Finite Group Databasebeta

← Group #11895477

Character table — Group #11895477

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order1222334444666666344466612121212121212121212121212121212444441212121212121212121212121212121212121212448888121212128888444412121212121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1
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
χ5111111111111111111-1-111111111-1-1-1-111111111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1
χ6111111111111111111-1-111111111-1-1-1-111111111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111
χ7111111111111111111-1-111111111-1-1-1-11111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11
χ8111111111111111111-1-111111111-1-1-1-11111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1
χ9111111-1-1111111111-111111-1-11-1-1111111-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-111-1-111-1-111111-11-11-111-1-111-1-111-1-11-1-1
χ10111111-1-1111111111-111111-1-11-1-1111111-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-11-1-111-111-1-1-1-111-1-111-111
χ11111111-1-1111111111-111111-1-11-1-1111111-1-1-1-11-1-111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-11-1-11111-1-1-1-1111-11
χ12111111-1-1111111111-111111-1-11-1-1111111-1-1-1-11-1-111-1-1-1-1-111-1-111-1-11111-1-1-1-1-11-1-111-1-1111111-11-11-11-1-111-1-11111-1-1-11-1
χ13111111-1-1111111111-1-1-1111-1-11-1-1-1-1-1-111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-111111-111-1-111-1-11111-11-111-1-1-11111-1-1-1-1-1-1-111
χ14111111-1-1111111111-1-1-1111-1-11-1-1-1-1-1-111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-111111-1-1-11111-1-1-1-1-1-1-111-11-1-1-111-1-11111111-1-1
χ15111111-1-1111111111-1-1-1111-1-11-1-1-1-1-1-111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-11111-1111-1-1-1-111-1-1-1-11-1-11-1111-1-111-1-11111-11-1
χ16111111-1-1111111111-1-1-1111-1-11-1-1-1-1-1-111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-11111-11-1-111-1-11111111-11-1-1111-1-1-1-111-1-1-1-11-11
χ1722222222-2-22222222-20022222-2220000-2-22222-22222000-2-20000-2-2-2-200000000-2-20000222200000000-2-2000000000000000
χ1822222222-2-22222222-20022222-2220000-2-22222-2-2-2-2-2000-2-20000-2-2-2-200000000220000-2-2-2-20000000022000000000000000
χ19222222-2-2-2-22222222200222-2-2-2-2-20000-2-2-2-2-2-2-222-2-2000220000-2-22200000000-22000022-2-200000000-22000000000000000
χ20222222-2-2-2-22222222200222-2-2-2-2-20000-2-2-2-2-2-2-2-2-222000220000-2-222000000002-20000-2-222000000002-2000000000000000
χ2122222-1222222-1-12-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122222222-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-100002200-1-1-1-1-1-100000000000
χ2222222-1222222-1-12-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2222-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000011110000-2-20011111100000000000
χ2322222-1222222-1-12-1-12-2-2-1-1-1222-1-11111-1-1-1-1-1-122222-2-2-2-12-2-211-1-1-1-111111111220000-1-1-1-10000-2-200-1-1111100000000000
χ2422222-1222222-1-12-1-12-2-2-1-1-1222-1-11111-1-1-1-1-1-12-2-2-2-2-2-2-2-12-2-211-1-1-1-111111111-2-2000011110000220011-1-1-1-100000000000
χ2522222-122-2-222-1-12-1-1-200-1-1-122-2-1-1−i3−i3i3i311-1-1-1-1-222220001-200−i3i31111−i3−i3i3i3−i3−i3i3i3-2-20000-1-1-1-10000000011−i3i3−i3i300000000000
