Finite Group Databasebeta

← Group #11895165

Character table — Group #11895165

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order1222334444666666344466612121212121212121212121212121212444441212121212121212121212121212121212121212448888121212128888444412121212121224242424228812124
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
χ5111111111111111111-1-1111111-1-1-1-11111111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1
χ6111111111111111111-1-1111111-1-1-1-11111111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111
χ7111111111111111111-1-1111111-1-1-1-1111111111-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11
χ8111111111111111111-1-1111111-1-1-1-1111111111-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1
χ9111111-1-1111111111-1111111-1-11111-1-111-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-111111-11-11-111-1-111-1-111-1-11-1-1
χ10111111-1-1111111111-1111111-1-11111-1-111-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-11-1-111-111-1-1-1-111-1-111-111
χ11111111-1-1111111111-1111111-1-11111-1-111-1-1-1-11-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-11-1-11111-1-1-1-1111-11
χ12111111-1-1111111111-1111111-1-11111-1-111-1-1-1-11-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-1111111-11-11-11-1-111-1-11111-1-1-11-1
χ13111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111-1-11-1-1-111-11111-1-1-1-1-1-111111-111-1-111-1-11111-11-111-1-1-11111-1-1-1-1-1-1-111
χ14111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111-1-11-1-1-111-11111-1-1-1-1-1-111111-1-1-11111-1-1-1-1-1-1-111-11-1-1-111-1-11111111-1-1
χ15111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-1111-1-1-111-11111-1-1-1-1-1-11111-1111-1-1-1-111-1-1-1-11-1-11-1111-1-111-1-11111-11-1
χ16111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-1111-1-1-111-11111-1-1-1-1-1-11111-11-1-111-1-11111111-11-1-1111-1-1-1-111-1-1-1-11-11
χ1722222222-2-22222222-200222-222000022-2-22222-222220-20000-200-2-2-2-200000000-2-20000222200000000-2-2000000000000000
χ1822222222-2-22222222-200222-222000022-2-22222-2-2-2-2-20-20000-200-2-2-2-200000000220000-2-2-2-20000000022000000000000000
χ19222222-2-2-2-22222222200222-2-2-20000-2-2-2-2-2-2-2-2-222-2-2020000200-2-22200000000-22000022-2-200000000-22000000000000000
χ20222222-2-2-2-22222222200222-2-2-20000-2-2-2-2-2-2-2-2-2-2-222020000200-2-222000000002-20000-2-222000000002-2000000000000000
χ2122222-1222222-1-12-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-100002200-1-1-1-1-1-100000000000
χ2222222-1222222-1-12-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000011110000-2-20011111100000000000
χ2322222-1222222-1-12-1-12-2-2-1-1-12-1-1111122-1-1-1-1-1-122222-22-2-2-2-2-111-1-1-1-111111111220000-1-1-1-10000-2-200-1-1111100000000000
χ2422222-1222222-1-12-1-12-2-2-1-1-12-1-1111122-1-1-1-1-1-12-2-2-2-2-22-2-2-2-2-111-1-1-1-111111111-2-2000011110000220011-1-1-1-100000000000
χ2522222-122-2-222-1-12-1-1-200-1-1-1-2-1-1−i3−i3i3i32211-1-1-1-1-222220-200001−i3i31111−i3−i3i3i3−i3−i3i3i3-2-20000-1-1-1-10000000011−i3i3−i3i300000000000
χ2622222-122-2-222-1-12-1-1-200-1-1-1-2-1-1−i3−i3i3i32211-1-1-1-1-2-2-2-2-20-200001−i3i31111−i3−i3i3i3−i3−i3i3i3220000111100000000-1-1i3−i3i3−i300000000000
