Finite Group Databasebeta

← Group #11889400

Character table — Group #11889400

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444444488888888888888888888121212121212121212121212121212121212121212122424242424242424242424242472727272
order12222233446666666666344466666666612121212121212121212412121212121212121212121212121212121212244444888812121212242424242424242444461212121212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1
χ6111111111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-111
χ7111111111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-111
χ8111111111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-11111-1-1-1-111-1-1
χ91111-1-111111-1-1-1-111111111-1-1-11-1-1-1-1111111111-1-11-111-1-1-1-1-111-1-11111-1-1-1-11-1-111111-1-1-1-1111111-1-1-1-11-1-11-111-1-111-1-1-11-11
χ101111-1-111111-1-1-1-111111111-1-1-11-1-1-1-1111111111-1-11-111-1-1-1-1-111-1-11111-1-1-1-11-1-11-1-1-1-111-1-111-1-1-1-111111-111-111-1-1-1-1111-11-1
χ111111-1-111111-1-1-1-111111111-1-1-11-1-1-1-1111111111-1-11-111-1-1-1-1-111-1-11111-1-1-1-1-111-11111-1-111-1-11111-1-1-1-1-11-1-11-1-11111-1-11-11-1
χ121111-1-111111-1-1-1-111111111-1-1-11-1-1-1-1111111111-1-11-111-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-11111-111-11-1-111-1-111-11-11
χ131111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-111-1-11111-111-1-1-1-1-1-111111-1-1111-1-111-1-111-1-1-1-11111-11-11-1-1-11111-1-1-111-1
χ141111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-111-1-11111-111-1-1-1-1-1-111111-1-11-1-111-1-1-1-1111111-1-1-1-1-1111-1-1-111-1-1111-1-11
χ151111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-111-1-11111-111-1-1-1-1-1-11111-111-111-1-11111-1-1-1-1-1-111111-1-1-1111-1-111-1-11-1-11
χ161111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-111-1-11111-111-1-1-1-1-1-11111-111-1-1-111-1-111-1-11111-1-1-1-11-11-1111-1-1-1-111-111-1
χ1722222222-2-22222222222200-22222222220000-2-2-2-2-2-20000000-2-2-2-2-20000000022-2-2000000-2-2-2-20000000000022000000000000
χ1822222222-2-22222222222200-22222222220000-2-2-2-2-2-20000000-2-2-2-2-200000000-2-222000000222200000000000-2-2000000000000
χ192222222-122222222-1-1-12-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000-1-1-1-100000000220-1-1-1-1-1-100000000
χ202222222-122222222-1-1-12-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000111100000000-2-2011111100000000
χ212222222-122222222-1-1-12-1-2-22-1-1-1-1-1-1-1-1-11111-1-12222-2-2-2-2-211-1-1-1-1-1111111112222000000-1-1-1-100000000-2-20-1-1111100000000
χ222222222-122222222-1-1-12-1-2-22-1-1-1-1-1-1-1-1-11111-1-12222-2-2-2-2-211-1-1-1-1-111111111-2-2-2-200000011110000000022011-1-1-1-100000000
χ232222222-1-2-2222222-1-1-12-100-2-1-1-1-1-1-1-1-1-1−i3−i3i3i311-2-2-2-200000−i3i311111−i3−i3i3i3−i3−i3i3i322-2-2000000111100000000000-1-1−i3i3−i3i300000000
