Finite Group Databasebeta

← Group #11887668

Character table — Group #11887668

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order122233444466666634446661212121212121212121212121212121222224121212121212121212121212121212121212121244666688888888444412121212121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1
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
χ5111111111111111111-1-11111111111-1-1-1-1111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1
χ6111111111111111111-1-11111111111-1-1-1-1111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111
χ7111111111111111111-1-11111111111-1-1-1-111111-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-11
χ8111111111111111111-1-11111111111-1-1-1-111111-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1
χ9111111-1-1111111111-111111-1-1-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-111111-11-11-111-1-111-1-111-1-11-1-1
χ10111111-1-1111111111-111111-1-1-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-111-1-1-1-11-1-111-111-1-1-1-111-1-111-111
χ11111111-1-1111111111-111111-1-1-1-11111111-1-1-1-11-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1111-11
χ12111111-1-1111111111-111111-1-1-1-11111111-1-1-1-11-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-1111111-11-11-11-1-111-1-11111-1-1-11-1
χ13111111-1-1111111111-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-11-1-1-111-11111-1-1-1-1-1-111111-111-1-111-1-11111-11-111-1-1-11111-1-1-1-1-1-1-111
χ14111111-1-1111111111-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-11-1-1-111-11111-1-1-1-1-1-111111-111-1-1-1-111-1-1-1-1-111-11-1-1-111-1-11111111-1-1
χ15111111-1-1111111111-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1111-1-1-111-11111-1-1-1-1-1-11111-11-1-11111-1-1-1-1-1-11-1-11-1111-1-111-1-11111-11-1
χ16111111-1-1111111111-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1111-1-1-111-11111-1-1-1-1-1-11111-11-1-111-1-11111111-11-1-1111-1-1-1-111-1-1-1-11-11
χ1722222222-2-22222222-2002222222-2-2-200002222-222220-20000-200-2-2-2-200000000-2-22222000000000000-2-2000000000000000
χ1822222222-2-22222222-2002222222-2-2-200002222-2-2-2-2-20-20000-200-2-2-2-20000000022-2-2-2-200000000000022000000000000000
χ19222222-2-2-2-22222222200222-2-2-2-2-2-2-20000-2-2-2-2-222-2-2020000200-2-22200000000-2222-2-2000000000000-22000000000000000
χ20222222-2-2-2-22222222200222-2-2-2-2-2-2-20000-2-2-2-2-2-2-222020000200-2-222000000002-2-2-2220000000000002-2000000000000000
χ2122222-122222-12-12-1-1222-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1000000002200-1-1-1-1-1-100000000000
χ2222222-122222-12-12-1-1222-1-1-122-1-1-1-12-1-1-1-1-1-1-1-12-2-2-2-22222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2111100000000-2-20011111100000000000
χ2322222-122222-12-12-1-12-2-2-1-1-122-1-1-1-121111-1-1-1-122222-22-2-211-1-2-2-1-1-1-11111111122-1-1-1-100000000-2-200-1-1111100000000000
χ2422222-122222-12-12-1-12-2-2-1-1-122-1-1-1-121111-1-1-1-12-2-2-2-2-22-2-211-1-2-2-1-1-1-111111111-2-2111100000000220011-1-1-1-100000000000
χ2522222-122-2-22-12-12-1-1-200-1-1-122-1-111-2−i3−i3i3i3-1-1-1-1-222220-200−i3i31001111−i3−i3i3i3−i3−i3i3i3-2-2-1-1-1-100000000000011−i3i3−i3i300000000000