χ2722222-122-2-222-1-12-1-1-200-1-1-1-2-1-1i3i3−i3−i32211-1-1-1-1-222220-200001i3−i31111i3i3−i3−i3i3i3−i3−i3-2-20000-1-1-1-10000000011i3−i3i3−i300000000000
χ2822222-122-2-222-1-12-1-1-200-1-1-1-2-1-1i3i3−i3−i32211-1-1-1-1-2-2-2-2-20-200001i3−i31111i3i3−i3−i3i3i3−i3−i3220000111100000000-1-1−i3i3−i3i300000000000
χ2922222-1-2-22222-1-12-1-1-222-1-1-1211-1-1-1-1-2-2-1-11111222-2-2-2-222-2-2111-1-111-1-1-1-111112-20000-1-11100002-200-11-1-11100000000000
χ3022222-1-2-22222-1-12-1-1-222-1-1-1211-1-1-1-1-2-2-1-111112-2-222-2-222-2-2111-1-111-1-1-1-11111-22000011-1-10000-22001-111-1-100000000000
χ3122222-1-2-22222-1-12-1-1-2-2-2-1-1-12111111-2-2-1-11111222-2-22-2-2-2221-1-1-1-1111111-1-1-1-12-20000-1-1110000-2200-1111-1-100000000000
χ3222222-1-2-22222-1-12-1-1-2-2-2-1-1-12111111-2-2-1-111112-2-2222-2-2-2221-1-1-1-1111111-1-1-1-1-22000011-1-100002-2001-1-1-11100000000000
χ3322222-1-2-2-2-222-1-12-1-1200-1-1-1-211−i3−i3i3i3-2-2111111-222-2-2020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-220000-1-111000000001-1−i3i3i3−i300000000000
χ3422222-1-2-2-2-222-1-12-1-1200-1-1-1-211−i3−i3i3i3-2-2111111-2-2-222020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-2000011-1-100000000-11i3−i3−i3i300000000000
χ3522222-1-2-2-2-222-1-12-1-1200-1-1-1-211i3i3−i3−i3-2-2111111-222-2-2020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-220000-1-111000000001-1i3−i3−i3i300000000000
χ3622222-1-2-2-2-222-1-12-1-1200-1-1-1-211i3i3−i3−i3-2-2111111-2-2-222020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-2000011-1-100000000-11−i3i3i3−i300000000000
χ372222-122222-1-122-12-1222-1-1-1-1222222-1-122-1-1-1-1-100002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1002222000000000022000000-1-1-1-10000-1-10
χ382222-122222-1-122-12-1222-1-1-1-1222222-1-122-1-1-1-1-100002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000000-2-200000011110000110
χ392222-122222-1-122-12-12-2-2-1-1-1-122-2-2-2-2-1-122-1-1-1-1-10000-2-111112-2-2-1-1-1-1111111110022220000000000-2-2000000-1-1-1-10000110
χ402222-122222-1-122-12-12-2-2-1-1-1-122-2-2-2-2-1-122-1-1-1-1-10000-2-111112-2-2-1-1-1-11111111100-2-2-2-200000000002200000011110000-1-10
χ412222-12-2-222-1-122-12-1-222-1-1-1-1-2-2222211221111-10000-21-1-111-2-2-2-1-111-1-1-1-111110022-2-200000000002-2000000-1-1110000-110
χ422222-12-2-222-1-122-12-1-222-1-1-1-1-2-2222211221111-10000-21-1-111-2-2-2-1-111-1-1-1-1111100-2-2220000000000-2200000011-1-100001-10
χ432222-12-2-222-1-122-12-1-2-2-2-1-1-1-1-2-2-2-2-2-211221111-100002111-1-1-222-1-1111111-1-1-1-10022-2-20000000000-22000000-1-11100001-10
χ442222-12-2-222-1-122-12-1-2-2-2-1-1-1-1-2-2-2-2-2-211221111-100002111-1-1-222-1-1111111-1-1-1-100-2-22200000000002-200000011-1-10000-110
χ452-22-22200-222-2-2-2-22202i−2i-22-2-2002i−2i2i−2i002-2000020000002i−2i000002-2002i−2i2i−2i000000000000002i2i−2i−2i000000000000002-200000
χ462-22-22200-222-2-2-2-22202i−2i-22-2-2002i−2i2i−2i002-2000020000002i−2i000002-2002i−2i2i−2i00000000000000−2i−2i2i2i00000000000000-2200000
χ472-22-22200-222-2-2-2-2220−2i2i-22-2-200−2i2i−2i2i002-200002000000−2i2i000002-200−2i2i−2i2i000000000000002i2i−2i−2i00000000000000-2200000
