Finite Group Databasebeta

← Group #11895487

Character table — Group #11895487

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order1222334444666666344466612121212121212121212121212121212444441212121212121212121212121212121212121212448888121212128888444412121212121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1
χ4111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111-1-111111111-1-1-1-1111111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1
χ611111111111111111-1-111111111-1-1-1-1111111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111
χ711111111111111111-1-111111111-1-1-1-111111111-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-11
χ811111111111111111-1-111111111-1-1-1-111111111-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1
χ9111111-1-111111111111-1111-1-1111111-1-11-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-11-111-1-111-1-111111-11-11-111-1-111-1-111-1-11-1-1
χ10111111-1-111111111111-1111-1-1111111-1-11-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-1-111-11-111-1-1-1-111-1-111-111
χ11111111-1-111111111111-1111-1-1111111-1-11-1-1-1-11-1-111-1-1-1-111-1-1-111-1-11111-1-1-1-1-1111-1-1-1-111-1-1-1-11-1-11-11-1-11111-1-1-1-1111-11
χ12111111-1-111111111111-1111-1-1111111-1-11-1-1-1-11-1-111-1-1-1-111-1-1-111-1-11111-1-1-1-1-11-1-111-1-1111111-11-11-11-1-111-1-11111-1-1-11-1
χ13111111-1-1111111111-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-1111-1-11-111-1-1-11111-1-1-1-1-1-111111-111-1-111-1-11111-11-111-1-1-11111-1-1-1-1-1-1-111
χ14111111-1-1111111111-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-1111-1-11-111-1-1-11111-1-1-1-1-1-111111-1-1-11111-1-1-1-1-1-11-1-111-1-1-111-1-11111111-1-1
χ15111111-1-1111111111-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-11-1-1111-111-1-1-11111-1-1-1-1-1-11111-1111-1-1-1-111-1-1-1-1-111-1-1111-1-111-1-11111-11-1
χ16111111-1-1111111111-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-11-1-1111-111-1-1-11111-1-1-1-1-1-11111-11-1-111-1-11111111-11-1-1111-1-1-1-111-1-1-1-11-11
χ1722222222-2-2222222200-222222-2-2000022-22222-222220-20000-200-2-2-2-200000000-2-20000222200000000-2-2000000000000000
χ1822222222-2-2222222200-222222-2-2000022-22222-2-2-2-2-20-20000-200-2-2-2-200000000220000-2-2-2-20000000022000000000000000
χ19222222-2-2-2-22222222002222-2-2-2-20000-2-2-2-2-2-2-2-222-2-2020000200-2-22200000000-22000022-2-200000000-22000000000000000
χ20222222-2-2-2-22222222002222-2-2-2-20000-2-2-2-2-2-2-2-2-2-222020000200-2-222000000002-20000-2-222000000002-2000000000000000
χ2122222-1222222-1-12-1-1222-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-100000022-1-1-1-1-1-100000000000
χ2222222-1222222-1-12-1-1222-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200001111000000-2-211111100000000000
χ2322222-1222222-1-12-1-1-2-22-1-1-122-1-11111-1-12-1-1-1-122222-22-2-2-2-2-111-1-1-1-111111111220000-1-1-1-1000000-2-2-1-1111100000000000
χ2422222-1222222-1-12-1-1-2-22-1-1-122-1-11111-1-12-1-1-1-12-2-2-2-2-22-2-2-2-2-111-1-1-1-111111111-2-2000011110000002211-1-1-1-100000000000
χ2522222-122-2-222-1-12-1-100-2-1-1-12211−i3−i3i3i3-1-1-2-1-1-1-1-222220-200001−i3i31111−i3−i3i3i3−i3−i3i3i3-2-20000-1-1-1-10000000011−i3i3−i3i300000000000