χ2622222-122-2-22-12-12-1-1-200-1-1-122-1-111-2−i3−i3i3i3-1-1-1-1-2-2-2-2-20-200−i3i31001111−i3−i3i3i3−i3−i3i3i3221111000000000000-1-1i3−i3i3−i300000000000
χ2722222-122-2-22-12-12-1-1-200-1-1-122-1-111-2i3i3−i3−i3-1-1-1-1-222220-200i3−i31001111i3i3−i3−i3i3i3−i3−i3-2-2-1-1-1-100000000000011i3−i3i3−i300000000000
χ2822222-122-2-22-12-12-1-1-200-1-1-122-1-111-2i3i3−i3−i3-1-1-1-1-2-2-2-2-20-200i3−i31001111i3i3−i3−i3i3i3−i3−i3221111000000000000-1-1−i3i3−i3i300000000000
χ2922222-1-2-2222-12-12-1-1-222-1-1-1-2-211-1-12-1-1-1-11111222-2-2-2-222111-2-2-1-111-1-1-1-111112-2-1-111000000002-200-11-1-11100000000000
χ3022222-1-2-2222-12-12-1-1-222-1-1-1-2-211-1-12-1-1-1-111112-2-222-2-222111-2-2-1-111-1-1-1-11111-2211-1-100000000-22001-111-1-100000000000
χ3122222-1-2-2222-12-12-1-1-2-2-2-1-1-1-2-211-1-1211111111222-2-22-2-2-2-1-1122-1-1111111-1-1-1-12-2-1-11100000000-2200-1111-1-100000000000
χ3222222-1-2-2222-12-12-1-1-2-2-2-1-1-1-2-211-1-12111111112-2-2222-2-2-2-1-1122-1-1111111-1-1-1-1-2211-1-1000000002-2001-1-1-11100000000000
χ3322222-1-2-2-2-22-12-12-1-1200-1-1-1-2-21111-2−i3−i3i3i31111-222-2-20200i3−i3-10011-1-1−i3−i3i3i3i3i3−i3−i3-22-1-1110000000000001-1−i3i3i3−i300000000000
χ3422222-1-2-2-2-22-12-12-1-1200-1-1-1-2-21111-2−i3−i3i3i31111-2-2-2220200i3−i3-10011-1-1−i3−i3i3i3i3i3−i3−i32-211-1-1000000000000-11i3−i3−i3i300000000000
χ3522222-1-2-2-2-22-12-12-1-1200-1-1-1-2-21111-2i3i3−i3−i31111-222-2-20200−i3i3-10011-1-1i3i3−i3−i3−i3−i3i3i3-22-1-1110000000000001-1i3−i3−i3i300000000000
χ3622222-1-2-2-2-22-12-12-1-1200-1-1-1-2-21111-2i3i3−i3−i31111-2-2-2220200−i3i3-10011-1-1i3i3−i3−i3−i3−i3i3i32-211-1-1000000000000-11−i3i3i3−i300000000000
χ372222-122222-12-12-12-1222-1-1-1-1-12222-12222-1-1-1-1-100002-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000222200000022000000-1-1-1-10000-1-10
χ382222-122222-12-12-12-1222-1-1-1-1-12222-12222-1-1-1-1-100002-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2000000-2-200000011110000110
χ392222-122222-12-12-12-12-2-2-1-1-1-1-12222-1-2-2-2-2-1-1-1-1-10000-2-111-2-2211-1-1-1-1111111110000002222000000-2-2000000-1-1-1-10000110
χ402222-122222-12-12-12-12-2-2-1-1-1-1-12222-1-2-2-2-2-1-1-1-1-10000-2-111-2-2211-1-1-1-111111111000000-2-2-2-20000002200000011110000-1-10
χ412222-12-2-222-12-12-12-1-222-1-1-111-2-222-122221111-10000-21-1-1-2-2-211-1-111-1-1-1-1111100000022-2-20000002-2000000-1-1110000-110
χ422222-12-2-222-12-12-12-1-222-1-1-111-2-222-122221111-10000-21-1-1-2-2-211-1-111-1-1-1-11111000000-2-222000000-2200000011-1-100001-10
χ432222-12-2-222-12-12-12-1-2-2-2-1-1-111-2-222-1-2-2-2-21111-10000211122-2-1-1-1-1111111-1-1-1-100000022-2-2000000-22000000-1-11100001-10
χ442222-12-2-222-12-12-12-1-2-2-2-1-1-111-2-222-1-2-2-2-21111-10000211122-2-1-1-1-1111111-1-1-1-1000000-2-2220000002-200000011-1-10000-110
χ4522-2-2222-20022-2-2-2-220002-2-22-22-2000000022-2-202-22-2000000000000000000000002-22-22−22−222−2−200000000002−22−2002−2000
χ4622-2-2222-20022-2-2-2-220002-2-22-22-2000000022-2-202-22-2000000000000000000000002-22-2−22−22−2−2220000000000−22−2200−22000
χ4722-2-2222-20022-2-2-2-220002-2-22-22-2000000022-2-20-22-2200000000000000000000000-22-222−22−2−2−22200000000002−22−200−22000