χ242222222-1-2-2222222-1-1-12-100-2-1-1-1-1-1-1-1-1-1−i3−i3i3i311-2-2-2-200000−i3i311111−i3−i3i3i3−i3−i3i3i3-2-222000000-1-1-1-10000000000011i3−i3i3−i300000000
χ252222222-1-2-2222222-1-1-12-100-2-1-1-1-1-1-1-1-1-1i3i3−i3−i311-2-2-2-200000i3−i311111i3i3−i3−i3i3i3−i3−i322-2-2000000111100000000000-1-1i3−i3i3−i300000000
χ262222222-1-2-2222222-1-1-12-100-2-1-1-1-1-1-1-1-1-1i3i3−i3−i311-2-2-2-200000i3−i311111i3i3−i3−i3i3i3−i3−i3-2-222000000-1-1-1-10000000000011−i3i3−i3i300000000
χ27222222-1222-1-1-1-1-1-1222-1-122222-1-1-1-1-1-1-1222222-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100002222220000-1-1-1-1-1-1-1-1002000000-1-1-1-10000
χ28222222-1222-1-1-1-1-1-1222-1-122222-1-1-1-1-1-1-1222222-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-200001111111100-200000011110000
χ29222222-1222-1-1-1-1-1-1222-1-1-2-2222-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-21111-2-22-1-1-1-111111111000022-2-2-2-2000011111111002000000-1-1-1-10000
χ30222222-1222-1-1-1-1-1-1222-1-1-2-2222-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-21111-2-22-1-1-1-1111111110000-2-222220000-1-1-1-1-1-1-1-100-200000011110000
χ312222-2-222-2-22-2-2-2-2222222002-2-22-2-2-2-2220000-2-2-222-200000002-2-222000000002-22-200000022-2-2000000000002-2000000000000
χ322222-2-222-2-22-2-2-2-2222222002-2-22-2-2-2-2220000-2-2-222-200000002-2-22200000000-22-22000000-2-22200000000000-22000000000000
χ332222-2-22-1222-2-2-2-22-1-1-12-122-211-11111-1-1-1-1-1-1-1-12-2-22-222-2-2111-1-111-1-1-1-111112-2-2200000011-1-1000000002-20-11-1-11100000000
χ342222-2-22-1222-2-2-2-22-1-1-12-122-211-11111-1-1-1-1-1-1-1-12-2-22-222-2-2111-1-111-1-1-1-11111-222-2000000-1-11100000000-2201-111-1-100000000
χ352222-2-22-1222-2-2-2-22-1-1-12-1-2-2-211-11111-1-11111-1-12-2-222-2-222-1-11-1-1111111-1-1-1-12-2-2200000011-1-100000000-220-1111-1-100000000
χ362222-2-22-1222-2-2-2-22-1-1-12-1-2-2-211-11111-1-11111-1-12-2-222-2-222-1-11-1-1111111-1-1-1-1-222-2000000-1-111000000002-201-1-1-11100000000
χ372222-2-22-1-2-22-2-2-2-22-1-1-12-100211-11111-1-1−i3−i3i3i311-222-200000i3−i3-111-1-1−i3−i3i3i3i3i3−i3−i32-22-2000000-1-11100000000000-11−i3i3i3−i300000000
χ382222-2-22-1-2-22-2-2-2-22-1-1-12-100211-11111-1-1−i3−i3i3i311-222-200000i3−i3-111-1-1−i3−i3i3i3i3i3−i3−i3-22-2200000011-1-1000000000001-1i3−i3−i3i300000000
χ392222-2-22-1-2-22-2-2-2-22-1-1-12-100211-11111-1-1i3i3−i3−i311-222-200000−i3i3-111-1-1i3i3−i3−i3−i3−i3i3i32-22-2000000-1-11100000000000-11i3−i3−i3i300000000
χ402222-2-22-1-2-22-2-2-2-22-1-1-12-100211-11111-1-1i3i3−i3−i311-222-200000−i3i3-111-1-1i3i3−i3−i3−i3−i3i3i3-22-2200000011-1-1000000000001-1−i3i3i3−i300000000
χ412222-2-2-1222-11111-1222-1-122-2-2-2-11111-1-1222222-111-1-2-1-111-2-2-2-1-111-1-1-1-1111100002222-2-20000-1-1-1-1111100-2000000-1-1110000
χ422222-2-2-1222-11111-1222-1-122-2-2-2-11111-1-1222222-111-1-2-1-111-2-2-2-1-111-1-1-1-111110000-2-2-2-22200001111-1-1-1-100200000011-1-10000