χ2622222-122-2-222-1-12-1-1-200-1-1-122-2-1-1−i3−i3i3i311-1-1-1-1-2-2-2-2-20001-200−i3i31111−i3−i3i3i3−i3−i3i3i3220000111100000000-1-1i3−i3i3−i300000000000
χ2722222-122-2-222-1-12-1-1-200-1-1-122-2-1-1i3i3−i3−i311-1-1-1-1-222220001-200i3−i31111i3i3−i3−i3i3i3−i3−i3-2-20000-1-1-1-10000000011i3−i3i3−i300000000000
χ2822222-122-2-222-1-12-1-1-200-1-1-122-2-1-1i3i3−i3−i311-1-1-1-1-2-2-2-2-20001-200i3−i31111i3i3−i3−i3i3i3−i3−i3220000111100000000-1-1−i3i3−i3i300000000000
χ2922222-1-2-22222-1-12-1-1-222-1-1-1-2-2211-1-1-1-1-1-11111222-2-2-2-2-21-22211-1-111-1-1-1-111112-20000-1-11100002-200-11-1-11100000000000
χ3022222-1-2-22222-1-12-1-1-222-1-1-1-2-2211-1-1-1-1-1-111112-2-222-2-2-21-22211-1-111-1-1-1-11111-22000011-1-10000-22001-111-1-100000000000
χ3122222-1-2-22222-1-12-1-1-2-2-2-1-1-1-2-22111111-1-11111222-2-22221-2-2-2-1-1-1-1111111-1-1-1-12-20000-1-1110000-2200-1111-1-100000000000
χ3222222-1-2-22222-1-12-1-1-2-2-2-1-1-1-2-22111111-1-111112-2-2222221-2-2-2-1-1-1-1111111-1-1-1-1-22000011-1-100002-2001-1-1-11100000000000
χ3322222-1-2-2-2-222-1-12-1-1200-1-1-1-2-2-211−i3−i3i3i3111111-222-2-2000-1200i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-220000-1-111000000001-1−i3i3i3−i300000000000
χ3422222-1-2-2-2-222-1-12-1-1200-1-1-1-2-2-211−i3−i3i3i3111111-2-2-222000-1200i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-2000011-1-100000000-11i3−i3−i3i300000000000
χ3522222-1-2-2-2-222-1-12-1-1200-1-1-1-2-2-211i3i3−i3−i3111111-222-2-2000-1200−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-220000-1-111000000001-1i3−i3−i3i300000000000
χ3622222-1-2-2-2-222-1-12-1-1200-1-1-1-2-2-211i3i3−i3−i3111111-2-2-222000-1200−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-2000011-1-100000000-11−i3i3i3−i300000000000
χ372222-122222-1-122-12-1222-1-1-1-1-1-122222222-1-1-1-1-100002-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1002222000000000022000000-1-1-1-10000-1-10
χ382222-122222-1-122-12-1222-1-1-1-1-1-122222222-1-1-1-1-100002-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000000-2-200000011110000110
χ392222-122222-1-122-12-12-2-2-1-1-1-1-1-122-2-2-2-222-1-1-1-1-10000-2112-111-2-2-1-1-1-1111111110022220000000000-2-2000000-1-1-1-10000110
χ402222-122222-1-122-12-12-2-2-1-1-1-1-1-122-2-2-2-222-1-1-1-1-10000-2112-111-2-2-1-1-1-11111111100-2-2-2-200000000002200000011110000-1-10
χ412222-12-2-222-1-122-12-1-222-1-1-111-1-2-22222221111-10000-211-21-1-1-2-2-1-111-1-1-1-111110022-2-200000000002-2000000-1-1110000-110
χ422222-12-2-222-1-122-12-1-222-1-1-111-1-2-22222221111-10000-211-21-1-1-2-2-1-111-1-1-1-1111100-2-2220000000000-2200000011-1-100001-10
χ432222-12-2-222-1-122-12-1-2-2-2-1-1-111-1-2-2-2-2-2-2221111-100002-1-1-211122-1-1111111-1-1-1-10022-2-20000000000-22000000-1-11100001-10
χ442222-12-2-222-1-122-12-1-2-2-2-1-1-111-1-2-2-2-2-2-2221111-100002-1-1-211122-1-1111111-1-1-1-100-2-22200000000002-200000011-1-10000-110
χ4522-2-2222-2002-22-2-2-220002-2-22-202-200000022-2-202-22-2000000000000000000000002−22−22-22-222−2−200000000002−22−2002−2000
χ4622-2-2222-2002-22-2-2-220002-2-22-202-200000022-2-202-22-200000000000000000000000−22−222-22-2−2−2220000000000−22−2200−22000