χ2622222-122-2-222-1-12-1-100-2-1-1-12211−i3−i3i3i3-1-1-2-1-1-1-1-2-2-2-2-20-200001−i3i31111−i3−i3i3i3−i3−i3i3i3220000111100000000-1-1i3−i3i3−i300000000000
χ2722222-122-2-222-1-12-1-100-2-1-1-12211i3i3−i3−i3-1-1-2-1-1-1-1-222220-200001i3−i31111i3i3−i3−i3i3i3−i3−i3-2-20000-1-1-1-10000000011i3−i3i3−i300000000000
χ2822222-122-2-222-1-12-1-100-2-1-1-12211i3i3−i3−i3-1-1-2-1-1-1-1-2-2-2-2-20-200001i3−i31111i3i3−i3−i3i3i3−i3−i3220000111100000000-1-1−i3i3−i3i300000000000
χ2922222-1-2-22222-1-12-1-122-2-1-1-1-2-2-1-1-1-1-1-11121111222-2-2-2-2-2-222111-1-111-1-1-1-111112-20000-1-1110000002-2-11-1-11100000000000
χ3022222-1-2-22222-1-12-1-122-2-1-1-1-2-2-1-1-1-1-1-111211112-2-222-2-2-2-222111-1-111-1-1-1-11111-22000011-1-1000000-221-111-1-100000000000
χ3122222-1-2-22222-1-12-1-1-2-2-2-1-1-1-2-2-1-111111121111222-2-22-222-2-21-1-1-1-1111111-1-1-1-12-20000-1-111000000-22-1111-1-100000000000
χ3222222-1-2-22222-1-12-1-1-2-2-2-1-1-1-2-2-1-1111111211112-2-2222-222-2-21-1-1-1-1111111-1-1-1-1-22000011-1-10000002-21-1-1-11100000000000
χ3322222-1-2-2-2-222-1-12-1-1002-1-1-1-2-211−i3−i3i3i311-21111-222-2-2020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-220000-1-111000000001-1−i3i3i3−i300000000000
χ3422222-1-2-2-2-222-1-12-1-1002-1-1-1-2-211−i3−i3i3i311-21111-2-2-222020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-2000011-1-100000000-11i3−i3−i3i300000000000
χ3522222-1-2-2-2-222-1-12-1-1002-1-1-1-2-211i3i3−i3−i311-21111-222-2-2020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-220000-1-111000000001-1i3−i3−i3i300000000000
χ3622222-1-2-2-2-222-1-12-1-1002-1-1-1-2-211i3i3−i3−i311-21111-2-2-222020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-2000011-1-100000000-11−i3i3i3−i300000000000
χ372222-122222-1-122-12-1222-1-1-1-1-122222222-1-1-1-1-1-100002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1002222000000002200000000-1-1-1-10000-1-10
χ382222-122222-1-122-12-1222-1-1-1-1-122222222-1-1-1-1-1-100002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200000000-2-20000000011110000110
χ392222-122222-1-122-12-1-2-22-1-1-1-1-122-2-2-2-222-1-1-1-1-1-10000-2-111112-2-2-1-1-1-11111111100222200000000-2-200000000-1-1-1-10000110
χ402222-122222-1-122-12-1-2-22-1-1-1-1-122-2-2-2-222-1-1-1-1-1-10000-2-111112-2-2-1-1-1-11111111100-2-2-2-200000000220000000011110000-1-10
χ412222-12-2-222-1-122-12-122-2-1-1-111222222-2-2-11111-10000-2111-1-1-2-2-2-1-111-1-1-1-111110022-2-2000000002-200000000-1-1110000-110
χ422222-12-2-222-1-122-12-122-2-1-1-111222222-2-2-11111-10000-2111-1-1-2-2-2-1-111-1-1-1-1111100-2-22200000000-220000000011-1-100001-10
χ432222-12-2-222-1-122-12-1-2-2-2-1-1-11122-2-2-2-2-2-2-11111-1000021-1-111-222-1-1111111-1-1-1-10022-2-200000000-2200000000-1-11100001-10
χ442222-12-2-222-1-122-12-1-2-2-2-1-1-11122-2-2-2-2-2-2-11111-1000021-1-111-222-1-1111111-1-1-1-100-2-222000000002-20000000011-1-10000-110
χ4522-2-2222-2002-2-22-2-220002-2-22-20000002-2022-2-202-22-2000000000000000000000002−22−22-22-222−2−200000000002−22−2002−2000
χ4622-2-2222-2002-2-22-2-220002-2-22-20000002-2022-2-202-22-200000000000000000000000−22−222-22-2−2−2220000000000−22−2200−22000
