111−i3−i3i3i311221111-2-2-2-222000000000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-2000011-1-1000000000000000-11i3−i3−i3i3000000
χ3522222-1-2-2-2-22-1-122-1-2-2-2-2-1200-1-1-111i3i3−i3−i311221111-2-222-2-2000000000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-220000-1-1110000000000000001-1i3−i3−i3i3000000
χ3622222-1-2-2-2-22-1-122-1-2-2-2-2-1200-1-1-111i3i3−i3−i311221111-2-2-2-222000000000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-2000011-1-1000000000000000-11−i3i3i3−i3000000
χ372222-122222-122-1-12-1-1-1-1-1222-1-1-122222222-1-1-1-1-1-1-1-1000022222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-1002-1-1-1-1000000000000
χ382222-122222-122-1-12-1-1-1-1-1222-1-1-122222222-1-1-1-1-1-1-1-10000-2-2-2-22-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200001111111100-21111000000000000
χ392222-122222-122-1-12-1-1-1-1-12-2-2-1-1-122-2-2-2-222-1-1-1-1-1-1-1-100002222-211112-2-2-1-1-1-11111111100-2-2220000-1-1-1-1-1-1-1-100-21111000000000000
χ402222-122222-122-1-12-1-1-1-1-12-2-2-1-1-122-2-2-2-222-1-1-1-1-1-1-1-10000-2-2-2-2-211112-2-2-1-1-1-1111111110022-2-2000011111111002-1-1-1-1000000000000
χ412222-12-2-222-122-1-121111-1-222-1-1-1222222-2-2111111-1-100002222-2-1-111-2-2-2-1-111-1-1-1-111110022-2-20000-1-1-1-1111100-2-1-111000000000000
χ422222-12-2-222-122-1-121111-1-222-1-1-1222222-2-2111111-1-10000-2-2-2-2-2-1-111-2-2-2-1-111-1-1-1-1111100-2-22200001111-1-1-1-100211-1-1000000000000
χ432222-12-2-222-122-1-121111-1-2-2-2-1-1-122-2-2-2-2-2-2111111-1-100002222211-1-1-222-1-1111111-1-1-1-100-2-2-2-20000-1-1-1-1111100211-1-1000000000000
χ442222-12-2-222-122-1-121111-1-2-2-2-1-1-122-2-2-2-2-2-2111111-1-10000-2-2-2-2211-1-1-222-1-1111111-1-1-1-100222200001111-1-1-1-100-2-1-111000000000000
χ4522-2-2222-2002-22-2-2-222-2-220002-2-20000002-20022-2-2002-22-222−2−20000000000000000000000002−22-22-222−2−222−2−200000000000002−22−200
χ4622-2-2222-2002-22-2-2-222-2-220002-2-20000002-20022-2-2002-22-2−2−222000000000000000000000000−222-22-2−2−222−2−2220000000000000−22−2200
χ4722-2-2222-2002-22-2-2-222-2-220002-2-20000002-20022-2-200-22-2222−2−20000000000000000000000002−2-22-2222−2−222−2−20000000000000−22−2200
χ4822-2-2222-2002-22-2-2-222-2-220002-2-20000002-20022-2-200-22-22−2−222000000000000000000000000−22-22-22−2−222−2−22200000000000002−22−200
χ4922-2-222-22002-22-2-2-2-2-22220002-2-2000000-2200-2-222002-2-2222−2−2000000000000000000000000−222-2-2222−2−2−2−22200000000000002−2−2200
χ5022-2-222-22002-22-2-2-2-2-22220002-2-2000000-2200-2-222002-2-22−2−2220000000000000000000000002−22-2-22−2−22222−2−20000000000000−222−200
χ5122-2-222-22002-22-2-2-2-2-22220002-2-2000000-2200-2-22200-222-222−2−2000000000000000000000000−22-222-222−2−2−2−2220000000000000−222−200
χ5222-2-222-22002-22-2-2-2-2-22220002-2-2000000-2200-2-22200-222-2−2−2220000000000000000000000002−2-222-2−2−22222−2−200000000000002−2−2200
χ532-2-222200-22-22-22-2-20000202-2-22-22-22-22-2000000002-200002i−2i2i−2i02-2000002-2002-22-20000002i−2i0000002i−2i2i−2i00000002i−2i00000000000000
χ542-2-222200-22-22-22-2-20000202-2-22-22-22-22-2000000002-20000−2i2i−2i2i02-2000002-2002-22-2000000−2i2i000000−2i2i−2i2i0000000−2i2i00000000000000
χ552-2-222200-22-22-22-2-2000020-22-22-22-2-22-22000000002-200002i−2i2i−2i0-22000002-200-22-22000000−2i2i0000002i−2i2i−2i0000000−2i2i00000000000000