χ4722-2-2222-2002-22-2-2-220002-2-22-202-200000022-2-20-22-22000000000000000000000002−22−2-22-22−2−22200000000002−22−200−22000
χ4822-2-2222-2002-22-2-2-220002-2-22-202-200000022-2-20-22-2200000000000000000000000−22−22-22-2222−2−20000000000−22−22002−2000
χ4922-2-222-22002-22-2-2-220002-2-2-220-22000000-2-22202-2-22000000000000000000000002−2−222-2-2222−2−200000000002−2−2200−22000
χ5022-2-222-22002-22-2-2-220002-2-2-220-22000000-2-22202-2-2200000000000000000000000−222−22-2-22−2−2220000000000−222−2002−2000
χ5122-2-222-22002-22-2-2-220002-2-2-220-22000000-2-2220-222-2000000000000000000000002−2−22-222-2−2−22200000000002−2−22002−2000
χ5222-2-222-22002-22-2-2-220002-2-2-220-22000000-2-2220-222-200000000000000000000000−222−2-222-222−2−20000000000−222−200−22000
χ532-22-22200-22-22-2-2-22202i−2i-22-200-2002i−2i2i−2i2-2000020000000002i−2i002-2002i−2i2i−2i000000000000002i−2i2i−2i000000000000002-200000
χ542-22-22200-22-22-2-2-22202i−2i-22-200-2002i−2i2i−2i2-2000020000000002i−2i002-2002i−2i2i−2i00000000000000−2i2i−2i2i00000000000000-2200000
χ552-22-22200-22-22-2-2-2220−2i2i-22-200-200−2i2i−2i2i2-200002000000000−2i2i002-200−2i2i−2i2i000000000000002i−2i2i−2i00000000000000-2200000
χ562-22-22200-22-22-2-2-2220−2i2i-22-200-200−2i2i−2i2i2-200002000000000−2i2i002-200−2i2i−2i2i00000000000000−2i2i−2i2i000000000000002-200000
χ574444-2444-4-4-2-244-24-2-400-2-2-2-2-22440000-4-4-2-2-2-220000000-42000022220000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-244-24-2400-2-2-2222-4-40000-4-42222200000004-2000022-2-20000000000000000000000000000000000000000000
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
χ604444-2-24444-2-2-2-2-2-214-4-4111-2-2-2-2-22222-2-21111-20000-422-2-222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-400111-2-22-2-2−2i3−2i32i32i3221111200000002200−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-400111-2-22-2-22i32i3−2i3−2i32211112000000022002i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-44411122-222-2-2-2-2-2-2-1-1-1-1-20000-42222-2-22211-1-11111-1-1-1-100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4-4-411122-2222222-2-2-1-1-1-1-200004-2-22222-2-211-1-1-1-1-1-1111100000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-2140011122222−2i3−2i32i32i322-1-1-1-120000000-2-2002i3−2i3-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-21400111222222i32i3−2i3−2i322-1-1-1-120000000-2-200−2i32i3-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000
χ6744-4-44-24-4004-4-22-42-2000-2224-40-22000000-2-22204-44-4000000000000000000000000000-22-220000000000000000000000000
χ6844-4-44-24-4004-4-22-42-2000-2224-40-22000000-2-2220-44-440000000000000000000000000002-22-20000000000000000000000000
χ6944-4-44-2-44004-4-22-42-2000-222-4402-200000022-2-204-4-44000000000000000000000000000-222-20000000000000000000000000
χ7044-4-44-2-44004-4-22-42-2000-222-4402-200000022-2-20-444-40000000000000000000000000002-2-220000000000000000000000000
χ7144-4-4-244-400-224-42-4-2000-222-2204-4000000-2-222000000000000000000000000000022−2222−22000000000000000000−22−220000000
χ7244-4-4-244-400-224-42-4-2000-222-2204-4000000-2-2220000000000000000000000000000−2222−22220000000000000000002−22−20000000
χ7344-4-4-24-4400-224-42-4-2000-2222-20-4400000022-2-2000000000000000000000000000022−22−2222000000000000000000−222−20000000