χ482-22-22200-222-2-2-2-2220−2i2i-22-2-200−2i2i−2i2i002-200002000000−2i2i000002-200−2i2i−2i2i00000000000000−2i−2i2i2i000000000000002-200000
χ492-2-22222-200-2-22-22-220002-2-202-200002-20022-2-202-22-200000000000000000000000−i2i2−i2i22-22-2−i2i2−i2i20000000000−i2i2−i2i200−i2i2000
χ502-2-22222-200-2-22-22-220002-2-202-200002-20022-2-202-22-200000000000000000000000i2−i2i2−i22-22-2i2−i2i2−i20000000000i2−i2i2−i200i2−i2000
χ512-2-22222-200-2-22-22-220002-2-202-200002-20022-2-20-22-2200000000000000000000000−i2i2−i2i2-22-22i2−i2i2−i20000000000−i2i2−i2i200i2−i2000
χ522-2-22222-200-2-22-22-220002-2-202-200002-20022-2-20-22-2200000000000000000000000i2−i2i2−i2-22-22−i2i2−i2i20000000000i2−i2i2−i200−i2i2000
χ532-2-2222-2200-2-22-22-220002-2-20-220000-2200-2-22202-2-2200000000000000000000000−i2i2i2−i22-2-22−i2i2−i2i20000000000−i2i2i2−i200i2−i2000
χ542-2-2222-2200-2-22-22-220002-2-20-220000-2200-2-22202-2-2200000000000000000000000i2−i2−i2i22-2-22i2−i2i2−i20000000000i2−i2−i2i200−i2i2000
χ552-2-2222-2200-2-22-22-220002-2-20-220000-2200-2-2220-222-200000000000000000000000−i2i2i2−i2-222-2i2−i2i2−i20000000000−i2i2i2−i200−i2i2000
χ562-2-2222-2200-2-22-22-220002-2-20-220000-2200-2-2220-222-200000000000000000000000i2−i2−i2i2-222-2−i2i2−i2i20000000000i2−i2−i2i200i2−i2000
χ574444-2444-4-4-2-244-24-2-400-2-2-22440000-2-2-4-4-2-2-2-220000020000-40022220000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-244-24-2400-2-2-22-4-4000022-4-42222200000-2000040022-2-20000000000000000000000000000000000000000000
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
χ604444-2-24444-2-2-2-2-2-214-4-4111-2-2-22222-2-2-2-21111-20000-4-22222-2221111-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4001112-2-2−2i3−2i32i32i3-2-2221111200000200002−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4001112-2-22i32i3−2i3−2i3-2-22211112000002000022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-444111-222-2-2-2-222-2-2-1-1-1-1-20000-42-2-22222211-1-11111-1-1-1-100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4-4-4111-222222222-2-2-1-1-1-1-200004222-2-22-2-211-1-1-1-1-1-1111100000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21400111222−2i3−2i32i32i32222-1-1-1-1200000-20000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-214001112222i32i3−2i3−2i32222-1-1-1-1200000-20000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000
χ6744-4-4440000-44-44-4-44000-4-4400000000000000000000000000000000000000000000000000022−22−2222000000000000000000000
χ6844-4-4440000-44-44-4-44000-4-44000000000000000000000000000000000000000000000000000−222222−22000000000000000000000
χ694-44-444004-44-4-4-4-444000-44-4400000000-440000-40000000000000-44000000000000000000000000000000000000000000000
χ704-44-44-2004-44-422-4-2-20002-2240023−23−2323002-20000-400000000000002-20023−23−2323000000000000000000000000000000000000000
χ714-44-44-2004-44-422-4-2-20002-22400−232323−23002-20000-400000000000002-200−232323−23000000000000000000000000000000000000000
χ724-44-44-200-444-422-4-2-204i−4i2-22-400−2i2i−2i2i00-22000040000004i−4i00000-2200−2i2i−2i2i000000000000000000000000000000000000000
χ734-44-44-200-444-422-4-2-20−4i4i2-22-4002i−2i2i−2i00-2200004000000−4i4i00000-22002i−2i2i−2i000000000000000000000000000000000000000