χ4722-2-2222-2002-2-22-2-220002-2-22-20000002-2022-2-20-22-22000000000000000000000002−22−2-22-22−2−22200000000002−22−200−22000
χ4822-2-2222-2002-2-22-2-220002-2-22-20000002-2022-2-20-22-2200000000000000000000000−22−22-22-2222−2−20000000000−22−22002−2000
χ4922-2-222-22002-2-22-2-220002-2-2-22000000-220-2-22202-2-22000000000000000000000002−2−222-2-2222−2−200000000002−2−2200−22000
χ5022-2-222-22002-2-22-2-220002-2-2-22000000-220-2-22202-2-2200000000000000000000000−222−22-2-22−2−2220000000000−222−2002−2000
χ5122-2-222-22002-2-22-2-220002-2-2-22000000-220-2-2220-222-2000000000000000000000002−2−22-222-2−2−22200000000002−2−22002−2000
χ5222-2-222-22002-2-22-2-220002-2-2-22000000-220-2-2220-222-200000000000000000000000−222−2-222-222−2−20000000000−222−200−22000
χ532-22-22200-22-2-22-22-222-20-22-2002-22-22-200-200002000000002-20002-2002-22-2000000000000002i−2i2i−2i000000000000002i−2i00000
χ542-22-22200-22-2-22-22-222-20-22-2002-22-22-200-200002000000002-20002-2002-22-200000000000000−2i2i−2i2i00000000000000−2i2i00000
χ552-22-22200-22-2-22-22-22-220-22-2002-2-22-2200-20000200000000-220002-200-22-22000000000000002i−2i2i−2i00000000000000−2i2i00000
χ562-22-22200-22-2-22-22-22-220-22-2002-2-22-2200-20000200000000-220002-200-22-2200000000000000−2i2i−2i2i000000000000002i−2i00000
χ574444-2444-4-4-2-244-24-200-4-2-2-2-2-2-4-40000442-2-2-2-220000020000-40022220000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-244-24-2004-2-2-222-4-40000-4-422222200000-2000040022-2-20000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-2-21111-200004-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000
χ604444-2-24444-2-2-2-2-2-21-4-44111-2-2-2-22222-2-2-21111-20000-4-22222-2221111-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2100-4111-2-222−2i3−2i32i32i3-2-221111200000200002−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2100-4111-2-2222i32i3−2i3−2i3-2-2211112000002000022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-2144-411122-2-2-2-2-2-222-2-1-1-1-1-20000-4222-2-222211-1-11111-1-1-1-100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4-4-411122-2-2222222-2-1-1-1-1-2000042-2-2222-2-211-1-1-1-1-1-1111100000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-210041112222−2i3−2i32i32i3222-1-1-1-1200000-20000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-2100411122222i32i3−2i3−2i3222-1-1-1-1200000-20000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000
χ6744-4-44-24-4004-42-2-42-2000-2224-4000000-220-2-22204-44-4000000000000000000000000000-22-220000000000000000000000000
χ6844-4-44-24-4004-42-2-42-2000-2224-4000000-220-2-2220-44-440000000000000000000000000002-22-20000000000000000000000000
χ6944-4-44-2-44004-42-2-42-2000-222-440000002-2022-2-204-4-44000000000000000000000000000-222-20000000000000000000000000
χ7044-4-44-2-44004-42-2-42-2000-222-440000002-2022-2-20-444-40000000000000000000000000002-2-220000000000000000000000000
χ7144-4-4-244-400-22-442-4-2000-222-220000004-40-2-222000000000000000000000000000022−2222−22000000000000000000−22−220000000
χ7244-4-4-244-400-22-442-4-2000-222-220000004-40-2-2220000000000000000000000000000−2222−22220000000000000000002−22−20000000
χ7344-4-4-24-4400-22-442-4-2000-2222-2000000-44022-2-2000000000000000000000000000022−22−2222000000000000000000−222−20000000