χ562-2-222200-22-22-22-2-2000020-22-22-22-2-22-22000000002-20000−2i2i−2i2i0-22000002-200-22-220000002i−2i000000−2i2i−2i2i00000002i−2i00000000000000
χ572-2-22-1200-2212-2-11-23−33−3-102-21-112-22-22-2003−33−33−3-1100002i−2i2i−2i0-113−3000-113−3-11-113−33−3002i−2i000000−ii−ii−i3i3−i3i3000−ii−i3i3000000000000
χ582-2-22-1200-2212-2-11-23−33−3-102-21-112-22-22-2003−33−33−3-110000−2i2i−2i2i0-113−3000-113−3-11-113−33−300−2i2i000000i−ii−ii3−i3i3−i3000i−ii3−i3000000000000
χ592-2-22-1200-2212-2-11-23−33−3-10-221-112-2-22-22003−33−33−3-1100002i−2i2i−2i01-1−33000-113−31-11-1−33−3300−2i2i000000−ii−ii−i3i3−i3i3000i−ii3−i3000000000000
χ602-2-22-1200-2212-2-11-23−33−3-10-221-112-2-22-22003−33−33−3-110000−2i2i−2i2i01-1−33000-113−31-11-1−33−33002i−2i000000i−ii−ii3−i3i3−i3000−ii−i3i3000000000000
χ612-2-22-1200-2212-2-11-2−33−33-102-21-112-22-22-200−33−33−33-1100002i−2i2i−2i0-11−33000-11−33-11-11−33−33002i−2i000000−ii−iii3−i3i3−i3000−iii3−i3000000000000
χ622-2-22-1200-2212-2-11-2−33−33-102-21-112-22-22-200−33−33−33-110000−2i2i−2i2i0-11−33000-11−33-11-11−33−3300−2i2i000000i−ii−i−i3i3−i3i3000i−i−i3i3000000000000
χ632-2-22-1200-2212-2-11-2−33−33-10-221-112-2-22-2200−33−33−33-1100002i−2i2i−2i01-13−3000-11−331-11-13−33−300−2i2i000000−ii−iii3−i3i3−i3000i−i−i3i3000000000000
χ642-2-22-1200-2212-2-11-2−33−33-10-221-112-2-22-2200−33−33−33-110000−2i2i−2i2i01-13−3000-11−331-11-13−33−3002i−2i000000i−ii−i−i3i3−i3i3000−iii3−i3000000000000
χ654444-2444-4-4-244-2-24-2-2-2-2-2-400-2-2-2-4-400004422-2-2-2-2220000000000000-4002222000000000000000000000000000000000000000000000
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χ684444-2-24444-2-2-2-2-2-2-2-2-2-214-4-4111-2-22222-2-2-2-21111-2-200000000-42222-2221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
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χ714444-2-2-4-444-2-2-2-2-2-222221-444111-2-2-2-2-2-22222-1-1-1-1-2-200000000-4-2-22222211-1-11111-1-1-1-10000000000000000000000000000000000000
χ724444-2-2-4-444-2-2-2-2-2-222221-4-4-4111-2-222222222-1-1-1-1-2-200000000422-2-22-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
χ734444-2-2-4-4-4-4-2-2-2-2-2-22222140011122−2i3−2i32i32i322-2-2-1-1-1-1220000000000000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000000
χ744444-2-2-4-4-4-4-2-2-2-2-2-222221400111222i32i3−2i3−2i322-2-2-1-1-1-1220000000000000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000
χ7544-4-44-24-40042-2-4-4244-4-4-2000-222000000-2200-2-222004-44-4000000000000000000000000000000-22-22000000000000000000000000000
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χ8144-4-4-24-4400-2-4422-422-2-2-2000-222000000-440022-2-20000002222−22−22000000000000000000000000−22220000−2−22222−2−20000000000000000000
χ8244-4-4-24-4400-2-4422-422-2-2-2000-222000000-440022-2-2000000−22−22222200000000000000000000000022−22000022−2−2−2−2220000000000000000000
χ834-44-4440000-4-4-4-44400004000-4-4400000000000000000000−2i22i22i2−2i2000000000000000000000000000000−2i22i22i2−2i200000000000000000000000
χ844-44-4440000-4-4-4-44400004000-4-44000000000000000000002i2−2i2−2i22i20000000000000000000000000000002i2−2i2−2i22i200000000000000000000000