χ4822-2-2222-20022-2-2-2-220002-2-22-22-2000000022-2-20-22-2200000000000000000000000-22-22−22−2222−2−20000000000−22−22002−2000
χ4922-2-222-220022-2-2-2-220002-2-2-22-220000000-2-22202-2-22000000000000000000000002-2-222−2−2222−2−200000000002−2−2200−22000
χ5022-2-222-220022-2-2-2-220002-2-2-22-220000000-2-22202-2-22000000000000000000000002-2-22−222−2−2−2220000000000−222−2002−2000
χ5122-2-222-220022-2-2-2-220002-2-2-22-220000000-2-2220-222-200000000000000000000000-222-22−2−22−2−22200000000002−2−22002−2000
χ5222-2-222-220022-2-2-2-220002-2-2-22-220000000-2-2220-222-200000000000000000000000-222-2−222−222−2−20000000000−222−200−22000
χ532-2-2222002-2-2-2-222-2202i−2i-22-200002-222i−2i2i−2i0000-20000002i−2i000002-2002i−2i2i−2i000000000000002i−2i2i−2i000000000000002-200000
χ542-2-2222002-2-2-2-222-2202i−2i-22-200002-222i−2i2i−2i0000-20000002i−2i000002-2002i−2i2i−2i00000000000000−2i2i−2i2i00000000000000-2200000
χ552-2-2222002-2-2-2-222-220−2i2i-22-200002-22−2i2i−2i2i0000-2000000−2i2i000002-200−2i2i−2i2i000000000000002i−2i2i−2i00000000000000-2200000
χ562-2-2222002-2-2-2-222-220−2i2i-22-200002-22−2i2i−2i2i0000-2000000−2i2i000002-200−2i2i−2i2i00000000000000−2i2i−2i2i000000000000002-200000
χ574444-2444-4-4-24-24-24-2-400-2-2-2-2-244-4-420000-2-2-2-220000020000-40022220000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-24-24-24-2400-2-2-222-4-4-4-4200002222200000-2000040022-2-20000000000000000000000000000000000000000000
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
χ604444-2-24444-2-2-2-2-2-214-4-4111-2-2-2-2-2-2-222221111-20000-4-22222-2221111-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-400111-2-2-2-2222−2i3−2i32i32i31111200000200−2i32i3200-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-400111-2-2-2-22222i32i3−2i3−2i311112000002002i3−2i3200-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-4441112222-2-2-2-2-2-2-2-1-1-1-1-20000-42-2-22222211-1-11111-1-1-1-100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4-4-41112222-2-2-22222-1-1-1-1-200004222-2-22-2-211-1-1-1-1-1-1111100000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-214001112222222−2i3−2i32i32i3-1-1-1-1200000-2002i3−2i3-200-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-2140011122222222i32i3−2i3−2i3-1-1-1-1200000-200−2i32i3-200-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000
χ6744-4-44-24-4004-2-42-42-2000-2224-4-220000000-2-22204-44-400000000000000000000000-22-2200000000000000000000000000000
χ6844-4-44-24-4004-2-42-42-2000-2224-4-220000000-2-2220-44-44000000000000000000000002-22-200000000000000000000000000000
χ6944-4-44-2-44004-2-42-42-2000-222-442-2000000022-2-204-4-4400000000000000000000000-222-200000000000000000000000000000
χ7044-4-44-2-44004-2-42-42-2000-222-442-2000000022-2-20-444-4000000000000000000000002-2-2200000000000000000000000000000
χ7144-4-4-244-400-242-42-4-2000-222-224-40000000-2-2220000000000000000000000000000000022−2222−2200000000000000−22−220000000
χ7244-4-4-244-400-242-42-4-2000-222-224-40000000-2-22200000000000000000000000000000000−2222−2222000000000000002−22−20000000
χ7344-4-4-24-4400-242-42-4-2000-2222-2-44000000022-2-20000000000000000000000000000000022−22−222200000000000000−222−20000000