χ744-44-4-24004-4-22-4-424-20002-22-200000000-440000200000000−2i32i30002-2000000−2i32i3−2i32i300000000000000000000000000000000000
χ754-44-4-24004-4-22-4-424-20002-22-200000000-4400002000000002i3−2i30002-20000002i3−2i32i3−2i300000000000000000000000000000000000
χ764-44-4-2400-44-22-4-424-204i−4i2-222004i−4i4i−4i004-40000-2000000−2i2i00000-2200−2i2i−2i2i000000000000000000000000000000000000000
χ774-44-4-2400-44-22-4-424-20−4i4i2-22200−4i4i−4i4i004-40000-20000002i−2i00000-22002i−2i2i−2i000000000000000000000000000000000000000
χ784-44-4-2-2004-4-22222-21000-11-1-20023−23−2323002-23i−3i3i−3i200000000−2i32i3000-113i−3i−333−3i3−i3i3−i300000000000000000000000000000000000
χ794-44-4-2-2004-4-22222-21000-11-1-20023−23−2323002-2−3i3i−3i3i2000000002i3−2i3000-11−3i3i−333−3−i3i3−i3i300000000000000000000000000000000000
χ804-44-4-2-2004-4-22222-21000-11-1-200−232323−23002-23i−3i3i−3i2000000002i3−2i3000-113i−3i3−3−33−i3i3−i3i300000000000000000000000000000000000
χ814-44-4-2-2004-4-22222-21000-11-1-200−232323−23002-2−3i3i−3i3i200000000−2i32i3000-11−3i3i3−3−33i3−i3i3−i300000000000000000000000000000000000
χ824-44-4-2-200-44-22222-2104i−4i-11-1200−2i2i−2i2i00-223i−3i3i−3i-2000000−2i2i000001-1−3i3ii−ii−i-333-300000000000000000000000000000000000
χ834-44-4-2-200-44-22222-2104i−4i-11-1200−2i2i−2i2i00-22−3i3i−3i3i-2000000−2i2i000001-13i−3ii−ii−i3-3-3300000000000000000000000000000000000
χ844-44-4-2-200-44-22222-210−4i4i-11-12002i−2i2i−2i00-223i−3i3i−3i-20000002i−2i000001-1−3i3i−ii−ii3-3-3300000000000000000000000000000000000
χ854-44-4-2-200-44-22222-210−4i4i-11-12002i−2i2i−2i00-22−3i3i−3i3i-20000002i−2i000001-13i−3i−ii−ii-333-300000000000000000000000000000000000
χ864-4-444-24-400-4-4-2242-2000-2220-2200004-400-2-22204-44-4000000000000000000000000000-22-220000000000000000000000000
χ874-4-444-24-400-4-4-2242-2000-2220-2200004-400-2-2220-44-440000000000000000000000000002-22-20000000000000000000000000
χ884-4-444-2-4400-4-4-2242-2000-22202-20000-440022-2-204-4-44000000000000000000000000000-222-20000000000000000000000000
χ894-4-444-2-4400-4-4-2242-2000-22202-20000-440022-2-20-444-40000000000000000000000000002-2-220000000000000000000000000
χ904-4-44-244-400224-4-2-4-2000-22204-40000-2200-2-2220000000000000000000000000000−2i22i2−2i22i2000000000000000000i2−i2i2−i20000000
χ914-4-44-244-400224-4-2-4-2000-22204-40000-2200-2-22200000000000000000000000000002i2−2i22i2−2i2000000000000000000−i2i2−i2i20000000
χ924-4-44-24-4400224-4-2-4-2000-2220-4400002-20022-2-20000000000000000000000000000−2i22i22i2−2i2000000000000000000i2−i2−i2i20000000
χ934-4-44-24-4400224-4-2-4-2000-2220-4400002-20022-2-200000000000000000000000000002i2−2i2−2i22i2000000000000000000−i2i2i2−i20000000
χ9488-8-88-40000-884-4-84-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4800004-4-884-8-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-400004-44-4442000-2-22000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-400004-44-4442000-2-2200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-48-80044-44-4420002-2-20-440000-440022-2-20000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-4-880044-44-4420002-2-204-400004-400-2-2220000000000000000000000000000000000000000000000000000000000000

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