χ7444-4-4-24-4400-224-42-4-2000-2222-20-4400000022-2-20000000000000000000000000000−222222−220000000000000000002−2−220000000
χ754-44-444004-4-44-4-4-444000-44-4004000000-440000-40000000000000-44000000000000000000000000000000000000000000000
χ764-44-44-2004-4-4422-4-2-20002-220040023−23−23232-20000-400000000000002-20023−23−2323000000000000000000000000000000000000000
χ774-44-44-2004-4-4422-4-2-20002-2200400−232323−232-20000-400000000000002-200−232323−23000000000000000000000000000000000000000
χ784-44-44-200-44-4422-4-2-204i−4i2-2200-400−2i2i−2i2i-22000040000000004i−4i00-2200−2i2i−2i2i000000000000000000000000000000000000000
χ794-44-44-200-44-4422-4-2-20−4i4i2-2200-4002i−2i2i−2i-2200004000000000−4i4i00-22002i−2i2i−2i000000000000000000000000000000000000000
χ804-44-4-24004-42-2-4-424-20002-2200-2000000-440000200000−2i32i30000002-2000000−2i32i3−2i32i300000000000000000000000000000000000
χ814-44-4-24004-42-2-4-424-20002-2200-2000000-4400002000002i3−2i30000002-20000002i3−2i32i3−2i300000000000000000000000000000000000
χ824-44-4-2400-442-2-4-424-204i−4i2-22002004i−4i4i−4i4-40000-2000000000−2i2i00-2200−2i2i−2i2i000000000000000000000000000000000000000
χ834-44-4-2400-442-2-4-424-20−4i4i2-2200200−4i4i−4i4i4-40000-20000000002i−2i00-22002i−2i2i−2i000000000000000000000000000000000000000
χ844-44-4-2-2004-42-2222-21000-11-100-20023−23−23232-23i−3i3i−3i200000−2i32i3000000-113i−3i−333−3i3−i3i3−i300000000000000000000000000000000000
χ854-44-4-2-2004-42-2222-21000-11-100-20023−23−23232-2−3i3i−3i3i2000002i3−2i3000000-11−3i3i−333−3−i3i3−i3i300000000000000000000000000000000000
χ864-44-4-2-2004-42-2222-21000-11-100-200−232323−232-23i−3i3i−3i2000002i3−2i3000000-113i−3i3−3−33−i3i3−i3i300000000000000000000000000000000000
χ874-44-4-2-2004-42-2222-21000-11-100-200−232323−232-2−3i3i−3i3i200000−2i32i3000000-11−3i3i3−3−33i3−i3i3−i300000000000000000000000000000000000
χ884-44-4-2-200-442-2222-2104i−4i-11-100200−2i2i−2i2i-223i−3i3i−3i-2000000000−2i2i001-1−3i3ii−ii−i-333-300000000000000000000000000000000000
χ894-44-4-2-200-442-2222-2104i−4i-11-100200−2i2i−2i2i-22−3i3i−3i3i-2000000000−2i2i001-13i−3ii−ii−i3-3-3300000000000000000000000000000000000
χ904-44-4-2-200-442-2222-210−4i4i-11-1002002i−2i2i−2i-223i−3i3i−3i-20000000002i−2i001-1−3i3i−ii−ii3-3-3300000000000000000000000000000000000
χ914-44-4-2-200-442-2222-210−4i4i-11-1002002i−2i2i−2i-22−3i3i−3i3i-20000000002i−2i001-13i−3i−ii−ii-333-300000000000000000000000000000000000
χ924-4-44440000-4-4-444-44000-4-44000000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ934-4-44440000-4-4-444-44000-4-440000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ9488-8-8-4-48-800-44-444420002-2-2-440-4400000022-2-20000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4-8800-44-444420002-2-24-404-4000000-2-2220000000000000000000000000000000000000000000000000000000000000
χ968-8-888-40000-8-84-484-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-8-88-48000044-88-4-8-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-40000444-4-442000-2-22000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-40000444-4-442000-2-2200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000

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