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χ864-44-4-2400002-4-42-2423−23−2323-200022-2000000000023−23−23230000002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i2−i6i6i6−i60000000000000000000
χ874-44-4-2400002-4-42-24−232323−23-200022-20000000000−232323−23000000−2i22i22i2−2i2000000000000000000000000000000i2−i2−i2i2−i6i6i6−i60000000000000000000
χ884-44-4-2400002-4-42-24−232323−23-200022-20000000000−232323−230000002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i2i6−i6−i6i60000000000000000000
χ894-4-4444004-4-44-44-4-400004000-44-4-44000000000000-440000000000000000-4400000000000000000000000000000000000000000000000
χ904-4-444-2004-4-4-224-420000-20002-222-2−2i32i32i3−2i300000000-4400000000000000002-200−2i32i32i3−2i300000000000000000000000000000000000000000
χ914-4-444-2004-4-4-224-420000-20002-222-22i3−2i3−2i32i300000000-4400000000000000002-2002i3−2i3−2i32i300000000000000000000000000000000000000000
χ924-4-444-200-44-4-224-420000-204-42-22-22-22-22000000004-40000000004-400000-2200-22-2200000000000000000000000000000000000000000
χ934-4-444-200-44-4-224-420000-20-442-22-222-22-2000000004-4000000000-4400000-22002-22-200000000000000000000000000000000000000000
χ944-4-44-24004-424-4-22-423−2323−23-20002-22-44000000−232323−2323−232-200000000000000002-2−2323000000000000000000000000000000000000000000000
χ954-4-44-24004-424-4-22-4−2323−2323-20002-22-4400000023−23−2323−23232-200000000000000002-223−23000000000000000000000000000000000000000000000
χ964-4-44-2-2004-42-22-22223−2323−231000-11-12-2−2i32i32i3−2i300−2323−33−332-20000000000000000-113−3i3−i3−i3i3−3i3i3i−3i0000000000000000000000000000000000000
χ974-4-44-2-2004-42-22-22223−2323−231000-11-12-22i3−2i3−2i32i300−2323−33−332-20000000000000000-113−3−i3i3i3−i33i−3i−3i3i0000000000000000000000000000000000000
χ984-4-44-2-2004-42-22-222−2323−23231000-11-12-2−2i32i32i3−2i30023−233−33−32-20000000000000000-11−33i3−i3−i3i33i−3i−3i3i0000000000000000000000000000000000000
χ994-4-44-2-2004-42-22-222−2323−23231000-11-12-22i3−2i3−2i32i30023−233−33−32-20000000000000000-11−33−i3i3i3−i3−3i3i3i−3i0000000000000000000000000000000000000
χ1004-4-44-2-200-442-22-22223−2323−23104-4-11-1-22-22-220023−23−33−33-22000000000-2223−230001-1−331-11-1−33−330000000000000000000000000000000000000
χ1014-4-44-2-200-442-22-22223−2323−2310-44-11-1-222-22-20023−23−33−33-220000000002-2−23230001-1−33-11-113−33−30000000000000000000000000000000000000
χ1024-4-44-2-200-442-22-222−2323−2323104-4-11-1-22-22-2200−23233−33−3-22000000000-22−23230001-13−31-11-13−33−30000000000000000000000000000000000000
χ1034-4-44-2-200-442-22-222−2323−232310-44-11-1-222-22-200−23233−33−3-220000000002-223−230001-13−3-11-11−33−330000000000000000000000000000000000000
χ10488-8-8-4-48-800-44-4444-4-44420002-2-2000000-440022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-8800-44-444444-4-420002-2-20000004-400-2-2220000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-88-40000-844-88-40000-400044-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-400004444-4-443−43−43432000-2-220000000000−232323−230000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-400004444-4-4−434343−432000-2-22000000000023−23−23230000000000000000000000000000000000000000000000000000000000000000000

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