χ7444-4-4-24-4400-22-442-4-2000-2222-2000000-44022-2-20000000000000000000000000000−222222−220000000000000000002−2−220000000
χ754-44-444004-4-4-44-44-44000-44-400-4400000040000-40000000000000-44000000000000000000000000000000000000000000000
χ764-44-44-2004-4-4-4-2242-20002-22002-2−2i32i32i3−2i30040000-400000000000002-200−2i32i32i3−2i3000000000000000000000000000000000000000
χ774-44-44-2004-4-4-4-2242-20002-22002-22i3−2i3−2i32i30040000-400000000000002-2002i3−2i3−2i32i3000000000000000000000000000000000000000
χ784-44-44-200-44-4-4-2242-24-402-2200-22-22-2200-400004000000004-4000-2200-22-22000000000000000000000000000000000000000
χ794-44-44-200-44-4-4-2242-2-4402-2200-222-22-200-40000400000000-44000-22002-22-2000000000000000000000000000000000000000
χ804-44-4-24004-4224-4-2-4-20002-2200-44000000-20000200000023−23000002-200000023−2323−2300000000000000000000000000000000000
χ814-44-4-24004-4224-4-2-4-20002-2200-44000000-200002000000−2323000002-2000000−2323−232300000000000000000000000000000000000
χ824-44-4-2400-44224-4-2-4-24-402-22004-44-44-40020000-200000000-22000-2200-22-22000000000000000000000000000000000000000
χ834-44-4-2400-44224-4-2-4-2-4402-22004-4-44-440020000-2000000002-2000-22002-22-2000000000000000000000000000000000000000
χ844-44-4-2-2004-422-22-221000-11-1002-2−2i32i32i3−2i300-23i−3i3i−3i200000023−2300000-113i−3ii3−i3−i3i3−33−3300000000000000000000000000000000000
χ854-44-4-2-2004-422-22-221000-11-1002-2−2i32i32i3−2i300-2−3i3i−3i3i2000000−232300000-11−3i3ii3−i3−i3i33−33−300000000000000000000000000000000000
χ864-44-4-2-2004-422-22-221000-11-1002-22i3−2i3−2i32i300-23i−3i3i−3i2000000−232300000-113i−3i−i3i3i3−i33−33−300000000000000000000000000000000000
χ874-44-4-2-2004-422-22-221000-11-1002-22i3−2i3−2i32i300-2−3i3i−3i3i200000023−2300000-11−3i3i−i3i3i3−i3−33−3300000000000000000000000000000000000
χ884-44-4-2-200-4422-22-2214-40-11-100-22-22-220023i−3i3i−3i-200000000-220001-1−3i3i1-11-1−3i3i3i−3i00000000000000000000000000000000000
χ894-44-4-2-200-4422-22-2214-40-11-100-22-22-22002−3i3i−3i3i-200000000-220001-13i−3i1-11-13i−3i−3i3i00000000000000000000000000000000000
χ904-44-4-2-200-4422-22-221-440-11-100-222-22-20023i−3i3i−3i-2000000002-20001-1−3i3i-11-113i−3i−3i3i00000000000000000000000000000000000
χ914-44-4-2-200-4422-22-221-440-11-100-222-22-2002−3i3i−3i3i-2000000002-20001-13i−3i-11-11−3i3i3i−3i00000000000000000000000000000000000
χ924-4-44440000-44-4-4-444000-4-44000000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ934-4-44440000-44-4-4-444000-4-440000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ9488-8-8-4-48-800-444-44420002-2-2-44000000-44022-2-20000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4-8800-444-44420002-2-24-40000004-40-2-2220000000000000000000000000000000000000000000000000000000000000
χ968-8-888-40000-8844-8-4-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-8-88-4800004-4-8-848-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-400004-4444-42000-2-22000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-400004-4444-42000-2-2200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000

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