χ7444-4-4-24-4400-242-42-4-2000-2222-2-44000000022-2-200000000000000000000000000000000−222222−22000000000000002−2−220000000
χ754-44-4440000-4-44-4-444000-4-44000000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ764-44-4440000-4-44-4-444000-4-440000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ774-4-444400-44-4-4-444-44000-44-40000-44-40000000040000000000000-44000000000000000000000000000000000000000000000
χ784-4-444-2004-4-42-4-242-204i−4i2-220000-224−2i2i−2i2i0000-40000004i−4i00000-2200−2i2i−2i2i000000000000000000000000000000000000000
χ794-4-444-2004-4-42-4-242-20−4i4i2-220000-2242i−2i2i−2i0000-4000000−4i4i00000-22002i−2i2i−2i000000000000000000000000000000000000000
χ804-4-444-200-44-42-4-242-20002-2200002-2-423−23−23230000400000000000002-20023−23−2323000000000000000000000000000000000000000
χ814-4-444-200-44-42-4-242-20002-2200002-2-4−232323−230000400000000000002-200−232323−23000000000000000000000000000000000000000
χ824-4-44-24004-42-424-2-4-204i−4i2-2200004-4-24i−4i4i−4i00002000000−2i2i00000-2200−2i2i−2i2i000000000000000000000000000000000000000
χ834-4-44-24004-42-424-2-4-20−4i4i2-2200004-4-2−4i4i−4i4i000020000002i−2i00000-22002i−2i2i−2i000000000000000000000000000000000000000
χ844-4-44-2400-442-424-2-4-20002-220000-44200000000-200000000000−2i32i32-2000000−2i32i3−2i32i300000000000000000000000000000000000
χ854-4-44-2400-442-424-2-4-20002-220000-44200000000-2000000000002i3−2i32-20000002i3−2i32i3−2i300000000000000000000000000000000000
χ864-4-44-2-2004-4222-2-22104i−4i-11-10000-22-2−2i2i−2i2i3i−3i3i−3i2000000−2i2i000001-13i−3ii−ii−i3-3-3300000000000000000000000000000000000
χ874-4-44-2-2004-4222-2-22104i−4i-11-10000-22-2−2i2i−2i2i−3i3i−3i3i2000000−2i2i000001-1−3i3ii−ii−i-333-300000000000000000000000000000000000
χ884-4-44-2-2004-4222-2-2210−4i4i-11-10000-22-22i−2i2i−2i3i−3i3i−3i20000002i−2i000001-13i−3i−ii−ii-333-300000000000000000000000000000000000
χ894-4-44-2-2004-4222-2-2210−4i4i-11-10000-22-22i−2i2i−2i−3i3i−3i3i20000002i−2i000001-1−3i3i−ii−ii3-3-3300000000000000000000000000000000000
χ904-4-44-2-200-44222-2-221000-11-100002-2223−23−23233i−3i3i−3i-2000000000002i3−2i3-11−3i3i−333−3−i3i3−i3i300000000000000000000000000000000000
χ914-4-44-2-200-44222-2-221000-11-100002-2223−23−2323−3i3i−3i3i-200000000000−2i32i3-113i−3i−333−3i3−i3i3−i300000000000000000000000000000000000
χ924-4-44-2-200-44222-2-221000-11-100002-22−232323−233i−3i3i−3i-200000000000−2i32i3-11−3i3i3−3−33i3−i3i3−i300000000000000000000000000000000000
χ934-4-44-2-200-44222-2-221000-11-100002-22−232323−23−3i3i−3i3i-2000000000002i3−2i3-113i−3i3−3−33−i3i3−i3i300000000000000000000000000000000000
χ9488-8-8-4-48-800-4-4444420002-2-2-44-44000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4-8800-4-4444420002-2-24-44-40000000-2-2220000000000000000000000000000000000000000000000000000000000000
χ968-88-88-40000-8484-8-4-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4800004-8-4-848-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4000044-444-42000-2-22000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4000044-444-42000-2-2200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000

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