χ432222-2-2-1222-11111-1222-1-1-2-2-2-2-2-11111-1-1-2-2-2-222-111-1211-1-122-2-1-1111111-1-1-1-1000022-2-22200001111-1-1-1-100-2000000-1-1110000
χ442222-2-2-1222-11111-1222-1-1-2-2-2-2-2-11111-1-1-2-2-2-222-111-1211-1-122-2-1-1111111-1-1-1-10000-2-222-2-20000-1-1-1-1111100200000011-1-10000
χ452-2-2200222-2-20000-2-2-22222i−2i000-200002-22i−2i2i−2i2-2200-202i−2i000002-2002i−2i2i−2i000000002-22i−2i0000002i2i−2i−2i00000000000002-2000000
χ462-2-2200222-2-20000-2-2-22222i−2i000-200002-22i−2i2i−2i2-2200-202i−2i000002-2002i−2i2i−2i00000000-22−2i2i000000−2i−2i2i2i0000000000000-22000000
χ472-2-2200222-2-20000-2-2-2222−2i2i000-200002-2−2i2i−2i2i2-2200-20−2i2i000002-200−2i2i−2i2i000000002-2−2i2i000000−2i−2i2i2i00000000000002-2000000
χ482-2-2200222-2-20000-2-2-2222−2i2i000-200002-2−2i2i−2i2i2-2200-20−2i2i000002-200−2i2i−2i2i00000000-222i−2i0000002i2i−2i−2i0000000000000-22000000
χ492-2-2200-122-21−i3−i3i3i31-2-22-1-12i−2i0001−i3−i3i3i3-112i−2i2i−2i2-2-1−i3i310−ii3−3000-11−i3i3−ii−ii3−33−300002-22i−2i000000−i−iii33−3−3000000000-11−i3i30000
χ502-2-2200-122-21−i3−i3i3i31-2-22-1-12i−2i0001−i3−i3i3i3-112i−2i2i−2i2-2-1−i3i310−ii3−3000-11−i3i3−ii−ii3−33−30000-22−2i2i000000ii−i−i−3−3330000000001-1i3−i30000
χ512-2-2200-122-21−i3−i3i3i31-2-22-1-1−2i2i0001−i3−i3i3i3-11−2i2i−2i2i2-2-1−i3i310i−i−33000-11−i3i3i−ii−i−33−3300002-2−2i2i000000ii−i−i−3−333000000000-11−i3i30000
χ522-2-2200-122-21−i3−i3i3i31-2-22-1-1−2i2i0001−i3−i3i3i3-11−2i2i−2i2i2-2-1−i3i310i−i−33000-11−i3i3i−ii−i−33−330000-222i−2i000000−i−iii33−3−30000000001-1i3−i30000
χ532-2-2200-122-21i3i3−i3−i31-2-22-1-12i−2i0001i3i3−i3−i3-112i−2i2i−2i2-2-1i3−i310−ii−33000-11i3−i3−ii−ii−33−3300002-22i−2i000000−i−iii−3−333000000000-11i3−i30000
χ542-2-2200-122-21i3i3−i3−i31-2-22-1-12i−2i0001i3i3−i3−i3-112i−2i2i−2i2-2-1i3−i310−ii−33000-11i3−i3−ii−ii−33−330000-22−2i2i000000ii−i−i33−3−30000000001-1−i3i30000
χ552-2-2200-122-21i3i3−i3−i31-2-22-1-1−2i2i0001i3i3−i3−i3-11−2i2i−2i2i2-2-1i3−i310i−i3−3000-11i3−i3i−ii−i3−33−300002-2−2i2i000000ii−i−i33−3−3000000000-11i3−i30000
χ562-2-2200-122-21i3i3−i3−i31-2-22-1-1−2i2i0001i3i3−i3−i3-11−2i2i−2i2i2-2-1i3−i310i−i3−3000-11i3−i3i−ii−i3−33−30000-222i−2i000000−i−iii−3−3330000000001-1−i3i30000
χ57444444-24-4-4-2-2-2-2-2-2444-2-200-444-2-2-2-2-2-2-20000-4-422220000000-4222200000000000000000000000000000000000000000000000
χ58444444-2-244-2-2-2-2-2-2-2-2-2-21444-2-21111111-2-2-2-2-2-2-2-2-2-24-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000000
χ59444444-2-244-2-2-2-2-2-2-2-2-2-21-4-44-2-211111112222-2-2-2-2-2-2-4222222-21111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-2-2-2-2-2100-4-2-21111111−2i3−2i32i32i322222200000−2i32i32-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-2-2-2-2-2100-4-2-211111112i32i3−2i3−2i3222222000002i3−2i32-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000
χ624444-4-4-24-4-4-22222-2444-2-2004-4-4-22222-2-20000-4-42-2-220000000422-2-200000000000000000000000000000000000000000000000
χ634444-4-4-2-244-22222-2-2-2-2-2144-4221-1-1-1-111-2-2-2-2-2-2-222-2-4-2-22222211-1-11111-1-1-1-1000000000000000000000000000000000000000
χ644444-4-4-2-244-22222-2-2-2-2-21-4-4-4221-1-1-1-1112222-2-2-222-2422-2-2-2-2211-1-1-1-1-1-11111000000000000000000000000000000000000000
χ654444-4-4-2-2-4-4-22222-2-2-2-2-21004221-1-1-1-111−2i3−2i32i32i3222-2-22000002i3−2i3-2-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000
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χ834-4-440044-44-40000-4-4-444400000-400004-40000-44-400400000000-440000000000000000000000000000000000000000000000000
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χ864-4-44004-2-44-40000-422-24-20000020000-2223−23−23232-2-4004000000002-20023−23−23230000000000000000000000000000000000000000000
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χ894-4-4400-24-4422i32i3−2i3−2i32-4-44-2-20000022i32i3−2i3−2i3-220000-442−2i32i3-2000000002-2−2i32i300000000000000000000000000000000000000000000000
χ904-4-4400-2-24-42−2i3−2i32i32i3222-2-214i−4i000-1i3i3−i3−i31-1−2i2i−2i2i-22-2−2i32i320−2i2i23−230001-1i3−i3i−ii−i−33−33000000000000000000000000000000000000000
χ914-4-4400-2-24-42−2i3−2i32i32i3222-2-21−4i4i000-1i3i3−i3−i31-12i−2i2i−2i-22-2−2i32i3202i−2i−23230001-1i3−i3−ii−ii3−33−3000000000000000000000000000000000000000
χ924-4-4400-2-24-422i32i3−2i3−2i3222-2-214i−4i000-1−i3−i3i3i31-1−2i2i−2i2i-22-22i3−2i320−2i2i−23230001-1−i3i3i−ii−i3−33−3000000000000000000000000000000000000000
χ934-4-4400-2-24-422i32i3−2i3−2i3222-2-21−4i4i000-1−i3−i3i3i31-12i−2i2i−2i-22-22i3−2i3202i−2i23−230001-1−i3i3−ii−ii−33−33000000000000000000000000000000000000000
χ944-4-4400-2-2-442−2i3−2i32i32i3222-2-2100000-1i3i3−i3−i31-123−23−23232-222i3−2i3-200000000-11−i3i3−333−3−3i3i3i−3i000000000000000000000000000000000000000
χ954-4-4400-2-2-442−2i3−2i32i32i3222-2-2100000-1i3i3−i3−i31-1−232323−232-222i3−2i3-200000000-11−i3i33−3−333i−3i−3i3i000000000000000000000000000000000000000
χ964-4-4400-2-2-4422i32i3−2i3−2i3222-2-2100000-1−i3−i3i3i31-123−23−23232-22−2i32i3-200000000-11i3−i3−333−33i−3i−3i3i000000000000000000000000000000000000000
χ974-4-4400-2-2-4422i32i3−2i3−2i3222-2-2100000-1−i3−i3i3i31-1−232323−232-22−2i32i3-200000000-11i3−i33−3−33−3i3i3i−3i000000000000000000000000000000000000000
χ9888-8-88-8-4-4004-44-44-4-44442000-44-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-88-4-40044-44-4-4-444420004-4-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-40080000-84-44-8-400000-4000044000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-400-4−4i34i34i3−4i344-44420000022i3−2i3−2i32i3-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400-44i3−4i3−4i34i344-4442000002−2i32i32i3−2i3-2-2000000000000000000000000000000000000000000000000000000000000000000000

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